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Beginning ADN
1. In this paper, we focus on the need for npdpKd+*K"
2. This paper proceeds as follow. Q::6|B,G
3. The structure of the paper is as follows. %$I@7Es>
4. In this paper, we shall first briefly introduce fuzzy sets and related ih/MW_t=m=
concepts bcZ s+FOPd
5. To begin with we will provide a brief background on the ?3:xR_VWZu
Introduction mkOj&Q
1. This will be followed by a description of the fuzzy nature of the 'Ijjk`d&c
problem and a detailed presentation of how the required }[*BC5{>
membership functions are defined. f_GqJ7Gk]
2. Details on xx and xx are discussed in later sections. ;.P9t`*
3. In the next section, after a statement of the basic problem, various N!&$fhY)
situations involving possibility knowledge are investigated: first, an s'|^ 6/
entirely possibility model is proposed; then the cases of a fuzzy
W{2(fb
service time with stochastic arrivals and non-fuzzy service rule is I`e|[k2
studied; lastly, fuzzy service rule are considered. 2qD80W<1
Review LE:nmo
1. This review is followed by an introduction. G&/RJLX|w
2. A brief summary of some of the relevant concepts in xxx and xxx is jP9)utEm6
presented in Section 2. A12 #v,
3. In the next section, a brief review of the .... is given. J9
iQ W
4. In the next section, a short review of ... is given with special regard y84=Q
to ... W\? _o@d
5. Section 2 reviews relevant research related to xx. sKT GZA
6. Section 1.1 briefly surveys the motivation for a methodology of '8 ~E
action, while 1.2 looks at the difficulties posed by the complexity of vNJ!d
systems and outlines the need for development of possibility OJL?[<I
methods. > ^b6\
Body xxh(VQdg
1. Section 1 defines the notion of robustness, and argues for its MDCK@?\
8N|y
importance. `4'['x
2. Section 1 devoted to the basic aspects of the FLC decision-making jc
|"wN]
logic. b[3K:ot+
3. Section 2 gives the background of the problem which includes xxx Ih]'OaE
4. Section 2 discusses some problems with and approaches to, A7!=`yA$
natural language understanding. h
4 s!VK1X
5. Section 2 explains how flexibility which often ... can be expressed 9:!<=rk
in terms of fuzzy time-window D<zgs2Ex
6. Section 3 discusses the aspects of fuzzy set theory that are used in
=Zcbfo_&
the ... fCL5Et
7. Section 3 describes the system itself in a general way, including p
xrd D7
the ….. and also discusses how to evaluate system performance. 9WaKs d f
8. Section 3 describes a new measure of xx. LO,G2]
9. Section 3 demonstrates the use of fuzzy possibility theory in the p-H q\DP
analysis of xx. DbdxHuKa>
10. Section 3 is a fine description of fuzzy formulation of human #TLqo(/
decision. lZ5 lm
sCU
11. Section 3 is developed to the modeling and processing of fuzzy xA DjQ%B
decision rules Q
Fv"!Ql
12. The main idea of the FLC is described in Section 3 while Section 4 ,ufB*[~
describes the xx strategies. ewYZ} "o
13. Section 3 and 4 show experimental studies for verifying the HF9d~7R
proposed model. $2=-Q/lM
14. Section 4 discusses a previous fuzzy set-based approach to cost )6# i>c-
variance investigation. ^[{\ZX
15. Section 4 gives a specific example of xxx. >z*2Og#1
16. Section 4 is the experimental study to make a fuzzy model of >qj Q;z[
memory process. J+3PUfg>@R
17. Section 4 contains a discussion of the implication of the results of je6H}eWTC6
Section 2 and 3. :^+ aJ]
18. Section 4 applies this fuzzy measure to the analysis of xx and Suixk'-
illustrate its use on experimental data. 6mr5`5~w
19. Section 5 presents the primary results of the paper: a fuzzy set ln#Jb&u
model .. SG1fu<Q6J
"oX@Z^
20. Section 5 contains some conclusions plus some ideas for further x4jn45]x@
work.
