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Beginning -'p@ lk
1. In this paper, we focus on the need for l:5CM[mZ
2. This paper proceeds as follow. w?$u! X
3. The structure of the paper is as follows. M~{P',l*
4. In this paper, we shall first briefly introduce fuzzy sets and related 4W//Oc@e
concepts zcD_}t_K
5. To begin with we will provide a brief background on the &8_#hne_
Introduction V^$rH<
1. This will be followed by a description of the fuzzy nature of the QSs$
problem and a detailed presentation of how the required w#G=Z_Tt
membership functions are defined. Ignv|TYG
2. Details on xx and xx are discussed in later sections. \gI:`>-
x
3. In the next section, after a statement of the basic problem, various 5q_OuZ/6
situations involving possibility knowledge are investigated: first, an c%LB|(@j{
entirely possibility model is proposed; then the cases of a fuzzy Pdm6u73
service time with stochastic arrivals and non-fuzzy service rule is 7U[L\1zS
studied; lastly, fuzzy service rule are considered. }jY[| >z
Review 548[!p4
1. This review is followed by an introduction. =u3@ Dhw
2. A brief summary of some of the relevant concepts in xxx and xxx is 2eR+dT
presented in Section 2. aEqI51I
3. In the next section, a brief review of the .... is given. >5@vY?QXO
4. In the next section, a short review of ... is given with special regard n\"LN3
to ... cJWfLD>2_!
5. Section 2 reviews relevant research related to xx. LI|HET_
6. Section 1.1 briefly surveys the motivation for a methodology of g\{! 21M
action, while 1.2 looks at the difficulties posed by the complexity of F3 l^^Mc
systems and outlines the need for development of possibility Fee WZe0i
methods. 6[|<
Body ^RyTK|SQ
1. Section 1 defines the notion of robustness, and argues for its :0j`yo:w
'kg]|"M
importance. (DMnwqr
2. Section 1 devoted to the basic aspects of the FLC decision-making n25tr'=
logic. I.0P7eA-
3. Section 2 gives the background of the problem which includes xxx yqb<<4I
4. Section 2 discusses some problems with and approaches to, zu*G4?]~h
natural language understanding. lvJ{=~u
5. Section 2 explains how flexibility which often ... can be expressed $F()
`L{Tj
in terms of fuzzy time-window 0#/
6P&6
6. Section 3 discusses the aspects of fuzzy set theory that are used in y^46z(I
the ... j"sO<Q{6%
7. Section 3 describes the system itself in a general way, including j4SGA#;v
the ….. and also discusses how to evaluate system performance. X|1YGZJ
8. Section 3 describes a new measure of xx. $(L7/M
9. Section 3 demonstrates the use of fuzzy possibility theory in the N&h!14]{Z
analysis of xx. pvU oed\
10. Section 3 is a fine description of fuzzy formulation of human `DllW{l
decision. 6:tr8 X_
11. Section 3 is developed to the modeling and processing of fuzzy `srZ#F5
decision rules A y[L{!)2{
12. The main idea of the FLC is described in Section 3 while Section 4 _1c_TM h}9
describes the xx strategies. AR6vc
13. Section 3 and 4 show experimental studies for verifying the l{o{=]x1
proposed model. W*`6ero
14. Section 4 discusses a previous fuzzy set-based approach to cost 5m
?$\h
variance investigation. PSR`8z n
15. Section 4 gives a specific example of xxx. oz-I/g3go
16. Section 4 is the experimental study to make a fuzzy model of 2vQ^519
memory process. <u wCP4E
17. Section 4 contains a discussion of the implication of the results of '\\Cpc_g
Section 2 and 3. Z`c{LYP,y"
18. Section 4 applies this fuzzy measure to the analysis of xx and wx5*!^&j
illustrate its use on experimental data. NP*0WT_gB
19. Section 5 presents the primary results of the paper: a fuzzy set P$Ru NF
model .. lFY8^#@
f.^w/ GJO/
20. Section 5 contains some conclusions plus some ideas for further Yb{t!KL
work. @0'|Uygn
21. Section 6 illustrates the model with an example. kk+8NwM1
22. Various ways of justification and the reasons for their choice are j!7Uj]
discussed very briefly in Section 2. o|q#A3%?
