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Beginning QWtDZ>
1. In this paper, we focus on the need for m=SI *V
2. This paper proceeds as follow. 7VL|\^Y `q
3. The structure of the paper is as follows. m.<u!MI
4. In this paper, we shall first briefly introduce fuzzy sets and related ?'_6M4UKa
concepts _W^;a
5. To begin with we will provide a brief background on the _*MK"
Introduction Np aS2q-d
1. This will be followed by a description of the fuzzy nature of the DTSf[zP/
problem and a detailed presentation of how the required " m13HS
membership functions are defined. is~2{:
2. Details on xx and xx are discussed in later sections. &}
{ #g
3. In the next section, after a statement of the basic problem, various kw
E2V+2
situations involving possibility knowledge are investigated: first, an 5n{d jP
entirely possibility model is proposed; then the cases of a fuzzy uxB`
service time with stochastic arrivals and non-fuzzy service rule is *UJ4\
studied; lastly, fuzzy service rule are considered. ]!&$&t8.
Review |<5F08]v
1. This review is followed by an introduction. 0Qq<h;8xEc
2. A brief summary of some of the relevant concepts in xxx and xxx is ]Yw$A
presented in Section 2. &*%x]fQ@
3. In the next section, a brief review of the .... is given. 8|)^m[c&
4. In the next section, a short review of ... is given with special regard O9p s?{g
to ... P^Owgr=Y
5. Section 2 reviews relevant research related to xx. m|F1_Gg
z
6. Section 1.1 briefly surveys the motivation for a methodology of =$fz</S=J
action, while 1.2 looks at the difficulties posed by the complexity of kS8?N`2}LV
systems and outlines the need for development of possibility ir/uHN@
methods. mfN'+`r
Body
S#?2E8
1. Section 1 defines the notion of robustness, and argues for its q\]X1N
f?51sr
importance. w2'q9pB+
2. Section 1 devoted to the basic aspects of the FLC decision-making )Wr_*>xj
logic. tP7<WGHd/
3. Section 2 gives the background of the problem which includes xxx o3/o2[s
4. Section 2 discusses some problems with and approaches to, kuD$]A
Q`&
natural language understanding. V<W;[#"
5. Section 2 explains how flexibility which often ... can be expressed XhHgXVVGG<
in terms of fuzzy time-window nOvR, 6
6. Section 3 discusses the aspects of fuzzy set theory that are used in rR-[CT
the ... [
gM n
7. Section 3 describes the system itself in a general way, including {zvaZY|K"
the ….. and also discusses how to evaluate system performance. \&hq$
8. Section 3 describes a new measure of xx. 5@m
,*n&[
9. Section 3 demonstrates the use of fuzzy possibility theory in the G?'^"ae"Z
analysis of xx. ,3Q~X$f
10. Section 3 is a fine description of fuzzy formulation of human `\62 iUN
decision. u,So+%
11. Section 3 is developed to the modeling and processing of fuzzy RI&O@?+U
decision rules L
AasmQ
12. The main idea of the FLC is described in Section 3 while Section 4 E6TeZ%g
describes the xx strategies. EGUlLqP6e
13. Section 3 and 4 show experimental studies for verifying the ,%*UF6B
M
proposed model.
1fS&KO{a
14. Section 4 discusses a previous fuzzy set-based approach to cost 0N$7(.
variance investigation. hhy+bA}
15. Section 4 gives a specific example of xxx. l5{60$g
16. Section 4 is the experimental study to make a fuzzy model of w~b:9_reY
memory process. OX]$Xdb2:
17. Section 4 contains a discussion of the implication of the results of QPDh!A3T
Section 2 and 3. ?n`m
18. Section 4 applies this fuzzy measure to the analysis of xx and **hQb$
illustrate its use on experimental data. g8##Be
19. Section 5 presents the primary results of the paper: a fuzzy set u]IbTJ'
model .. `s
CwgY+
"#r)NYq`"|
20. Section 5 contains some conclusions plus some ideas for further >9&31wA_
work. (4+P7Z,Nc
21. Section 6 illustrates the model with an example. ,IjZQ53q~
22. Various ways of justification and the reasons for their choice are Qu61$!
discussed very briefly in Section 2. ;t{q]"? W
23. In Section 2 are presented the block diagram expression of a {|?^@
whole model Food<(!.>
of human DM system `pfIgryns
24. In Section 2 we shall list a collection of basic assumptions which 4b2d
(x)0X
a ... scheme must satisfy. c
C3>Ff'