9K*yds
21. Section 6 illustrates the model with an example. q(0V#kKC
22. Various ways of justification and the reasons for their choice are LOf0_g/
discussed very briefly in Section 2. xWX1P%`
23. In Section 2 are presented the block diagram expression of a ZzA4iT=KO
whole model Gma)8X#
of human DM system ]2kgG*^n"
24. In Section 2 we shall list a collection of basic assumptions which *Z"9Q X
a ... scheme must satisfy. &DC
o;Ij;
25. In Section 2 of this paper, we present representation and ngM>Tzirt
uniqueness theorems for the fundamental measurement of fuzziness V
QE *B
when the domain of discourse is order-dense. -`FPR4;
26. In Section 3, we describe the preliminary results of an empirical 3dG[dYj
study ~W'>L++
currently in progress to verify the measurement model and to juPW!u
construct membership functions. H~1&hF"d
27. In Section 5 is analyzed the inference process through the two r'7>J:cy=
kinds of inference experiments... "'
g*_
This Section hO3>Gl5<
1. In this section, the characteristics and environment under which n:cre}0.
MRP is designed are described. @l~zn%!X
2. We will provide in this section basic terminologies and notations #% PnZ
/
which are necessary for the understanding of subsequent results. :4]^PB@dl
Next Section %dMq'j
2. The next section describes the mathematics that goes into the
D~W1["[
computer implementation of such fuzzy logic statements. 9mW95YI S
3. However, it is cumbersome for this purpose and in practical ZW\}4q;[A
applications the formulae were rearranged and simplified as p`ai2`qC`
discussed in the next section. u!TVvc
4. The three components will be described in the next two section, SS;[{u!
and an example of xx analysis of a computer information system will _JZS;8WYR
A;E7~qOG
then illustrate their use. !"{+|heU9p
5. We can interpret the results of Experiments I and II as in the Y <;A989D
following sections. ;2X/)sxWz
6. The next section summarizes the method in a from that is useful |` gSkv
for arguments based on xx 3#7D
g't
Summary cl s-x@
Kd
1. This paper concludes with a discussion of future research G%N3h'zDi
consideration in section 5. jFYv4!\ju
2. Section 5 summarizes the results of this investigation. #?h#R5:0
3. Section 5 gives the conclusions and future directions of research. 03aa>IO
4. Section 7 provides a summary and a discussion of some extensions ts rcX
of the paper. -s
Iji)t
5. Finally, conclusions and future work are summarized z?V'1L1gM
6. The basic questions posed above are then discussed and %G!BbXlz
conclusions are drawn. p7y8/m\6
7. Section 7 is the conclusion of the paper. KrNu7/H
Chapter 0. Abstract ;<qv-$P
1. A basic problem in the design of xx is presented by the choice of a 871taL=
xx rate for the measurement of experimental variables. XBi}hT
2. This paper examines a new measure of xx in xx based on fuzzy L' w
}
mathematics which overcomes the difficulties found in other xx z&!n'N<C
measures. 6{/HNEI*1
3. This paper describes a system for the analysis of the xx. jcNYW_G
4. The method involves the construction of xx from fuzzy relations. m4FT^^3yE
5. The procedure is useful in analyzing how groups reach a decision. _G]f
v'
6. The technique used is to employ a newly developed and versatile
G-?y;V 1
xx algorithm. -z"=d<@
7. The usefulness of xx is also considered. U#3Y3EdF<
8. A brief methodology used in xx is discussed. +D
,Nd=/
9. The analysis is useful in xx and xx problem. +z/_'DE
10. A model is developed for a xx analysis using fuzzy matrices. 4Eq$f (QJ
11. Algorithms to combine these estimates and produce a xx are u;$g13
Kt
Wn08D!
presented and justified. cfn\De%.
12. The use of the method is discussed and an example is given. 34lt?6
%j
13. Results of an experimental applications of this xx analysis ,A`.u \f(:
procedure are given to illustrate the proposed technique. $ekJs/I&
14. This paper analyses problems in d ;GF<bz
15. This paper outlines the functions carried out by ... nqX)+{wAXe
16. This paper includes an illustration of the ... &6*X&]V!Z
17. This paper provides an overview and information useful for b65V*Vbj
approaching Er; @nOyD
18. Emphasis is placed on the construction of a criterion function by hdZ{8 rP
which the xx in achieving a hierarchical system of objectives are YcJZG|[
evaluated. 7]}n0*fe
19. The main emphasis is placed on the problem of xx 4L'dV
20. Our proposed model is verified through experimental study. Gt9(@USK
21. The experimental results reveal interesting examples of fuzzy *_Y{wNF*
phases of: xx, xx 3N8RZt1.b
22. The compatibility of a project in terms of cost, and xx are likewise di^E8egR$
represented by linguistic variables. {pEay|L_
23. A didactic example is included to illustrate the computational \4;}S&` k
procedure l;TWs_N
Chapter 1. Introduction Gj Ds,9@f
Time pwq a/Yi
1. Over the course of the past 30 years, .. has emerged form intuitive S!*wK-
2. Technological revolutions have recently hit the industrial world fB~BVYi
3. The advent of ... systems for has had a significant impact on the ]w2nVC3
4. The development of ... is explored
5X2&hG*
5. During the past decade, the theory of fuzzy sets has developed in a (8bo"{zI
variety of directions l/|bU9o /u
6.The concept of xx was investigated quite intensively in recent years qo2/? ]
7. There has been a turning point in ... methodology in accordance 2"Oj*
;
with the advent of ... 9 F"2$;
8. A major concern in ... today is to continue to improve... I)@b#V=
9. A xx is a latecomer in the part representation arena. N@Ie VF
,MH9e!