23. In Section 2 are presented the block diagram expression of a <U pjAuG8
whole model AI; =k
of human DM system ~U+'3.Wo
24. In Section 2 we shall list a collection of basic assumptions which :q1r2&ne
a ... scheme must satisfy. 6E]rxps}"
25. In Section 2 of this paper, we present representation and 6|}mTG^
uniqueness theorems for the fundamental measurement of fuzziness G3?z.5,Q
when the domain of discourse is order-dense. 1hi j4m$b
26. In Section 3, we describe the preliminary results of an empirical ayp}
TYh*
study Q~_x
%KN/`
currently in progress to verify the measurement model and to Din)5CxFX
construct membership functions. 3IFU{0a`
27. In Section 5 is analyzed the inference process through the two p#2th`M:P1
kinds of inference experiments... P\e%8&_U/
This Section '%N)(S`O7P
1. In this section, the characteristics and environment under which f
lB2gr^
MRP is designed are described. aa/9o]
2. We will provide in this section basic terminologies and notations {+Yo&F}n
which are necessary for the understanding of subsequent results. p;Kr664
Next Section 9MxGyGz$
2. The next section describes the mathematics that goes into the |=s3
a5sl
computer implementation of such fuzzy logic statements. 5Y^YKV{
3. However, it is cumbersome for this purpose and in practical mN02T@R
-
applications the formulae were rearranged and simplified as {wI0 =U
discussed in the next section. kZQ;\QL1}
4. The three components will be described in the next two section, cqudF=q
and an example of xx analysis of a computer information system will S##W_OlrI
jQ*Qh
then illustrate their use. t
,$)PV
5. We can interpret the results of Experiments I and II as in the 4a-wGx#h
following sections. "Q1hP9xV
6. The next section summarizes the method in a from that is useful {NR~>=~K-
for arguments based on xx zdCt#=QV?R
Summary &kvVMnok
1. This paper concludes with a discussion of future research
r DuG["
consideration in section 5. R9(^CWs
2. Section 5 summarizes the results of this investigation. *?{)i~
3. Section 5 gives the conclusions and future directions of research. X}$S|1CjO
4. Section 7 provides a summary and a discussion of some extensions yrw!b\
of the paper. _wBPn6gg`
5. Finally, conclusions and future work are summarized h.nz kp5
6. The basic questions posed above are then discussed and y@I"Hk<T
conclusions are drawn. ',f[y:v;
7. Section 7 is the conclusion of the paper. #u_-TWVt
Chapter 0. Abstract sZc<h]L(g
1. A basic problem in the design of xx is presented by the choice of a F~EriO
xx rate for the measurement of experimental variables. vJ!t.Vou
2. This paper examines a new measure of xx in xx based on fuzzy /-T%yuU
mathematics which overcomes the difficulties found in other xx y}A-o_u@cD
measures. eX\t]{\oC
3. This paper describes a system for the analysis of the xx. y^ohns5{
4. The method involves the construction of xx from fuzzy relations. BtspnVBez
5. The procedure is useful in analyzing how groups reach a decision. nP.d5%E
6. The technique used is to employ a newly developed and versatile ;Bm{_$hf=
xx algorithm. &3rh{" ^9
7. The usefulness of xx is also considered. k:fRk<C
8. A brief methodology used in xx is discussed. D3eK!'qS
9. The analysis is useful in xx and xx problem. >QYxX<W
10. A model is developed for a xx analysis using fuzzy matrices. ZEW`?6
11. Algorithms to combine these estimates and produce a xx are .*ZNZ|g_
LTxOq|/Cq
presented and justified. 5QlJX
12. The use of the method is discussed and an example is given. qFay]V(O|
13. Results of an experimental applications of this xx analysis D`u{U]
procedure are given to illustrate the proposed technique. i+OyBDkJM!
14. This paper analyses problems in akR*|iK#b
15. This paper outlines the functions carried out by ... T+I|2HYqOj
16. This paper includes an illustration of the ... 9vXrC_W9
17. This paper provides an overview and information useful for 1_A< nt?'R
approaching uJi|@{V
18. Emphasis is placed on the construction of a criterion function by zDX-}t_'q
which the xx in achieving a hierarchical system of objectives are Q WOd&=:
evaluated. STO6cNi
19. The main emphasis is placed on the problem of xx 'C(YUlT2?P
20. Our proposed model is verified through experimental study. GZse8ng
21. The experimental results reveal interesting examples of fuzzy 1g
*4e
phases of: xx, xx WO|#`HM2
22. The compatibility of a project in terms of cost, and xx are likewise JD.WH|sZ5
represented by linguistic variables. RK|C* TCnl
23. A didactic example is included to illustrate the computational f"z96{zo
procedure E;k'bz
Chapter 1. Introduction r.[9/'>
Time n<?:!f`
1. Over the course of the past 30 years, .. has emerged form intuitive L \pe
2. Technological revolutions have recently hit the industrial world h&&ufF]D
3. The advent of ... systems for has had a significant impact on the gz8<&*2
4. The development of ... is explored c'[l%4U8[
5. During the past decade, the theory of fuzzy sets has developed in a q45Hmz
variety of directions -Zkl\A$>
6.The concept of xx was investigated quite intensively in recent years ;8H
m#p7,
7. There has been a turning point in ... methodology in accordance ]JbGP{UiN
with the advent of ... |.X?IJ`
8. A major concern in ... today is to continue to improve... =
oQ-I
9. A xx is a latecomer in the part representation arena. A?=g!( wB
p1q"[)WVn^
10. At the time of this writing, there is still no standard way of xx '`I&g8I\
11. Although a lot of effort is being spent on improving these ckS.j)@.c
weaknesses, the efficient and effective method has yet to be
2/3,%5j_
developed. b|P[
\9
12. The pioneer work can be traced to xx [1965]. 8A#qbBD
13. To date, none of the methods developed is perfect and all are far u?i_N0H
from ready to be used in commercial systems. '(r/@%=U
Objective / Goal / Purpose (
w}iEm\b
1. The purpose of the inference engine can be outlined as follows: $C#G8Ck,
2. The ultimate goal of the xx system is to allow the non-experts to akoK4!z
utilize the existing knowledge in the area of manual handling of loads, R.-2shOE'
and to provide intelligent, computer-aided instruction for xxx. x4Q*~,n
3. The paper concerns the development of a xx Dyyf%'\M
4. The scope of this research lies in {26/SY
5. The main theme of the paper is the application of rule-based Dk[m)]w\
decision making. jvv3;lWDL.