25. In Section 2 of this paper, we present representation and k7CKl;Fck
uniqueness theorems for the fundamental measurement of fuzziness t WI-
when the domain of discourse is order-dense. ?R)]D:`
26. In Section 3, we describe the preliminary results of an empirical _?
gCOr
study ~lw9sm*2v2
currently in progress to verify the measurement model and to L.HeBeO
construct membership functions. Y %"Ji[
27. In Section 5 is analyzed the inference process through the two DzAZv/h76
kinds of inference experiments... Nc:s+ o
This Section ``-N2U5
1. In this section, the characteristics and environment under which M13HD/~O
MRP is designed are described. 3kn-tM
2. We will provide in this section basic terminologies and notations 6X \g7bg
which are necessary for the understanding of subsequent results. }| DspO
Next Section W7S~~
2. The next section describes the mathematics that goes into the oW3"J6,S
computer implementation of such fuzzy logic statements. $h#sb4ek
3. However, it is cumbersome for this purpose and in practical AFrJzh:V[
applications the formulae were rearranged and simplified as 1R2IlUlzFr
discussed in the next section. \2\{c1df
4. The three components will be described in the next two section, jf9+H!?^N
and an example of xx analysis of a computer information system will !jj`Ht)
jeC=s~
then illustrate their use. r_T)|||v
5. We can interpret the results of Experiments I and II as in the 6Tl6A>%s
following sections. FdU]!GO-X
6. The next section summarizes the method in a from that is useful s4|\cY`b-
for arguments based on xx fkV@3sj
Summary At Wv9
1. This paper concludes with a discussion of future research P'W} ]mCD
consideration in section 5. {EgSjxfmw
2. Section 5 summarizes the results of this investigation. l1 +l@r\
3. Section 5 gives the conclusions and future directions of research. ;ArwEzo(
4. Section 7 provides a summary and a discussion of some extensions :#rP$LSYC
of the paper. '/d51
5. Finally, conclusions and future work are summarized ,B <\a
6. The basic questions posed above are then discussed and S$mv(C
conclusions are drawn. `^M
]|7
7. Section 7 is the conclusion of the paper. hkMeUxS
Chapter 0. Abstract zoq;3a5cqB
1. A basic problem in the design of xx is presented by the choice of a Bkcwl
xx rate for the measurement of experimental variables. xGd60"w2
2. This paper examines a new measure of xx in xx based on fuzzy w~3X
m{
mathematics which overcomes the difficulties found in other xx O. * 0;5
measures. v rs
3. This paper describes a system for the analysis of the xx. YI0
wr1N
4. The method involves the construction of xx from fuzzy relations. bC{4a_B
5. The procedure is useful in analyzing how groups reach a decision. I Xc `Ec
6. The technique used is to employ a newly developed and versatile (NJ{>@&
xx algorithm. )%(ZFn}
7. The usefulness of xx is also considered. _"8n&=+
8. A brief methodology used in xx is discussed. &#p1ogf:
9. The analysis is useful in xx and xx problem. rOJ>lPs
10. A model is developed for a xx analysis using fuzzy matrices. EC+t-:a]
11. Algorithms to combine these estimates and produce a xx are E7uIur=g!
9b.
kso9.
presented and justified. M.}9)ho
12. The use of the method is discussed and an example is given. oo'9ZE/%
13. Results of an experimental applications of this xx analysis -#\ T
procedure are given to illustrate the proposed technique. /}:{(Go
14. This paper analyses problems in h&"9v~
15. This paper outlines the functions carried out by ...
[gW eD
16. This paper includes an illustration of the ... }">r0v!3
17. This paper provides an overview and information useful for Ev fvU:z
approaching *C*J1JYp+
18. Emphasis is placed on the construction of a criterion function by UP](1lAf
which the xx in achieving a hierarchical system of objectives are Mh%{cLM
evaluated. %i9S"
19. The main emphasis is placed on the problem of xx /~LE1^1&U
20. Our proposed model is verified through experimental study.
*yZ6"
21. The experimental results reveal interesting examples of fuzzy 4D65VgVDM
phases of: xx, xx @?B+|*cm
22. The compatibility of a project in terms of cost, and xx are likewise ne#dEUD
represented by linguistic variables. |MNSIb&,W
23. A didactic example is included to illustrate the computational VDxm|7
procedure E\iK_'#
Chapter 1. Introduction Ym'h
vK
Time %. 1/#{
1. Over the course of the past 30 years, .. has emerged form intuitive oW~W(h!
2. Technological revolutions have recently hit the industrial world K V5
'-Sv1
3. The advent of ... systems for has had a significant impact on the !vz'zy)7
4. The development of ... is explored
)fJ"H
q
5. During the past decade, the theory of fuzzy sets has developed in a y|LHnNQ
variety of directions *Y> w0k
6.The concept of xx was investigated quite intensively in recent years =~:IiK/#
7. There has been a turning point in ... methodology in accordance kpgvAKyx
with the advent of ... Nd0tR3gi7
8. A major concern in ... today is to continue to improve... &bTCTDZh
9. A xx is a latecomer in the part representation arena. 4\z@Evm
V60L\?a
10. At the time of this writing, there is still no standard way of xx {!Qu(%
11. Although a lot of effort is being spent on improving these 93*csO?Db
weaknesses, the efficient and effective method has yet to be )^:H{1'
developed. ::Zo` vP
12. The pioneer work can be traced to xx [1965]. ^Iw$(
13. To date, none of the methods developed is perfect and all are far #*h\U]=VS
from ready to be used in commercial systems. 9evr!=":
Objective / Goal / Purpose eB0exPz%
1. The purpose of the inference engine can be outlined as follows: qzW3MlD
2. The ultimate goal of the xx system is to allow the non-experts to ,z&S;f.f
utilize the existing knowledge in the area of manual handling of loads, 1Vpti4OmU
and to provide intelligent, computer-aided instruction for xxx. ZvRa"j
3. The paper concerns the development of a xx 0? {ADQz
4. The scope of this research lies in b
3x|Dq .
5. The main theme of the paper is the application of rule-based F`g(vD>
decision making. +M"j#H
6. These objectives are to be met with such thoroughness and R"W}\0k
confidence as to permit ... &=lc]sk
7. The objectives of the ... operations study are as follows: H<d~AurX)J
8. The primary purpose/consideration/objective of O`Tz^Q/D
9. The ultimate goal of this concept is to provide Vk{;g
10. The main objective of such a ... system is to &g|[/~dIr
11. The aim of this paper is to provide methods to construct such =RB
{.%
probability distribution. kqBZsfF
12. In order to achieve these objectives, an xx must meet the }n^Rcz6HeO
following requirements: C]!2
13. In order to take advantage of their similarity X%yG{\6:
14. more research is still required before final goal of ... can be }$_@yt<{W@
completed NW1 Jr/
15. In this trial, the objective is to generate... GK$[ !{w;
16. for the sake of concentrating on ... research issues |nNcV~%~
17. A major goal of this report is to extend the utilization of a recently 7ws<' d7/
developed procedure for the xx. = wz}yfdrC
!1l~UB_
18. For an illustrative purpose, four well-known OR problems are `*s:[k5k
studied in presence of fuzzy data: xx. L-|l$Ti"
19. A major thrust of the paper is to discuss approaches and B0Df7jr%`>
strategies for structuring ..methods r
qjq}L )