10. At the time of this writing, there is still no standard way of xx d9'gH#f?
11. Although a lot of effort is being spent on improving these dEz7 @T
weaknesses, the efficient and effective method has yet to be mGf@J6wGz
developed. Qyn~Vu43
12. The pioneer work can be traced to xx [1965]. 9NX/OctFa'
13. To date, none of the methods developed is perfect and all are far pq<302uBQ
from ready to be used in commercial systems. }E?{M~"<
Objective / Goal / Purpose Tnw0S8M
1. The purpose of the inference engine can be outlined as follows: Y!M&8;>
2. The ultimate goal of the xx system is to allow the non-experts to |$Y0VC4a
utilize the existing knowledge in the area of manual handling of loads, =&kd|o/i
and to provide intelligent, computer-aided instruction for xxx. s@Q,
wa(
3. The paper concerns the development of a xx Gag=GHG
4. The scope of this research lies in U
_QCe+
5. The main theme of the paper is the application of rule-based JqX+vRY;dd
decision making. s>i`=[qFc
6. These objectives are to be met with such thoroughness and (]wd8M
confidence as to permit ... X-xN<S q
7. The objectives of the ... operations study are as follows: P5vxQR_*lc
8. The primary purpose/consideration/objective of az5 $.
9. The ultimate goal of this concept is to provide (5-4`:1ux
10. The main objective of such a ... system is to O@$wU9D<
11. The aim of this paper is to provide methods to construct such K6C@YY(
probability distribution. Y|NL #F
12. In order to achieve these objectives, an xx must meet the @qszwQav$
following requirements: X>0$zE@0
13. In order to take advantage of their similarity
3,x|w
14. more research is still required before final goal of ... can be W7k0!Grrl
completed m2j&v$
15. In this trial, the objective is to generate... #osP"~{
16. for the sake of concentrating on ... research issues L?WF[nFR
17. A major goal of this report is to extend the utilization of a recently XOk0_[
developed procedure for the xx. ]HpKDb0+
g$z9 ( i+
18. For an illustrative purpose, four well-known OR problems are |H.i$8_A
studied in presence of fuzzy data: xx. R]s\s[B
19. A major thrust of the paper is to discuss approaches and Nb[zm|.
strategies for structuring ..methods 2;82*0Y%
20. This illustration points out the need to specify jbDap i<
21. The ultimate goal is both descriptive and prescriptive. +{qX,
22. Chapter 2. Literature Review , Ww\C
23. A wealth of information is to be found in the statistics literature, _kgGz@/p
for example, regarding xx sHt
PO[h
24. A considerable amount of research has been done .. during the x]1G u
last decade 'aq9]D_k
25. A great number of studies report on the treatment of M;14s*g
uncertainties associated with xx. *@E Itj `
26. There is considerable amount of literature on planning 7tEK&+H`
27. However, these studies do not provide much attention to {*X8!P7C
uncertainty in xx. )]\?Yy
g]
28. Since then, the subject has been extensively explored and it is
$O+e+Y
still under investigation as well in methodological aspects as in I3{koI
concrete applications. ftL>oOz[
29. Many research studies have been carried out on this topic. I6k S1
30. Problem of xx draws recently more and more attention of system GaD]qeS-K
analysis. 86]})H
31. Attempts to resolve this dilemma have resulted in the r35'U#VMk?
development of P ~pC /z
32. Many complex processes unfortunately, do not yield to this nJdO~0}3
design procedure and have, therefore, not yet been automated. {3jV ,S
33. Most of the methods developed so far are deterministic and /or h`_@eax
probabilistic in nature. <@Lw '