6. These objectives are to be met with such thoroughness and yY+)IU.
confidence as to permit ... cks53/Z
7. The objectives of the ... operations study are as follows: CY"&@v1
8. The primary purpose/consideration/objective of d e)7_pCF|
9. The ultimate goal of this concept is to provide 4>x]v!d
10. The main objective of such a ... system is to ,T&=*q
11. The aim of this paper is to provide methods to construct such LhO%^`vu
probability distribution. dY[ XNP
12. In order to achieve these objectives, an xx must meet the c
AnL,?_v
following requirements: P@lDhzd
13. In order to take advantage of their similarity S{wR Z|8U
14. more research is still required before final goal of ... can be /Y|y0iK
completed t+y$i@R:
15. In this trial, the objective is to generate... vMG >Xb
16. for the sake of concentrating on ... research issues OI/m_xx@j
17. A major goal of this report is to extend the utilization of a recently ;r<(n3"F
developed procedure for the xx. =ie8{j2:
/6S% h-#\
18. For an illustrative purpose, four well-known OR problems are {P/ sxh:e
studied in presence of fuzzy data: xx. ::?,ZA
19. A major thrust of the paper is to discuss approaches and [&H$Su}$0
strategies for structuring ..methods $r> $
u
20. This illustration points out the need to specify DpA"5RV
21. The ultimate goal is both descriptive and prescriptive. DPV>2'
fV
22. Chapter 2. Literature Review f[r?J/;P9
23. A wealth of information is to be found in the statistics literature, sVzU>
for example, regarding xx /w[B,_ZKTk
24. A considerable amount of research has been done .. during the n{Ce%gy
last decade 7
k:w3M
25. A great number of studies report on the treatment of HgVPyo
uncertainties associated with xx. VKGH+j[
26. There is considerable amount of literature on planning &>%R)?SZh
27. However, these studies do not provide much attention to J]h$4"
uncertainty in xx. WF#3'"I
28. Since then, the subject has been extensively explored and it is NCu:E{([
still under investigation as well in methodological aspects as in X6h@K</c^:
concrete applications. (v/mKG yg
29. Many research studies have been carried out on this topic. TK! D=M
30. Problem of xx draws recently more and more attention of system /Ko{S_3<I
analysis. #saK8; tp
31. Attempts to resolve this dilemma have resulted in the '
\8|`Zb
development of f52*s#4}
32. Many complex processes unfortunately, do not yield to this W~W`fm
design procedure and have, therefore, not yet been automated. ,V`zW<8
33. Most of the methods developed so far are deterministic and /or \N|ma P
probabilistic in nature. dGc<{sQzB
34. The central issue in all these studies is to Gd%X> ~
35. The problem of xx has been studied by other investigators, 3
1cC*
however, these studies have been based upon classical statistical wO-](3A-8P
approaches. g %ZKn
36. Applied ... techniques to eV"Za.a.
37. Characterized the ... system as =!R+0
Sd9%tO9mf
38. Developed an algorithm to 7^hwRZJ{
39. Developed a system called ... which 1s "/R
40. Uses an iterative algorithm to deduce ;$FpxurX
41. Emphasized the need to N!=$6`d
42. Identifies six key issues surrounding high technology H)@f_pfj(
43. A comprehensive study of the... has been undertaken QBD\2VR
44. Much work has been reported recently in these filed [t {ed)J
45. Proposed/Presented/State that/Described/Illustrated/ ;,&$ob*/
Indicated/Has shown / showed/Address/Highlights ~N!-4-~p
46. Point out that the problem of 5 0KB:1(g
47. A study on ...was done / developed by [] A}h`%b
48. Previous work, such as [] and [], deal only with lYq/
n&@_1
49. The approach taken by [] is iC`mj
50. The system developed by [] consists 7j//x Tr}a
51. A paper relevant to this research was published by [] 9FKowF_8
52. []'s model requires consideration of... [@4.<4Y
53. []' model draws attention to evolution in human development zEJZ, <
54. []'s model focuses on... wU $j/~L
55. Little research has been conducted in applying ... to ?z/ )Hkw
56. The published information that is relevant to this research... ?E2$
57. This study further shows that wVMR&R<t
58. Their work is based on the principle of up^D9(y\
59. More history of ... can be found in xx et al. [1979]. P)k!#*
60. Studies have been completed to established xkPH_+4i8
61. The ...studies indicated that ~L55l2u7
62. Though application of xx in the filed of xx has proliferated in um}%<Cy[
recent years, effort in analyzing xx, especially xx, is lacking. gd=gc<z YP
Problem / Issue / Question dPx{9Y<FzU
63. Unfortunately, real-world engineering problems such as 7#G8qh<
manufacturing planning do not fit well with this narrowly defined :Y\!~J3W
model. They tend to span broad activities and require consideration {OBV+
}#
of multiple aspects. L &nqlH@+~
64. Remedy / solve / alleviate these problems ZaKT~f%%z
67. ... is a difficult problem, yet to be adequately resolved +jifbf-
6_vhBYLf
68. Two major problems have yet to be addressed X
8#Uk} /
69. An unanswered question a|5^4 J\%
70. This problem in essence involves using x to obtain a solution. u.~`/O
71. An additional research issue to be tackled is .... POl_chq
72. Some important issues in developing a ... system are discussed ab/^z0GT
73. The three prime issues can be summarized: WNo",Vc
74. The situation leads to the problem of how to determine the ... ~;ZT<eCIA
75. There have been many attempts to Lo-\;%y
76. It is expected to be serious barrier to -]$=.0 l
77. It offers a simple solution in a limited domain for a complex b>_eD-
problem. e4rhB"qQdn
1. There are several ways to get around this problem. 3Y6W)$Q
2. As difficult as it seems to be, xx is by no means new.
jph"94
3. The problem is to recognize xx from a design representation. 7~H
.\4HB
4. A xx problem can trace its roots to xx. 8-clL\bm
5. xx [1987] used a heuristic approach to simplify the complexity of =E~)svl6g
the problem. W%,h{
6. Several problems are associated with them.
J~=tR1k
7. Although some progress has been made in this area, at least two \[MQJX,dn
major obstacles must be overcome before a fully automated system 2nsW)bd
can be realized. K2gg"#ft?
8. Most problems in practice are complicated p+
7ZGB
9. More problem surface here. "H"4]m1Wc
10. Hamper effort toward a xx system _1EWmH
Z?