20. This illustration points out the need to specify X.b8qbnq[
21. The ultimate goal is both descriptive and prescriptive. nQc,^A
)I
22. Chapter 2. Literature Review bv4umL /
23. A wealth of information is to be found in the statistics literature, L;3%8F\-.
for example, regarding xx 6ld4'oM
24. A considerable amount of research has been done .. during the |^Iox0A
last decade w~@"r#-
25. A great number of studies report on the treatment of D
/QLp3+o
uncertainties associated with xx. 6=f)3!=
26. There is considerable amount of literature on planning Ksx-Y"
27. However, these studies do not provide much attention to k!Yc_ZB:*l
uncertainty in xx. QXb2jWz
28. Since then, the subject has been extensively explored and it is S)U
*1t7[
still under investigation as well in methodological aspects as in :qE.(k1@5
concrete applications.
y-hTTd"{
29. Many research studies have been carried out on this topic. I0
mp [6
30. Problem of xx draws recently more and more attention of system it}h8:^<
analysis. GlJ[rD
31. Attempts to resolve this dilemma have resulted in the -_ 9k+AV
development of BdD]HXB|_
32. Many complex processes unfortunately, do not yield to this TnQ>v{Rx
design procedure and have, therefore, not yet been automated. 9Jwd *gevV
33. Most of the methods developed so far are deterministic and /or ~9]vd|
probabilistic in nature. "}3sL#|z
34. The central issue in all these studies is to /5sn*,
35. The problem of xx has been studied by other investigators, :A8r{`R'N
however, these studies have been based upon classical statistical 'pt
(
approaches. )+L|<6J XA
36. Applied ... techniques to 54p{J
37. Characterized the ... system as ejd_ 85$
q|ce7HnK
38. Developed an algorithm to ! t!4CY
39. Developed a system called ... which neU=1socJ
40. Uses an iterative algorithm to deduce ^t3>Z|DiB^
41. Emphasized the need to uqcG3Pi
42. Identifies six key issues surrounding high technology fnX[R2KZ
43. A comprehensive study of the... has been undertaken !/,oQoG
44. Much work has been reported recently in these filed ~Z5AIm R|
45. Proposed/Presented/State that/Described/Illustrated/ |pHlBzHj
Indicated/Has shown / showed/Address/Highlights -1dD~S$
46. Point out that the problem of Zv}F?4T~:
47. A study on ...was done / developed by [] N7s0Ua'-v
48. Previous work, such as [] and [], deal only with f:M^q ;
49. The approach taken by [] is wnC-~&+6
50. The system developed by [] consists /rpr_Xw}
51. A paper relevant to this research was published by [] =bh: U90y
52. []'s model requires consideration of... lZAGoR;0Ra
53. []' model draws attention to evolution in human development 3u
j|jwL
54. []'s model focuses on... >\K=)/W2
55. Little research has been conducted in applying ... to lq.:/_m0
56. The published information that is relevant to this research... -o~zb-E
57. This study further shows that fYuSfB+<
58. Their work is based on the principle of {*;8`+R&
59. More history of ... can be found in xx et al. [1979]. gE #|eiu
60. Studies have been completed to established Hx6ODj[-
61. The ...studies indicated that }-:B`:K&
62. Though application of xx in the filed of xx has proliferated in cS Lj\'`b
recent years, effort in analyzing xx, especially xx, is lacking. (ORbhjl
Problem / Issue / Question zx<t{e7
63. Unfortunately, real-world engineering problems such as 8{0XqE~ix=
manufacturing planning do not fit well with this narrowly defined D,=~7/g
model. They tend to span broad activities and require consideration "yH?df24
of multiple aspects. {3KY:%6qj
64. Remedy / solve / alleviate these problems Y
22Ai
67. ... is a difficult problem, yet to be adequately resolved 3]1 !g6
ue3 ].:
68. Two major problems have yet to be addressed A)~oD_ooQ
69. An unanswered question e,#w*|
70. This problem in essence involves using x to obtain a solution. _t,aPowX
71. An additional research issue to be tackled is .... }s?3
72. Some important issues in developing a ... system are discussed d(}?
\|
73. The three prime issues can be summarized: [BdRx`
74. The situation leads to the problem of how to determine the ... PO5,lcBD<
75. There have been many attempts to M5RN Z%
76. It is expected to be serious barrier to /*gs]
77. It offers a simple solution in a limited domain for a complex hTO5*5]0zP
problem. t0cS.hi
1. There are several ways to get around this problem. "E7<S5cr
2. As difficult as it seems to be, xx is by no means new. B{0]v-w
3. The problem is to recognize xx from a design representation. (soTkH:#
4. A xx problem can trace its roots to xx. _=x*yDPG}
5. xx [1987] used a heuristic approach to simplify the complexity of w8S
pt
the problem. N/lEfy<&g:
6. Several problems are associated with them. P;(@"gD8z5
7. Although some progress has been made in this area, at least two 5fs,UH
major obstacles must be overcome before a fully automated system :?EZ\WM7
can be realized. {pi_yr
3
8. Most problems in practice are complicated e`a4Gr
9. More problem surface here. [x?9<#T
10. Hamper effort toward a xx system RJ3uu NK7
11. In order to overcome the limitations due to incomplete and )Dms9:
imprecise xx knowledge, a xx program has been developed, which $#%R_G]
bases its knowledge upon the statistical analysis of a sample x]Nx,tt
population of xx o
S{hv:)>
12. The above difficulties are real challenges faced by researchers 5KbPpKpd
attempting to develop $EIKi'!8
13. This type of mapping raises no controversy to the issue of A'}!'1
membership function determination. 3P75:
v
14. However, attempts to quantify the xx have met both theoretical 0 GFho$f
and empirical problems. ~U7Bo(EJp
TqS s*as5
15. It has become apparent that in order to apply this new -1$z=,q'
methodological framework to real-world problems and data, we have ]ZR`
6|"VO
to pay attention to the problems of xx and xx. B(FM~TVZ
Chapter 3. Proposed methodology a`9pHH:7Q
Assumption i,;a( Sy4
1. In the case when the assumption of a xx seems to be too T6?03cSE
restrictive or inadequate, the formulation with Fuzzy termination Uv?^qe0=
time, i.e. given by a fuzzy set in the space of control stages, may be ]p4?nT@]
applied. Q|VBH5}1O
2. We assume here the fuzzy constraints to be state-dependent, and &&jQ4@m}j
the fuzzy goal to be the same for all the control states, xx, which 1Xh@x
stems from the problem's nature. t0xE
3. An approach to the solution of this problem is presented under the "`S?q G
assumption that the sampling rate Decision can be made prior to the eC 2~&:$L
execution of the experiment, as opposed to being made while the ze
LIOw
experiment is in progress. `CL\
-
4. Another assumption made above is that there are precise odds at 247vU1
which the expert is indifferent. _h,X3P
5. Main simplifying assumptions are: <%|u1cn~!v
6. This, in our view, is a questionable assumption. a3:45[SO4e
Outline / Structure / Module 5&A' +]
1. An outline of the research #;1RStb:zj
2. Information is incorporated within the scheme &{# 6Z
3. Is built into ... structure iB~dO @
4. A nice modular structure. Z,-TMtM7
5. The principles of ... are applied as modularized criteria Hit)mwfYE
Classification QiqRx
1. A xx system comprises three main components: wvxqgXnB\
2. Must decompose the original .. into a set of .. =_6 Q26
3. Consists of the following steps: 3qV~C{S
4. This is summarized in the following steps: F7=\*U
VY|UB7,C
5. Can be broadly classified into the following areas: :
.{d,)G
6. Can be characterized by its function of effectively processing the VsL*&Fk
7. Can allow further breadth of application of ...into more a>y e
8. The following steps should be followed HFYe@ 2r
9. xx can be classified by a different ways. KZ=5"a
10. Based on the xx, one may classify xx into the following: !af;5F
11. This catalog may change due to wear, breakage, and purchasing. ,>kXn1 ,
System OzxiT +
1. Unlike many conventional program, expert systems do not A-^B?E
usually deal with problem for which there is clearly a right or wrong b+d
mJ]c
answer. A~s6~
2. The system consists of both ... and ... wSALK)T1{
3. The system has a hierarchical modular architecture organized on 'I[xZu/8yg
three levels. >;s2V_d
4. expert system domains are area of expertise 2@&"*1(Xu
5. To develop a xx system for xx, the following factors must be UU#$Kt*frR
considered: %yR80mn8
6. The system has been developed / designed to determine
ILHn~d IC
7. The system has proven to be able to 5["n] i
8. The domain in which an expert system operates is a particular COH.`Tv{*
domain SS;'g4h\6
9. The system comprises a ... with L'"od;(6R
10. The system is [feature-oriented ] / based on the ... technique
y}W*P#BDO
11. The system environment must be relatively stable ;~}!P7z
12. The system is utilized to generate, load, store, update and tK\
$LZ
retrieve ... \qJ^
n %
13. The development of a xx system has two stages: xx stage and xx |A H@W#7j
stage. PJh97%7
14. The most essential part of .. system is the ... .4=A:9
15. The successful developments in ESs have made them an (Q|Y*yI
important tool in the development of z+?48}
16. An automated system was developed for 52*KRq
o
17. In this case, the system can be considered to be generative. I=8MLv
t\ 9Y)d
18. An interactive automatic ... system O(T6Y80pU
19. A …. is commonly thought of as a truly integrated .. system ve*6WDK,H
20. Should be capable of being generated from a ... system >>>MTV f
21. xx is an important part of the integrated system. ?zK>[L
22. The model consists of four rule bases, each of which addresses a Z
Mf,3
separate problem in the hierarchy of scheduling decision. N)YoWA>#bF
23. The rule bases are linked to each other in a chin-like manner in xQzXl
the sense that the consequent of one rule base constitutes a part of pf_`{2.\uO
the antecedent of the next rule base. 42
rIIJ1A
24. The rule base consists of all possible combinations of the `6G:<wX
linguistic terms associated with the linguistic variable of the jTok1k
antecedent of a rule. WQY\R!+
Computer System /.m}y$@GV
1. The system has been implemented using Prolog language in an 8j@ADfZ9
MS-DOS environment. Prolog was chosen because it offers a well V8z*mnD
known and flexible environment in which fuzzy reasoning may be ^}hSsE
easily implemented. &. "ltB
2. The current version of the xx program when compiled with d|$-Sz
WATFOR77 results in an executable code of about 270K bytes. Hd~fSXFl
Typical run time, when run on a XX computer (an IBM compatible A@I3:V
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min
`AEL
e_
to 2h, depending on the size (or complexity) of the problem. h,2?+}Fn
3. Time consuming procedures have been implemented in g);.".@"
C-language and directly linked to the Prolog environment. [N*`3UZk"
4. The xx process, once the xx's data has been entered, requires 7Y*Q)DDy
approximately 180 seconds. !Y]%U @4}
5. It should be noted that the computation was done with a 20 Hhz, unkA%x{W;
80386..209;based microcomputer equipped with a 80387 math \1#!%I=.
co-processor. J y0TV jA
6. The computer programs used for the analyses, one based on the xx {Gr"oO`&"
method and the other based on the new method, were written in _zFJ]7Ym.)