34. The central issue in all these studies is to %LL*V|
35. The problem of xx has been studied by other investigators, O_f+#K)
however, these studies have been based upon classical statistical eX+FtN
approaches. ^kS44pr\Q
36. Applied ... techniques to yf2I%\p}
37. Characterized the ... system as $'9b,- e
_?5$ST@5
38. Developed an algorithm to +<^TyIJ0
39. Developed a system called ... which WFOO6
kM
z
40. Uses an iterative algorithm to deduce Esc*+}ck
41. Emphasized the need to A?
=(q
42. Identifies six key issues surrounding high technology ";)SA,Z
43. A comprehensive study of the... has been undertaken ~-"<)XPe
44. Much work has been reported recently in these filed =,*4:TU
45. Proposed/Presented/State that/Described/Illustrated/ v7"Hvp3w
Indicated/Has shown / showed/Address/Highlights 1I'ep\`"X
46. Point out that the problem of ZQd\!K8y^Q
47. A study on ...was done / developed by [] \"E-z.wW=
48. Previous work, such as [] and [], deal only with a]-.@^:_i
49. The approach taken by [] is G8JwY\
50. The system developed by [] consists WHV]H
51. A paper relevant to this research was published by [] nUAs:Q
52. []'s model requires consideration of... -H@Gyw
53. []' model draws attention to evolution in human development w85PRruW
54. []'s model focuses on... y=L9E?
55. Little research has been conducted in applying ... to Q~5!c#r
56. The published information that is relevant to this research... WSdTP$?
57. This study further shows that =xs{Ov=
58. Their work is based on the principle of $X.X_
59. More history of ... can be found in xx et al. [1979]. </K"\EU
60. Studies have been completed to established [*-DtbE
k
61. The ...studies indicated that 4eSV(u)4
62. Though application of xx in the filed of xx has proliferated in UuV<#N)
recent years, effort in analyzing xx, especially xx, is lacking. a r0y8>]3
Problem / Issue / Question P=)&]Pz
63. Unfortunately, real-world engineering problems such as |eEcEu?/b
manufacturing planning do not fit well with this narrowly defined W_zv"c
model. They tend to span broad activities and require consideration I2@pkVv3z
of multiple aspects. 2:(h17So
64. Remedy / solve / alleviate these problems B}=
WxG|)
67. ... is a difficult problem, yet to be adequately resolved J?ljqA}i
}gE?ms4$
68. Two major problems have yet to be addressed E%CJM+r!
69. An unanswered question >Q0HqOq
70. This problem in essence involves using x to obtain a solution. C<!%V
Hs
71. An additional research issue to be tackled is .... WJG& `PP
72. Some important issues in developing a ... system are discussed OUY65K
73. The three prime issues can be summarized: =K<8X!xUW
74. The situation leads to the problem of how to determine the ... qb+vptg@I
75. There have been many attempts to \Rc7$bS2H
76. It is expected to be serious barrier to qDq
gU
77. It offers a simple solution in a limited domain for a complex kan?2x
problem. l<7)uO^8
1. There are several ways to get around this problem. 7`^]:t
2. As difficult as it seems to be, xx is by no means new. +DwyMzeE
3. The problem is to recognize xx from a design representation. d#@N2
4. A xx problem can trace its roots to xx. e[t+pnRh
5. xx [1987] used a heuristic approach to simplify the complexity of K!q:A+]
the problem. 4Fr0/="H
6. Several problems are associated with them. rC>')`uk
7. Although some progress has been made in this area, at least two IrU}%ZVV
major obstacles must be overcome before a fully automated system Wq!n8O1
can be realized. pq`Bg`c
8. Most problems in practice are complicated $x&\9CRM
9. More problem surface here. >pKu
G#
10. Hamper effort toward a xx system {0fQ"))"
11. In order to overcome the limitations due to incomplete and gk+$CyjJ