11. In order to overcome the limitations due to incomplete and :0o,pndU
imprecise xx knowledge, a xx program has been developed, which
azT@S=,
bases its knowledge upon the statistical analysis of a sample XkE'k;
AEx
population of xx 2,bLEhu
12. The above difficulties are real challenges faced by researchers ;c;5O@R}3
attempting to develop
DuzJQSv
13. This type of mapping raises no controversy to the issue of aNxq_pRb
membership function determination. ^+b ??K
14. However, attempts to quantify the xx have met both theoretical W2-1oS~ma
and empirical problems. d4[mR~XXT
R[Y{pT,AY
15. It has become apparent that in order to apply this new ?Gr2@,jlD
methodological framework to real-world problems and data, we have Dqh
rg;
to pay attention to the problems of xx and xx. 8&2W^f5
Chapter 3. Proposed methodology 1 Ka,u20
Assumption :^H#i:4
1. In the case when the assumption of a xx seems to be too fBZAO
restrictive or inadequate, the formulation with Fuzzy termination Qe,aIh
time, i.e. given by a fuzzy set in the space of control stages, may be mYRW/8+g
applied. Wd78 bu|
2. We assume here the fuzzy constraints to be state-dependent, and y?4%
eD
the fuzzy goal to be the same for all the control states, xx, which 8n`O{8:fi
stems from the problem's nature. WD${f#]N
3. An approach to the solution of this problem is presented under the ?r"QJa>
assumption that the sampling rate Decision can be made prior to the uhJnDo
execution of the experiment, as opposed to being made while the 6r3.%V.&
experiment is in progress. +#Q\;;FNP
4. Another assumption made above is that there are precise odds at {
!G
which the expert is indifferent. /6@~XO)w
5. Main simplifying assumptions are: /CW
0N@
6. This, in our view, is a questionable assumption. )CAEqP
Outline / Structure / Module dvLO #o{
1. An outline of the research /yhGc}h
2. Information is incorporated within the scheme qzbpLV|
3. Is built into ... structure A\IQM^i
4. A nice modular structure. YrRD3P.P
5. The principles of ... are applied as modularized criteria kafRuO~$
Classification sC
i"qtHP
1. A xx system comprises three main components: |gP9^B?3
2. Must decompose the original .. into a set of .. VP\'p1a
3. Consists of the following steps: 8:QnxrODP
4. This is summarized in the following steps: ) }.<lSw
9PZY](/
5. Can be broadly classified into the following areas: [@RJ2q$
6. Can be characterized by its function of effectively processing the Kx[u9MD
7. Can allow further breadth of application of ...into more ;3 |Z}P
8. The following steps should be followed H)u<$y!8
9. xx can be classified by a different ways. h0v4!`PQ-
10. Based on the xx, one may classify xx into the following: ]z{f)`;I
11. This catalog may change due to wear, breakage, and purchasing. |5(<
Vk=
System I<v:xTor
1. Unlike many conventional program, expert systems do not h_{//W[
usually deal with problem for which there is clearly a right or wrong ^ .]]0Rp&
answer. E,fG<X{
2. The system consists of both ... and ... H7=[sL^
3. The system has a hierarchical modular architecture organized on gr%!<2w
three levels. O
F|3y~z
4. expert system domains are area of expertise `fA|])3T
5. To develop a xx system for xx, the following factors must be X?Yp=%%
considered: _#2AdhCu
6. The system has been developed / designed to determine K/OE;;<IA
7. The system has proven to be able to spV E'"^
8. The domain in which an expert system operates is a particular liuF;*
domain '&<T;V%
9. The system comprises a ... with HU='Hk!
10. The system is [feature-oriented ] / based on the ... technique 9*"Ae0ok1
11. The system environment must be relatively stable /%'>?8/
12. The system is utilized to generate, load, store, update and ^I4/{,Ev
retrieve ... .@(+.G
13. The development of a xx system has two stages: xx stage and xx h9B^U?<wT
stage. q!5 *)nw"
14. The most essential part of .. system is the ... Ul41R
Ny)
15. The successful developments in ESs have made them an _Coh11
important tool in the development of ~S='~ g)
16. An automated system was developed for h)vRvfcmY
17. In this case, the system can be considered to be generative.
tmCm54
W)0y+H\%
r
18. An interactive automatic ... system w=r3QKm#K
19. A …. is commonly thought of as a truly integrated .. system cjd Z.jR2
20. Should be capable of being generated from a ... system tc_D8Q_
21. xx is an important part of the integrated system. _
B5t)7I
22. The model consists of four rule bases, each of which addresses a 2`-y zm
separate problem in the hierarchy of scheduling decision. 2I2#o9(Ar
23. The rule bases are linked to each other in a chin-like manner in )AX0x1I|E
the sense that the consequent of one rule base constitutes a part of eTV%+
the antecedent of the next rule base. Zv`j+b
24. The rule base consists of all possible combinations of the XuQ7nlbnq
linguistic terms associated with the linguistic variable of the ;U
+;NsCH
antecedent of a rule. 2(,
`9
Computer System *acN/Ca1
1. The system has been implemented using Prolog language in an R"au8f.
MS-DOS environment. Prolog was chosen because it offers a well =s2dD3Fr|
known and flexible environment in which fuzzy reasoning may be d" "GG/
easily implemented. 2 us-s
2. The current version of the xx program when compiled with L=. 4x=%%
WATFOR77 results in an executable code of about 270K bytes. Pgy&/-u
Typical run time, when run on a XX computer (an IBM compatible yAu-BObD
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min 6~
*w~U
to 2h, depending on the size (or complexity) of the problem.