FORTRAN with a compiler that supports the math co-processor. >qynd'eToR
7. Lisp, Prolog give maximum flexibility but also maximizes ~DK=&hCd!
Bd*\|M
development time. ZY> u4v.
l Internal representation is the way a model is represented in the /)xQ# yfX
computer. Z`bo1,6>
l An interactive menu-driven procedure is used in this study }{
"RgT-qG
l Shell can be develop very fast at the cost of time fairly severe fuA8jx
limitations. kpO+
l While there is no measurable saving of time for the case involving #Xd#Ncj
five criteria, the saving is dramatic for the case involving 10 criteria |0aGX]Y
-- the computation time reduces from 10 hr 40 min to about 1 min. 5%(xZ
6
l This combination is being implemented in an objected-oriented i]n ?zWo_h
programming environment (Smalltalk-80 system) to solve problems aOo;~u2-=
encountered in construction xxx. Q##L|*Qy
Method / Approach / Study / Process Model / Equation /Algorithm / 7!E7XP6,~>
Rule / Formula / Technique v@E/?\k"
l A discussion is presented of a problem-solving system s$;IR
c5!6
l To improve the efficiency of the method, the following approach h2Jdcr#@FF
may be applied. I~I$/j]e`
l In order to an investigation was made to find the causes of the HA%r:Px
l Although large collections of rules and equations have been
al:c2o
complied, none are generally accepted J*CfG;Y:
l This approach will be explained and discussed thoroughly in the ^5![tTJ
body of the report. k34!*(`q
l This can be accomplished by 2wG4"
l This algorithm to compute the total cost can be described step by * E3
c--
step as follows: z@S39Xp==
l The above preliminary analysis has provided important Z
]WA-Q6n
information #T8$NZA
l Various methods have been proposed for selecting an optimum... tpi>$:e
l These concepts have been applied to x2gP, p-
l On the basis of the concept mentioned above, )z#M_[zC>
l This can be achieved by c;e2=
A
l This fact suggests that a new concept f~D>
*<L4-
l This was accomplished by taking ... ]xIfgSq
p@7[w@B\c
l The preparatory stage is very time consuming process. ihJC)m`Hbl
l Test are performed for validity, completeness, and compatibility #dgWXO
l There is little hope of achieving successful ... K9y!ZoB
l There has been an increasing awareness of the potential of using -cHX3UAEI
most ..so far made have not taken this approach, with the exception sR. ecs+
of 5Y&s+|
l Only a few studies can be found. _8'F I_E3
l It is a very tedious process to go through +$+'|w
l It is only when .. has been completed that .. may be effected \ns#l@B
l The entire interpretation process is conducted in one's head. ?DC3BA\)
l These approaches are sometimes very tedious. ^Q?I8,4}
l Several techniques can be used 5)yQrS !{:
l A polynomial parametric model can be written as [the <Zc:
following]/[follows]: $W8
l A xx model is constructed/formulated using xx. 1&
k_&o
l A xx model represents an xx by its xx.
F%6`D
l A process decision model captures the logic essential to pA
V}hB
l From the equation above, xx is equal to the summation of xx mdOF0b%-]
times the ... eD, 7gC-
l The validity of a xx model can be checked using Euler's formula. `C`_2y8
l Given a model, one can mathematically determine whether ... or ... 3
SQ_9{
l Equations for xx need to be derived and implemented in the e3wFi,/@
system. gTR:9E:B
l A number of heuristic rules have been developed for Wv"[,5
Z13
l Optimum .. techniques can be made more reliable by ... so that i)0*J?l=
l An algorithm based on the characteristic ... is used to determine ~`M GXd"o
l Euler's formula states the following: 48n>[
FMSR
l The completed model should agree with the formula. KW.S)+<H&
l For manufacturing purposes, a detailed and precise model of the '8>#`Yba
object is necessary sf?D4UdIH
l Engineering design models are very well defined; therefore, {
Lt\4h
l To keep the domain narrow enough to be implementable, yet wide AdB5D_ Ir
enough to 6yF4%Sz9
be useful. /
GJ"##<
9h$-:y3
Point of View q01zN:|-1
l from an implementation standpoint, HF5aU
:M
l From the point of view of this application, }qW%=;!
l From this point of view, Zadeh suggested an inference rule named ~?6V-m{>#
xxx (CRI for short). 0pu])[P]_[
l Information is the meaningful interpretation and correlation of U;6~]0^K
some aggregation of data in order to allow one to make decisions. .dp~%!"Sn,
l From a practical point of view, the computational aspects of an G_[|N>
FLC require a simplification of the fuzzy control algorithm. 89@89-_mC
l The use of a hammer to insert screws, although partly effective, J
C1T033 r
tends to distort, destroy, and generally defeat the purpose of using a Tc\^=e^N?
screw [Kusiak AI Implications for CIM p.129] u3 ?+Hu|*T
Justification Z[AJat@H
l We choose the so called xx in our experiment because it has ^$_ifkkLz
received wide acceptance and can akBR"y:~:H
l Prolog was chosen because it offers a well known and flexible j>?H^fB
environment in which fuzzy reasoning may be easily implemented. 0c7&J?"wE
l The rationale behind this is that it can be much easier for an 0wZLkU_(
estimator to rate a cost as high than to attempt to place a dollar yi# Nrc5B
value on the estimate. ',6QL4qV/
l This strategy has been widely used in fuzzy control applications R.|fc5_"+
since it is natural and easy to implement. cdP+X'Y4D
l A function definition expresses the membership function of a Y: KB"H
fuzzy set in a functional form, typically a bell-shaped function, etc. XT~JP
Such functions are used in FLC because they lead themselves to \#2,1W@
manipulation through the use of fuzzy arithmetic. k%:]PQjYT
l It should be noted that in our daily life most of the information on w69`vK
which our decisions are based is linguistic rather than numerical in 1oj7R7
nature. Seen in this perspective, fuzzy control rules provide a natural UH%?{>oRh
framework for the characterization of human behavior and decisions AUS?Pt[w
analysis. )@1_Dm@0b
l Many experts have found that fuzzy control rules provide a x gaN0!