imprecise xx knowledge, a xx program has been developed, which *yGOmi
bases its knowledge upon the statistical analysis of a sample > m GO08X
population of xx iw|6w,-)C
12. The above difficulties are real challenges faced by researchers Ws[[Me,=
attempting to develop <tZPS`c'_
13. This type of mapping raises no controversy to the issue of B9;-Blh
membership function determination. 8S1%;@c
14. However, attempts to quantify the xx have met both theoretical ET4 C/nb
and empirical problems. 9k_3=KS3N
z<
~gv"
15. It has become apparent that in order to apply this new t@-:e^ v
methodological framework to real-world problems and data, we have y: @[QhV
to pay attention to the problems of xx and xx. RaFk/mSw
Chapter 3. Proposed methodology n$ye:p>`-
Assumption <,,U>0
?3
1. In the case when the assumption of a xx seems to be too /U[Y w)
restrictive or inadequate, the formulation with Fuzzy termination TL(L[
time, i.e. given by a fuzzy set in the space of control stages, may be *7hr3x
applied. %p?u
^ rq
2. We assume here the fuzzy constraints to be state-dependent, and b'fj
the fuzzy goal to be the same for all the control states, xx, which eRllF `*
stems from the problem's nature. 8cy#[{u`;
3. An approach to the solution of this problem is presented under the hQrO8T?2
assumption that the sampling rate Decision can be made prior to the >G<AyS&z*
execution of the experiment, as opposed to being made while the @*W,Jm3Y
experiment is in progress. :Vq gmn
4. Another assumption made above is that there are precise odds at Ow=` tv$l
which the expert is indifferent. H@er" boi
5. Main simplifying assumptions are: NS"hdyA
6. This, in our view, is a questionable assumption. @AL,@P/9=
Outline / Structure / Module NG@9}O
1. An outline of the research <2w@5qL
2. Information is incorporated within the scheme xmZ]mu,,$
3. Is built into ... structure $@q)IK%FDL
4. A nice modular structure. 5B| iBS l
5. The principles of ... are applied as modularized criteria |SXMd'<3`Z
Classification r: n^U#
1. A xx system comprises three main components: ]t]s/;9]K
2. Must decompose the original .. into a set of .. p_=^E*J]
3. Consists of the following steps: xtN%v0ZZ
4. This is summarized in the following steps: J=W"FEXTL7
H Kx2QFB
5. Can be broadly classified into the following areas: ~h?zK1
6. Can be characterized by its function of effectively processing the 9>d$a2nc
7. Can allow further breadth of application of ...into more :<Y,^V(
8. The following steps should be followed LX4S}QXw
9. xx can be classified by a different ways. C/ow{MxA
10. Based on the xx, one may classify xx into the following: )Z0pU
\
11. This catalog may change due to wear, breakage, and purchasing. r8+{HknB;
System hT9fqH
1. Unlike many conventional program, expert systems do not c3
]ZU^
usually deal with problem for which there is clearly a right or wrong Q&^ti)vB
answer. fb4/LVg'J
2. The system consists of both ... and ... '>_'gR0O
3. The system has a hierarchical modular architecture organized on >Rs:Fw|jro
three levels. eiI}:5~
/g
4. expert system domains are area of expertise =9 FY;9
5. To develop a xx system for xx, the following factors must be rgdDkWLXC
considered: )U e9:e
6. The system has been developed / designed to determine aGx`ec*t
7. The system has proven to be able to ` *x;&.&v
8. The domain in which an expert system operates is a particular >%x7-->IB
domain Wcl@H @
9. The system comprises a ... with X0+$pJ60
10. The system is [feature-oriented ] / based on the ... technique DG}t!
11. The system environment must be relatively stable 3i=+ [
12. The system is utilized to generate, load, store, update and [>Z~&cm
retrieve ... ~~,\BhG?