lF:gQ]oc
3. Time consuming procedures have been implemented in Q9lw~"
C-language and directly linked to the Prolog environment. d2Z kchf
4. The xx process, once the xx's data has been entered, requires ]7QRelMiz+
approximately 180 seconds. Wdt
9k.hzN
5. It should be noted that the computation was done with a 20 Hhz, <&7KcvBn"4
80386..209;based microcomputer equipped with a 80387 math FkdG@7Xf
co-processor. 58H [sM4>
6. The computer programs used for the analyses, one based on the xx RLypWjMx$
method and the other based on the new method, were written in Lx-ofN\
FORTRAN with a compiler that supports the math co-processor. oKIry
8'^N
7. Lisp, Prolog give maximum flexibility but also maximizes 5Rv6+d
Gs*FbrY
development time. {emO=@CP
l Internal representation is the way a model is represented in the tylMJ$ 9*.
computer. pV#~$e
l An interactive menu-driven procedure is used in this study tJ>OZ
l Shell can be develop very fast at the cost of time fairly severe 8>Xyz`$kH
limitations. Z!TLWX"
l While there is no measurable saving of time for the case involving IqK??KSC
five criteria, the saving is dramatic for the case involving 10 criteria DLYk#d: q?
-- the computation time reduces from 10 hr 40 min to about 1 min. )bZS0f-
l This combination is being implemented in an objected-oriented ;d1\2H
programming environment (Smalltalk-80 system) to solve problems >9{Gdq[gyr
encountered in construction xxx. 0>Y3>vwSl
Method / Approach / Study / Process Model / Equation /Algorithm / +'abAST
t
Rule / Formula / Technique /TTmMx*
l A discussion is presented of a problem-solving system .__X-+^
l To improve the efficiency of the method, the following approach eK\1cs
may be applied. gc-y
UH0I
l In order to an investigation was made to find the causes of the i]8HzKuiW
l Although large collections of rules and equations have been `;-K/)/x
complied, none are generally accepted YC#N],#
l This approach will be explained and discussed thoroughly in the !Q!==*1H
body of the report. K
&m`1f
l This can be accomplished by q3\
YL?
l This algorithm to compute the total cost can be described step by u1F@VV{
step as follows: q"OvuHBSOn
l The above preliminary analysis has provided important 12;"=9e!
information H8+7rM
l Various methods have been proposed for selecting an optimum... T+7O+X#
l These concepts have been applied to m@)~.E
l On the basis of the concept mentioned above, ftB-g
ItV
l This can be achieved by qc_c&
l This fact suggests that a new concept x
5vvY
l This was accomplished by taking ... H(U`S
K^j7T[pR
l The preparatory stage is very time consuming process. :,03)[u{8
l Test are performed for validity, completeness, and compatibility ?s[ kUv+=
l There is little hope of achieving successful ... Pu dIb|V2
l There has been an increasing awareness of the potential of using XVcY?_AS#
most ..so far made have not taken this approach, with the exception {fe[$KQ
of -J8&!S8 X
l Only a few studies can be found. U:xY~>
l It is a very tedious process to go through c3,YA,skb!
l It is only when .. has been completed that .. may be effected U_
ELeW5@
l The entire interpretation process is conducted in one's head. C&Rv$<qc
l These approaches are sometimes very tedious. `
6
a
l Several techniques can be used T.\=R
l A polynomial parametric model can be written as [the %O]]La
following]/[follows]: (/TYET_H
l A xx model is constructed/formulated using xx. S-{=4b'
l A xx model represents an xx by its xx. *Ii_dpJ
l A process decision model captures the logic essential to J?VMQTa/+
l From the equation above, xx is equal to the summation of xx T%|{Qo<j
times the ... OolYQU1_
l The validity of a xx model can be checked using Euler's formula. C sXV0
l Given a model, one can mathematically determine whether ... or ... oD1rt>k
l Equations for xx need to be derived and implemented in the DJ)Q,l*|N9
system. >@?!-Fy5
l A number of heuristic rules have been developed for M&au
A
l Optimum .. techniques can be made more reliable by ... so that 6! `^}4
l An algorithm based on the characteristic ... is used to determine h=:Ls]ZU
l Euler's formula states the following: miWog 8j
l The completed model should agree with the formula. QX`Qnk|Y
l For manufacturing purposes, a detailed and precise model of the 2>`m1q:
object is necessary L>xecep
l Engineering design models are very well defined; therefore,
T$w`=7
l To keep the domain narrow enough to be implementable, yet wide 4WspPHj
enough to #Y|t,x;
be useful. +UvT;"
s}w?Dvo \
Point of View ^HiI
l from an implementation standpoint, dV/ ^@[
l From the point of view of this application, V.\12P
l From this point of view, Zadeh suggested an inference rule named MgpjC`
xxx (CRI for short). mCb1^Y
l Information is the meaningful interpretation and correlation of #/"?.Z;SSH
some aggregation of data in order to allow one to make decisions. r2b_$
l From a practical point of view, the computational aspects of an gXy'@!
FLC require a simplification of the fuzzy control algorithm. ,M?K3lG\g[
l The use of a hammer to insert screws, although partly effective, p)&Yr
tends to distort, destroy, and generally defeat the purpose of using a a8w/#!^34
screw [Kusiak AI Implications for CIM p.129] 1\u{1
V
Justification Q
ZZt9rA;
l We choose the so called xx in our experiment because it has \bXusLI!l
received wide acceptance and can ,#V}qSKUS
l Prolog was chosen because it offers a well known and flexible ?GT,Y5
environment in which fuzzy reasoning may be easily implemented. zm~sq_=^
l The rationale behind this is that it can be much easier for an Fo.p}j+>
estimator to rate a cost as high than to attempt to place a dollar +"?O2PX
value on the estimate. K| w\KX0
l This strategy has been widely used in fuzzy control applications 3'jH,17lWV
since it is natural and easy to implement. =zsA@UM0
l A function definition expresses the membership function of a -]~KQvIH!