"@GopD
convenient way to express their domain knowledge. This explains XV %L6x
why most FLCs are based on the knowledge and experience which _*bXVJ
]
are expressed in the language of fuzzy "if-the" rule. F2oY_mA
Chapter 4. Examples 8dIgw
Example/ Data
Yq`r>g
l The data used in the following example was taken from an N1P[&lR
experiment in which xx was measured between x and x using a xx ./5|i*ow
technique. X@af[J[cQ
l The data consists of over xx measurements. U G
^6I5
l An example of xx is discussed and the control rules of xx are "M_X9n_
compared with a xx {U^mL6=&v
l Examples of complex processes to which this technique may be vj?9X5A_
applied are xx, xx, etc. <T
l The following example is constructed only for the purpose of ttZ!P:H2
illustrating the computational procedure discussed. D9#e2ex]
l This example clearly demonstrates that the profile of an individual GE~mu76%
xx, or a very small group of xx, with no enough data to be studied MfeW|
statistically, can be meaningfully analyzed by fuzzy possibilistic "-v9V7KCM
methods.
vhWj_\m
l There is no space here to go into detail on all these methods, but Q(Vc/
deserve a mention and the bibliography will point to detailed <Er|s^C
references for those wishing this level of detail. @f*/V e0.
l Note that the golf ball spotting example is used throughout the "-ZuH
paper.
9l{r&]
Comparisons 68 - I2@&
l As well, the pros and cons of these representations from a process g[H7.
planning point of view will be discussed. aWe
H,A%
l The method of using xx to implement xx described by Zadeh w:MfaN*
(1973) appeared more suitable .~W7{SY[
l As discussed [in the previous section]/[preciously], 20% xD e
"5K
x]y8
Relation bmt2~!
l We can not invert F' directly because it defines a many-to-one ##k=='dR
mapping. @zd)]O]xH?
l The relationships appear very complicate Gt6$@ji4u
l Lifting tasks involve complex and imprecise relationship between )2bPu[U
the task variables and the human operator's characteristics. U6.$F#n
l These methods are based on the relationship between ... and ... 8
A%)m
l The fundamental concept of a fuzzy rating language is that we can 9-bDgzk
establish a relationship among terms such as high, medium, and low, [0MVsc=
and then modify these relationships. m:p1O3[R
l This article will thus mention the latter as well as the former. 1S.nqOfx
l The former two bear a close relation to a fuzzy Cartesian product. hz\7Z+ $L_
Importance oWx!
'K6]V
l The emphasis is on an implementation of a general approach to r%_)7Wk*
rule based decision making. AO8`ItNZdT
Consideration / Attention h\D
y(\
l Careful evaluation is necessary to ensure 9O@eJ$
l Such a formulation does not change further considerations. Q3z-v&^E9
l Considerable attention has been paid to @Cw<wrem
l Attention should be paid to an important finding of this zbi[r
investigation. sbkWJy
l Caution should be exercised in this process to avoid ... /o8h1L=
l Primary consideration is given to ... components, though others e-{k;V7b
can be accommodated q
jUQ2d
l After ... has been defined by ..., a carefully analysis is carried =<a`G3SY!
out/performed to determine DFR.F:O%
l A number of factors such as ...need to be taken into consideration 1_GUi
before making the appropriate decision. ;'R{b$B;|
l It should be noted that
C4Bh
#C
l It is important to point out that ... _j<46^
l These considerations have heightened interest in the possibility of vxZz9+UbF
providing ... 3VALrb;
oDM}h
+
l We should stress the fundamental importance of the xx HPr5mWs:
Chapter 5. Results. mY;Y$fz;xL
Advantages / Disadvantage SvDVxK
l One of the major advantages of this new measure of xx is that it
+?nW
can be applied to the experimental study of 5XA6IL|/l
l One advantage of using a .. is the ease of preparing it. ,C(")?4aJ
l The xx system is versatile J/R=O>
l It has a very fast decision making process h_x"/z&
l All the algorithms involve mostly logical operations. |2
{y'?,
l It can be easily and without additional cost implemented in a CKNH/[ZR,
microprocessor-based environment. 8Ay#6o
l It can reduce the waste of designing from scratch. &xrm;pO
l The advantages of using a xx to represent xx are the following: waO*CjxE:
l However, xx is not without its shortcomings. j4+hWalm
l In most cases, the xxx shows an improvement over the existing Bb8lklQ
xxx. 1th|n
l Compared to the existing xx, the impacts of the xx are generally { S4?L8
reduced by 5% to 9%. '1^\^)
&q
l The "best case" results shows a savings of 6% to 9%. 9'td}S
l Most of the existing works based on xx approach can only +Rxf~m(pV
recognize a xx . tlI3jrgw
l Most of the above methods are computational expansive and OUnt?[U\
limited to xx. K(Zd-U
l Some other advantages of xx are the following: Wi
hQ
j
l The problem is the limitation of this method to a limited domain of $zy
Y"yWRZ
parts. a?M<r>
l It proved limited in application because it demanded precision in WTSY:kvcCY
system modeling that was impossible in practice.