13. The development of a xx system has two stages: xx stage and xx Ey
A}
stage. \I1+J9Gl
14. The most essential part of .. system is the ... v1<3y~'f
15. The successful developments in ESs have made them an 1|l'oTAA
important tool in the development of 7RM$%'n\
16. An automated system was developed for k?3NF:Yy7
17. In this case, the system can be considered to be generative. f1y3l1/
L,M=ogdb
18. An interactive automatic ... system wP8Wx~Q=
19. A …. is commonly thought of as a truly integrated .. system .z4
fJx
20. Should be capable of being generated from a ... system n|sP0,$N1
21. xx is an important part of the integrated system. P!3)-apP\
22. The model consists of four rule bases, each of which addresses a Pky/fF7e
separate problem in the hierarchy of scheduling decision. MdmS
23. The rule bases are linked to each other in a chin-like manner in 5P-7"g ca
the sense that the consequent of one rule base constitutes a part of _>+!&_h
the antecedent of the next rule base. $OB 2ZS"
24. The rule base consists of all possible combinations of the C?m2R(RF
linguistic terms associated with the linguistic variable of the dU<\FW_
antecedent of a rule. 8Y?zxmwn]
Computer System 88x_}M^Fnl
1. The system has been implemented using Prolog language in an
I
,8
MS-DOS environment. Prolog was chosen because it offers a well k=!lPIx
known and flexible environment in which fuzzy reasoning may be W6J%x[>Z
easily implemented. ZFwUau
2. The current version of the xx program when compiled with p)v|t/7
WATFOR77 results in an executable code of about 270K bytes. 'Dw+k;RH
Typical run time, when run on a XX computer (an IBM compatible n]:Xmi8p
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min
z#9Tg"8]
to 2h, depending on the size (or complexity) of the problem. 3kfrOf.4h
3. Time consuming procedures have been implemented in 4'u +%6+__
C-language and directly linked to the Prolog environment. -i93
4. The xx process, once the xx's data has been entered, requires BV)oF2b:
approximately 180 seconds. "i>?Tg^
5. It should be noted that the computation was done with a 20 Hhz, -wn,7;
80386..209;based microcomputer equipped with a 80387 math jHjap:i`cI
co-processor. h; " 9.
6. The computer programs used for the analyses, one based on the xx D2}N6i
method and the other based on the new method, were written in g{PEplk
FORTRAN with a compiler that supports the math co-processor. #<h//<
7. Lisp, Prolog give maximum flexibility but also maximizes bmCp:6
Q$,AQyBlqc
development time. fh%|6k?#M
l Internal representation is the way a model is represented in the phCItN;
computer. [G!#y
l An interactive menu-driven procedure is used in this study ;Aqj$ x
l Shell can be develop very fast at the cost of time fairly severe i?{)o]i
limitations. w?#s)z4}g
l While there is no measurable saving of time for the case involving L(RI4d
five criteria, the saving is dramatic for the case involving 10 criteria w'uB&z4'
-- the computation time reduces from 10 hr 40 min to about 1 min. TXL!5,
X_
l This combination is being implemented in an objected-oriented b-
8}TTL>
programming environment (Smalltalk-80 system) to solve problems njxfBA:
encountered in construction xxx. i0}f@pCB?X
Method / Approach / Study / Process Model / Equation /Algorithm / B,S~Idr}
Rule / Formula / Technique /SW*y@R2l
l A discussion is presented of a problem-solving system { )g
$
l To improve the efficiency of the method, the following approach 0SjB&J
may be applied. q-hR EO
l In order to an investigation was made to find the causes of the jK-b#h.gL
l Although large collections of rules and equations have been xm Ns%
complied, none are generally accepted c/DK31K
l This approach will be explained and discussed thoroughly in the *^oL$_Y
body of the report. i 558&:
l This can be accomplished by %?hvN
l This algorithm to compute the total cost can be described step by 6gs0Vm
step as follows: +)hxYLk&I
l The above preliminary analysis has provided important "&:H }Jd
information i!{A7mo
l Various methods have been proposed for selecting an optimum... Y&<]:)
l These concepts have been applied to S6g_$Q7
l On the basis of the concept mentioned above, W)Ct*I^
l This can be achieved by VqUCcT
l This fact suggests that a new concept xa'^:H $X
l This was accomplished by taking ... R<B5<!+
< 1%}8t"
l The preparatory stage is very time consuming process. I_m3|VCa|t
l Test are performed for validity, completeness, and compatibility [D+,I1u2h
l There is little hope of achieving successful ... dS8ydG2
l There has been an increasing awareness of the potential of using {O:{F?