fuzzy set in a functional form, typically a bell-shaped function, etc. p|0ZP6!|
Such functions are used in FLC because they lead themselves to JqTR4[`Z\
manipulation through the use of fuzzy arithmetic. uXuA4o$t-
l It should be noted that in our daily life most of the information on sZh| <2
which our decisions are based is linguistic rather than numerical in /6@$^paB
nature. Seen in this perspective, fuzzy control rules provide a natural >c30kpG
g
framework for the characterization of human behavior and decisions ]!'}{[1}
analysis. EC8 Fapy
l Many experts have found that fuzzy control rules provide a =N^j:t
_t-e.2a
v
convenient way to express their domain knowledge. This explains WB|N)3-1
why most FLCs are based on the knowledge and experience which `gE_u
are expressed in the language of fuzzy "if-the" rule. FCIA8^}s
Chapter 4. Examples \J-}Dp\0b
Example/ Data Sau?Y
l The data used in the following example was taken from an q Oyo+hu
experiment in which xx was measured between x and x using a xx Xf6\{
technique. 8;<3Tyjzu
l The data consists of over xx measurements. Xf%wW[~
l An example of xx is discussed and the control rules of xx are
W8N__
compared with a xx (X/dP ~
l Examples of complex processes to which this technique may be tdOox87YK
applied are xx, xx, etc. &pFP=|Pq
l The following example is constructed only for the purpose of *T-v^ndJh
illustrating the computational procedure discussed. 9iM[3uyO
l This example clearly demonstrates that the profile of an individual |'!9mvt=
xx, or a very small group of xx, with no enough data to be studied {1L{
statistically, can be meaningfully analyzed by fuzzy possibilistic >p>B-m
methods. Q60'5Wt
l There is no space here to go into detail on all these methods, but ]EfM;'j[
deserve a mention and the bibliography will point to detailed Rc#c^F<
references for those wishing this level of detail. Psw<9[
l Note that the golf ball spotting example is used throughout the PNRZUZ4Z|
paper.
4Ixu%
Comparisons m/p:W/0L
l As well, the pros and cons of these representations from a process Rd,5&X$
planning point of view will be discussed. 2yPF'Q7u_.
l The method of using xx to implement xx described by Zadeh Z ItS(oJ.
(1973) appeared more suitable j%Wip j;c
l As discussed [in the previous section]/[preciously], m98w0D@Ee
~!#2s'
Relation _.+2sm
l We can not invert F' directly because it defines a many-to-one A k+MREG
mapping. q4
]Qvf>
l The relationships appear very complicate cjc1iciZ
l Lifting tasks involve complex and imprecise relationship between arb'.:[z^
the task variables and the human operator's characteristics. cb`ik)=K%
l These methods are based on the relationship between ... and ... Xr]<v%,C
l The fundamental concept of a fuzzy rating language is that we can E#(dri*#t
establish a relationship among terms such as high, medium, and low, * %w8bB
and then modify these relationships. ^wMZG'/
l This article will thus mention the latter as well as the former. B;r` 1
G
l The former two bear a close relation to a fuzzy Cartesian product.
[f#7~
Importance *9|*21
l The emphasis is on an implementation of a general approach to FGu#Pa
rule based decision making.
cOb,Md
Consideration / Attention >m4HCs>
l Careful evaluation is necessary to ensure YTV|]xpR
l Such a formulation does not change further considerations. aSQvtv)91
l Considerable attention has been paid to j[Oh>yG
l Attention should be paid to an important finding of this
y aLc~K
investigation. Z
lR2
l Caution should be exercised in this process to avoid ... C#:L.qK
l Primary consideration is given to ... components, though others mecm,xwm
can be accommodated xF7q9'/F
l After ... has been defined by ..., a carefully analysis is carried C~8;2/F7
out/performed to determine -"/l)1ox,
l A number of factors such as ...need to be taken into consideration }D*5PV%d
before making the appropriate decision. k?qd
-_sC
l It should be noted that ghDOz
3
l It is important to point out that ... V J]S"
l These considerations have heightened interest in the possibility of }o2e&.$4d
providing ... T56%3i
9s`j@B0N57
l We should stress the fundamental importance of the xx d>}R3T
Chapter 5. Results. K&UTs$_cI
Advantages / Disadvantage fSw6nEXn
l One of the major advantages of this new measure of xx is that it CINC1Ll_24
can be applied to the experimental study of >SaT?k1E
l One advantage of using a .. is the ease of preparing it.
Vc?=cQ'c
l The xx system is versatile 3FE=?Q
l It has a very fast decision making process prCr"y` M
l All the algorithms involve mostly logical operations. -/gAb<=
l It can be easily and without additional cost implemented in a ))eQZ3ap9
microprocessor-based environment. Nk@a g)
l It can reduce the waste of designing from scratch. uM74X^U
l The advantages of using a xx to represent xx are the following: }8)iFP&"
l However, xx is not without its shortcomings. *|^}=ioj*
l In most cases, the xxx shows an improvement over the existing RZ GD5`n
xxx. ;.#l[
l Compared to the existing xx, the impacts of the xx are generally oV=~Q#v
reduced by 5% to 9%. O YayTKxN
l The "best case" results shows a savings of 6% to 9%. pjrzoMF
l Most of the existing works based on xx approach can only Z!SFJ{
recognize a xx . jp viX#\S_
l Most of the above methods are computational expansive and T<S_C$O
limited to xx. " UxKG+
l Some other advantages of xx are the following: IPEJ7n49
l The problem is the limitation of this method to a limited domain of NI33lp$V
parts. ?0VETa ~m
l It proved limited in application because it demanded precision in :iVEm9pB)
system modeling that was impossible in practice. o%V%@q H
l There are advantages to be gained in the structuring of costs and yjB.-o('
benefits, the use of xx, 8 CN~o|uN
l The disadvantages of this method are also disadvantages of gaa;PX
conventional xx approaches. @-H D9h
XTPf~Te,=
l This combines the best features of both techniques #5/.n.X"
l Hopefully, this tool can be as the reference framework of for v dR6y
developing a xx platform, and helping the administration, marketing, >+E
and knowledge management activities in virtual communities. (J,^)!g7
Results A@qwD300Vo
l An improvement on the result shown above can be made by based 04wO9L;
on the data provided |*[#Iii'
l Discussion of these theories is beyond the scope of this review Ki{]5Rz
l Based on the information contained in this +4--Dl
?