VG q'
l There are advantages to be gained in the structuring of costs and L8/o9N1
benefits, the use of xx, :7@"E
W
l The disadvantages of this method are also disadvantages of _I3j7f,V
conventional xx approaches. 2AzF@Pi^z
qYGnebn@\
l This combines the best features of both techniques %7/XZQ
l Hopefully, this tool can be as the reference framework of for :*)~nPVV
developing a xx platform, and helping the administration, marketing,
P\*-n"
and knowledge management activities in virtual communities. 573wK~9oMh
Results ?K|PM<A
l An improvement on the result shown above can be made by based +\\*Iy'xK
on the data provided "|.>pD#0&
l Discussion of these theories is beyond the scope of this review Bwn9ZYu#r
l Based on the information contained in this m/cbRuPWgP
l The result can be categorized into nine classes q'hMf?_
l The results are illustrated by an example *{)[:;
l The experimental results for each xx time are reported in Table 2. -Z4J?b
l From the results obtained so far, it seem that 0r_8/|N#
l Because of the inaccuracy of the ..., a conclusion cannot be drawn Rr|VGtg
as ~;Ss)d
l Although much effort has been made to., this reality is far from #f
zvK+
completion. QKE$>G
l The results indicate that the total benefits are higher than the <E&1HeP
total costs. |.*),t3
(w
l Their results may then serve as guidelines for lower level models, zVGjXuNa
less fuzzy and more detailed. ~ifq_Ag.
Chapter 6. Conclusion }Xrs"u,
l From the discussion, one may conclude that ... agM.-MK
l Form the above discussion, the conclusion can be reached that T9*\ITA
l The conclusions drawn are also valid ~Rs|W;
l In conclusion to this, it becomes obvious that the problem of xx 8rGW G
lies not only in... e\%QHoi>u
l We have attempted to introduce some concepts associated with a k#c BBrY
theory of c^6v7wT5
xx based on fuzzy sets. x
+q"%9.c
l Considerable more work, hopefully, will be done in this area pyT+ba#
l A fuzzy set procedure is proposed to solve xx selection problems c1jHg2xim
/A9M v%zjk
interwoven with imprecise data v|?hc'Fj
l Employing the compositional rule of inference, the assessment of 6mep|![6
the xx compatibility in achieving prescribed xx projectiles in any k]qZOO}
level of the hierarchy is made possible. .sbU-_ij@U
l This paper has presented a theoretical and experimental study of PUltn}M
the xx process and xx concept. o*qEAy?
l The experimental research results will hopefully serve as useful r[TS#hQ
feedback information for improvements for xx work. "<v_fF<Y
l The scope of this contribution was to introduce a xx method. j72cS
Rv
l In general, fuzzy sets theory provides an alternative foundation YUT"A{L
for xx analysis in a fuzzy environment. $-=aqUU
Future Research _8 vxb
l Thus, first extension of the approach could be, hO;bnt%(
l Present some cues for a further approach from Fuzzy Sets Theory
8kW9.
application to vEtogkFA"
l Some improvements to the scheduling aspect of the model may %f6l"~y
be brought through additional levels in the hierarchy for more $#]?\psf
detailed representation of the scheduling activity. J:?t.c~$o
Tables and Figures O<6/0ub&+h
l Figure 7-1 sketches these relationships. n\,TW&3
l The graphical representation of these functions is shown in Figure Wn0r[h5t
1. E
OtrrfT&
l The xx may be depicted as in Figure 1. f910drg
7
l Figure x shows the schematic diagram of the &U4]hawbOU
l Figure 1 though 2 provide a ... that GVn9=[r
l the architecture of this expert system for .... is illustrated in Figure
A'[A!NL%
2. OiM{@
l Figure 2 gives the outline of an ... system |i|YlWQS
l Table shows the ]3d&S5zU
l as shown in Table 1 and 2 \M>AN
Z}
l This concept is illustrated in Figure 2 3q pkMu3
l At the top of Table xx are shown two blocks of data. L'aMXN
O
aj(M{gFq~
l Each table or matrix has constructs xx through xx as ZmmuP/~2K
row-headings, ]\#RsVX
xx through xx as column-headings. ]"/ *7NM
l A table of .. is developed and significant recommendations are {GHGFi`Z
made. Xo%A nqk
CONJUGATION f{3FoN=z
To Indicate Addition ^<y$+HcH
l additionally, again, also, and then, as can be easily understood, n0vPW^EQ
besides, equally important, especially, finally, for the same reason, q8kt_&Ij
first, further, furthermore, in addition, last, likewise, moreover, next, ioa 1n=j
second, third, too, evidently, obviously, roughly speaking, broadly L {B#x@9tQ
speaking wV5<sH__
To Indicate Cause and Effect H.>KYiv+
l accordingly, as a result, consequently, for this reason, hence, in HnY: gu
short, otherwise, then, therefore, thus, truly jWU)y)$
To indicate Comparison i^QcW!X&
l in a like manner, likewise, similarly , alternatively @&EP&
$*
To Indicate Concession <n6/np!
l after all, although this may be true, at the same time, even though, R0/~)
P
even so , I admit, naturally, of course OmoY] 8N}
To Indicate Contrast
[,1j(s`N5
l and yet, at the same time, but, for all that, however, yet, in fact, in \{UiGC K
contrast, in the real life, in spite of, nevertheless, notwithstanding, 97Q!Rot
normally, on the contrary, on the other hand, still, traditionally, /1OhW>W3eH
rather, unfortunately, hOwVm;:
To Indicate Time Relationships: ol:_2G2xQ
after a short time, afterwards, as indicated earlier, as long as, as soon E3gQ`+wNg?
Xt7uCs
as, at last, at length, at the moment, at that time, at the same time, ]I}'
[D
before, earlier, currently, immediately, in the meantime, in recent }RyYzm2
years, lately, later, meanwhile, often, of late, presently, recently, wEkW=
soon, shortly, since, thereupon, temporarily, therefore, until, when, ^T<<F}@q
while _Y~+ #Vc
To Indicate Special Features or Examples: Fh?q;o
Ej
for example, for instance, incidentally, indeed, in fact, in other words, leyX:
+
in particular, in practice, specifically, that is, to illustrate, in this G4=v2_]
respect, theoretically, as mentioned before / above =XWi+')
To Indicate Summary: "C0oFRk
in brief, in conclusion, in short, in summary, on the whole, to a2g1 5;kM
conclude y\@XW*_?
, in general, to summarize, to sum up, as a result, ultimately, yt<K!=7&
VERB PHASE | 9(uiWf
l build a .. model 0&w.QoZY(
l build up the key link aIm\tPbb
l began a new era in ... 3N<FG.6
l can be regarded as / achieved / used to/for / found / obtained mk0rAN
through jt;,7Ek
l can result in 9 s>JdAw?
l carries out ... tasks S(rA96n
l production information in order to simultaneously 3|@Ske1%Y
l contains all information necessary to describe paiF ah
l do not make use of production information O@EpRg
1
l deals with g y
&B"`
l end with failure C9*'.~
l fetch the information from the model directly #Ok*Or
l has great potential / yet to be resolved / spurred the DMf:u`<
development of / 6{1c
S
been recognized as :}j{ NM#
l BE aimed at / built up / carried out by / essentially concerned F7L+bv
p+A#t~K
with / considered to be the key technology / associated with each UB=I>
feature of a compo *R8q)Q
site component / cable of / currently implemented for / VBsS1!g
demonstrated by an example / finally reached / made equal to / q(_pk&/
equivalent to / more suitable to / oriented to / interpreted as / {3!v<CY'
pointed out / potentially of great benefit in the complex task of / 6x6PP}IX
shown in / used to effectively guide the search lS
9rgq<n
l makes use of K^w(WE;db
l make up >8HcCG
l meets the needs of real life production,/ the current demands ,%yjEO
placed upon it .J'}qkz~
l must be justified
8dNwi&4
l point out :q<8:,rP
l play an important role lqTTTk
l relates to nM>oG'm[n
l rely on %!mJnc%
l satisfy the needs s(o{SC'tt
l determine the total requirements for the ... 2I*
7?`
l uses ... as a key to search for... hjtkq.@
l without relying on b*\K I
l will be available/ performed/ overlooked 2Xys;Dwx
NOUN PHASE yIC8Rl
l a basic technical function of waz)jEk
l a critical need imv[xBA(d
l a key / principle feature of ]Nz~4ebB
l a substantial impact on u^8:/
~8K
l an intensive review was conducted TL-sxED,,D
l an increasing need for expanding the application of .... }1VxMx@
l an important component / function / aspect / issue $6kVhE!;
l each rule is numbered in sequence sKVN*8ia
l each of these involves ^I*</w8
l for this calculation, it is necessary to define ,u8)g;8s
l in the physical environment / integration of 61L
vT"
`z=U-v'H)D
l in the reality of situations where … ~8L*N>Y
l many aspects of <5
X?6*Qvr
l most past efforts have been spent on ... %5Hsd
l common sense to a well studied and documented technical field. SR7$m<0t*
l sources of additional information on ... are listed &MKG#Y}
l systematic and rationally structured format {>PN}fk2QP
l the basis on which a range of ...operations can be established is l?2(c
shown _H@Y%"ZHJ6
l THE basic philosophy / principles of / key element / general 6;6a.iZ
hypothesis / candidate list of / concept of ... has attracted wide lO3W:,3_a
interest / function is concerned with / heart / impact / nature / role [!H2i
p-
/ task of / kernel functions ywWF+kR_
l the number of parts needed to ;43Ye
^=
l the above statement means that __o`+ ^FS
l the output data is passed to BB@I|)
9O(
l the proposed method / underlying principle feU]a5%XZ
l the recommendations made in this report, if implemented, should K;moV| j
l this information resides in Ja<pvb
l this process is composed of ... different ... operation GG%X1c8K
l along with the use of
hp=TWt~
l concerning general aspects of Au3>=x`
l due to *qdf?'R
l for later use in generating..., Hbwjs?Vq?]
l in turn, ."b=dkx
l IT IS believed / noted / assumed / suggested / shown / quite gSLwpIK%
evident / appears / implies that / intended for / of no important to 6QS[mWU
l it can be claimed/concluded that ;ELQIHnD"
l it demonstrates the decisions required of SxV(.i'
l it also provides information to .. $T7hY$2Ql
l it becomes essential to w}n:_e
l let ... be the probability that L$zI_
z
l once... is written, it is compiled into... s!S,;H
l suppose it is observed that $mFsf)1]]?
l this is because rx`G*k{X
]}
z
;!D>
l this results in a #:Z"V8n'
l upon completion of the ... analysis, DF D5">g@
l when the knowledge is of mathematics or quantum physics, it will 63:0Vt>hZ^
also be <jdS0YT
recorded in books and papers Q]X0O10
l selection of rules for using the tools, for generating operation +o&E)S}wP
plans, + wd} '4)
is another matter of preference, since practice varies greatly. ]P/eg$u'I
l for the sake of convenience {m5tgVi&
l correct decision to be reach /_~b~3
{u
l keeping the number of rules to a minimum. #sit8k`GR8
l a good process plan will result exhibiting several characteristics: G3QB Rh{
l practical solutions B.fL
gQK0
l because of rather small job lot sizes }%k,PYe/
l Backward reasoning can be used to answer the question "should @~6A9Fr
milling tool be select" different level of knowledge in the realm of )f#@`lf[<
process planning