l The result can be categorized into nine classes <$ oI
l The results are illustrated by an example }!n90
9L
l The experimental results for each xx time are reported in Table 2. QH.zsqf(
l From the results obtained so far, it seem that /+{]?y,
l Because of the inaccuracy of the ..., a conclusion cannot be drawn A:5B6Z
as Wp0L!X=0
l Although much effort has been made to., this reality is far from Sm(t
"#dp
completion. "- XJZ;5
l The results indicate that the total benefits are higher than the >y7|@'V[v0
total costs. EXD Qr'"
l Their results may then serve as guidelines for lower level models, }8,[B50
less fuzzy and more detailed. ZuIw4u(9
Chapter 6. Conclusion @+ee0
CLT
l From the discussion, one may conclude that ... X!/o7<
l Form the above discussion, the conclusion can be reached that k5ZkD+0Jo
l The conclusions drawn are also valid uxsfQ%3`#
l In conclusion to this, it becomes obvious that the problem of xx :*0l*j
lies not only in... 7B|
#*IZe
l We have attempted to introduce some concepts associated with a XBF]|}%
theory of ~:M"JNcs
xx based on fuzzy sets. ZN]LJ4|xu
l Considerable more work, hopefully, will be done in this area ?.%'[n>P
l A fuzzy set procedure is proposed to solve xx selection problems 1y)|m63&
!W3bHy:C"
interwoven with imprecise data 4;{CR. D
l Employing the compositional rule of inference, the assessment of sg\jC#
the xx compatibility in achieving prescribed xx projectiles in any L]")TQ
level of the hierarchy is made possible. aX:$Q
}S
l This paper has presented a theoretical and experimental study of P .( X]+
the xx process and xx concept. ^Tmmx_Xw
l The experimental research results will hopefully serve as useful syvi/6
feedback information for improvements for xx work. Pw.+DA
l The scope of this contribution was to introduce a xx method.
xoaQ5u
l In general, fuzzy sets theory provides an alternative foundation
KguFU
for xx analysis in a fuzzy environment. Mq$=zsj
Future Research >?<d}9X
l Thus, first extension of the approach could be, ]uf_"D
l Present some cues for a further approach from Fuzzy Sets Theory u1<kdTxA
N
application to K)OlCpHc
l Some improvements to the scheduling aspect of the model may =h{2!Ah7
X
be brought through additional levels in the hierarchy for more 5H2|:GzUc
detailed representation of the scheduling activity. V"73^
Tables and Figures yD"sYT
l Figure 7-1 sketches these relationships. f^ qQ5N
l The graphical representation of these functions is shown in Figure yZRzIb_
1. K;(mC<
l The xx may be depicted as in Figure 1. n ;Ei\\p!
l Figure x shows the schematic diagram of the 74u&%Rj
l Figure 1 though 2 provide a ... that yuVs
YV@"
l the architecture of this expert system for .... is illustrated in Figure U(Zq= M
2. phK/
l Figure 2 gives the outline of an ... system ebq4g387X
l Table shows the ),)lzN%!
l as shown in Table 1 and 2 7
&\yj9
l This concept is illustrated in Figure 2 dveiQ
l At the top of Table xx are shown two blocks of data. =-T]3!
yX5\gO6G
l Each table or matrix has constructs xx through xx as L-Lvp%%
row-headings, E
@\e$?*X
xx through xx as column-headings. GB^B r6
l A table of .. is developed and significant recommendations are fOHxtHM
made. jylD6
IT
CONJUGATION RNL9>
7xV
To Indicate Addition #z(]xI)"
l additionally, again, also, and then, as can be easily understood, +mPx8P&%
besides, equally important, especially, finally, for the same reason, &[9709 (=
first, further, furthermore, in addition, last, likewise, moreover, next, hb-%_c"kq
second, third, too, evidently, obviously, roughly speaking, broadly So6x"1B
speaking "~nZ GiK
To Indicate Cause and Effect *Ly6`HZ9
l accordingly, as a result, consequently, for this reason, hence, in "7
yD0T)2
short, otherwise, then, therefore, thus, truly TvM~y\s
To indicate Comparison [Pp'Ye~K@c
l in a like manner, likewise, similarly , alternatively
y7{?Ip4[
To Indicate Concession "M
s
IjSu
l after all, although this may be true, at the same time, even though, <q836]aaA
even so , I admit, naturally, of course bD^owa
To Indicate Contrast RCrCs
l and yet, at the same time, but, for all that, however, yet, in fact, in !Cs_F&l"j
contrast, in the real life, in spite of, nevertheless, notwithstanding, Sdo-nt
normally, on the contrary, on the other hand, still, traditionally, hPh-+Hb
rather, unfortunately, nTas~~Q
To Indicate Time Relationships: n<
,BmVQ
after a short time, afterwards, as indicated earlier, as long as, as soon 0K+ne0I
]5O~+Nf
as, at last, at length, at the moment, at that time, at the same time, 0b>h$OU/
before, earlier, currently, immediately, in the meantime, in recent -=="<0c
years, lately, later, meanwhile, often, of late, presently, recently, h
8P)%p
soon, shortly, since, thereupon, temporarily, therefore, until, when, >z03{=sAN
while 9x8fhAy}4
To Indicate Special Features or Examples: a#4?cEy
for example, for instance, incidentally, indeed, in fact, in other words, _#niyW+?~
in particular, in practice, specifically, that is, to illustrate, in this eRYK3W
respect, theoretically, as mentioned before / above _-D{-Bu#
To Indicate Summary: d$RIS+V
in brief, in conclusion, in short, in summary, on the whole, to i. "v4D
conclude zda 3
,U2o
, in general, to summarize, to sum up, as a result, ultimately, S!UaH>Rh
VERB PHASE M7T5
~/4
l build a .. model 8Wx=p#_
l build up the key link d~
H`CrQE*
l began a new era in ... *g%
yRU{N
l can be regarded as / achieved / used to/for / found / obtained tYS06P
^<
through l;Wj]
l can result in ~ a:
l carries out ... tasks }j%5t ~Qa
l production information in order to simultaneously gJXaPJA{
l contains all information necessary to describe e=
AKD#
l do not make use of production information +whDU2 "
l deals with py4 h(04u
l end with failure $mI Loy
B,
l fetch the information from the model directly a9gLg
&
l has great potential / yet to be resolved / spurred the ^sw?gH*
development of / aOp\
91
been recognized as icg
fB-1|i
l BE aimed at / built up / carried out by / essentially concerned t_^4`dW`
~}P,.QQ
with / considered to be the key technology / associated with each 5O%{{J
feature of a compo KoT\pY^7\
site component / cable of / currently implemented for / ^W^OfY
demonstrated by an example / finally reached / made equal to / s<Ziegmw|g
equivalent to / more suitable to / oriented to / interpreted as / LoV<:|GTI
pointed out / potentially of great benefit in the complex task of / K0~rN.C!0
shown in / used to effectively guide the search OXA7w.^
l makes use of 6m93puY`7
l make up ]kSG R
l meets the needs of real life production,/ the current demands ]gOy(\B
placed upon it )5,v!X)
l must be justified IxU/?Zm
l point out 4s-!7
l play an important role 9*gZ-#
l relates to C+$#y2"z#n
l rely on Ml_^
`vn
l satisfy the needs [,Gg^*umS
l determine the total requirements for the ... [y(MCf19
l uses ... as a key to search for... ^qs $v06
l without relying on _6Sp QW
l will be available/ performed/ overlooked oJ^P(] dw
NOUN PHASE @d'j zs
l a basic technical function of Q
,g\
l a critical need ytImB`'\
l a key / principle feature of aE8VZ8tvq
l a substantial impact on { 6il`>=C
l an intensive review was conducted {7[Ox<Ho
l an increasing need for expanding the application of .... O.? JmE
l an important component / function / aspect / issue _BufO7`.
l each rule is numbered in sequence )~>YH*g
l each of these involves x}4q {P5$
l for this calculation, it is necessary to define hN_]6,<\
l in the physical environment / integration of e\rp)[>'
M\j.8jG
l in the reality of situations where … c<~H(k'+c
l many aspects of zLQx%Yg!
l most past efforts have been spent on ... w0.
u\
l common sense to a well studied and documented technical field. WJi]t9 3
l sources of additional information on ... are listed UKGPtKE<
l systematic and rationally structured format h[ ZN+M
l the basis on which a range of ...operations can be established is jXJyc'm7
shown G@0&
8
l THE basic philosophy / principles of / key element / general BT$_@%ea&
hypothesis / candidate list of / concept of ... has attracted wide qq?!LEZ
interest / function is concerned with / heart / impact / nature / role 637:
oT_`O
/ task of / kernel functions }V>T M{
l the number of parts needed to /Oono6j
l the above statement means that ]~-r}`]
l the output data is passed to !-bB559Nv
l the proposed method / underlying principle %<5'=t'|-U
l the recommendations made in this report, if implemented, should [
~,AfY
l this information resides in f1? >h\F8
l this process is composed of ... different ... operation Bvj0^fSm
l along with the use of }]TxlSp!;
l concerning general aspects of Gb
yJ:
l due to :Tc^y
%b0
l for later use in generating..., $]1=\I
l in turn, $>gFf}#C
l IT IS believed / noted / assumed / suggested / shown / quite oU|c.mYe
evident / appears / implies that / intended for / of no important to B!yr!DWv
l it can be claimed/concluded that ^8tEach
l it demonstrates the decisions required of )"LJ
hLg
l it also provides information to .. NI5``BwpO
l it becomes essential to
+p^u^a
l let ... be the probability that $M#>9QHhc
l once... is written, it is compiled into... 5f /`Q
l suppose it is observed that l0]
EX>"E
l this is because DlT{`
BY*Q_Et
l this results in a \jA~9
l upon completion of the ... analysis, !BI;C(,RL
l when the knowledge is of mathematics or quantum physics, it will yVc(`,tZ(
also be _ m>b2I?
recorded in books and papers K^$=dLp
l selection of rules for using the tools, for generating operation
HDKbF/
plans, ddo#P%sH'
is another matter of preference, since practice varies greatly. OZT.=^:A
l for the sake of convenience >+waX"e
l correct decision to be reach
_6Ha
l keeping the number of rules to a minimum. =EIkD9u
l a good process plan will result exhibiting several characteristics: 9cgUT@a
l practical solutions C>~TI,5a3
l because of rather small job lot sizes xpI wrJO
l Backward reasoning can be used to answer the question "should {T8Kk)L
milling tool be select" different level of knowledge in the realm of eq" ]%s
process planning