most ..so far made have not taken this approach, with the exception ;W T<]
of A`#?Bj
l Only a few studies can be found. dF[|9%)
l It is a very tedious process to go through k`;d_eW
l It is only when .. has been completed that .. may be effected ^TD%l8o6
l The entire interpretation process is conducted in one's head. BhYvEbt
l These approaches are sometimes very tedious. ;mYZ@g%e
l Several techniques can be used ?YMBZ
l A polynomial parametric model can be written as [the @ta:9wZ
following]/[follows]: E~#G_opQA
l A xx model is constructed/formulated using xx. P-a8S*RRa
l A xx model represents an xx by its xx. a4.w2GR
l A process decision model captures the logic essential to rFGPS%STS
l From the equation above, xx is equal to the summation of xx Ph%{h"
times the ... 'pT13RFD
l The validity of a xx model can be checked using Euler's formula. Yn[>Y)
l Given a model, one can mathematically determine whether ... or ... |gWA'O0S
l Equations for xx need to be derived and implemented in the 4/%fpU2
system. nw\C+1F
l A number of heuristic rules have been developed for %*szB$[3
l Optimum .. techniques can be made more reliable by ... so that `Th~r&GvF
l An algorithm based on the characteristic ... is used to determine OX 'V
l Euler's formula states the following: 2Mk;r*FT
l The completed model should agree with the formula. bZ1*:k2
l For manufacturing purposes, a detailed and precise model of the .;Mb4"
7=
object is necessary xxyc^\$
l Engineering design models are very well defined; therefore,
A
yr,
l To keep the domain narrow enough to be implementable, yet wide Ea&NJ]& g
enough to Pc*lHoVL
be useful. c+&Kq.~K
_]33Ht9
Point of View (D%vN&F
l from an implementation standpoint, L /:^;j`c
l From the point of view of this application, NuPlrCy;
l From this point of view, Zadeh suggested an inference rule named AwXzI;F^
xxx (CRI for short). C 2nmSXV
l Information is the meaningful interpretation and correlation of ]}PXN1(
some aggregation of data in order to allow one to make decisions. iphC\*F
l From a practical point of view, the computational aspects of an !p/SX>NJ
FLC require a simplification of the fuzzy control algorithm. COsmVQ.
l The use of a hammer to insert screws, although partly effective, ~9 .=t '
tends to distort, destroy, and generally defeat the purpose of using a SFRP
?s
screw [Kusiak AI Implications for CIM p.129] 1R3,Z8j'
Justification tu<<pR>
l We choose the so called xx in our experiment because it has a51e~mg Z`
received wide acceptance and can L4Zt4Yuw
l Prolog was chosen because it offers a well known and flexible mP&\?
environment in which fuzzy reasoning may be easily implemented. B;eka[xU
l The rationale behind this is that it can be much easier for an l<w7
\a6
estimator to rate a cost as high than to attempt to place a dollar 5aizWz
value on the estimate. z^U+oG
l This strategy has been widely used in fuzzy control applications e?.j8Q~
since it is natural and easy to implement. =}#yi<Lt
l A function definition expresses the membership function of a {lWV H
fuzzy set in a functional form, typically a bell-shaped function, etc. uVUU1@
Such functions are used in FLC because they lead themselves to VIz(@
manipulation through the use of fuzzy arithmetic. M!'d
l It should be noted that in our daily life most of the information on gSwV:hm
which our decisions are based is linguistic rather than numerical in w\acgQ^%e
nature. Seen in this perspective, fuzzy control rules provide a natural a2B71 RT~
framework for the characterization of human behavior and decisions 6?F88;L
analysis. 3_)I
&RM
l Many experts have found that fuzzy control rules provide a UON=7}=$&
%PYO9:n
convenient way to express their domain knowledge. This explains ;|WUbc6&g
why most FLCs are based on the knowledge and experience which p
qz~9y~
are expressed in the language of fuzzy "if-the" rule. gS~H1Ro
Chapter 4. Examples @}Hu)HO
Example/ Data oRCc8&
l The data used in the following example was taken from an 'IX1WS&\"
experiment in which xx was measured between x and x using a xx 9,'m,2%W
technique. $Aw@xC^!
l The data consists of over xx measurements. ]?
4;Lw
l An example of xx is discussed and the control rules of xx are
2'?'dfj
compared with a xx Q]K` p(
l Examples of complex processes to which this technique may be &IQ=M.!r
applied are xx, xx, etc. P+j=]Yg
l The following example is constructed only for the purpose of I1fpX |
illustrating the computational procedure discussed. /Sj~lHh
l This example clearly demonstrates that the profile of an individual 8 ??-H0P
xx, or a very small group of xx, with no enough data to be studied vN{@c(=g
statistically, can be meaningfully analyzed by fuzzy possibilistic xG/Q%A
methods. 4f\NtQ)
l There is no space here to go into detail on all these methods, but m8fj\,
X
deserve a mention and the bibliography will point to detailed 2$Mnwxfk
references for those wishing this level of detail. UGPDwgq\v
l Note that the golf ball spotting example is used throughout the $.jGO!
paper. iqDyE*a
Comparisons <K [y~9u
l As well, the pros and cons of these representations from a process V9oBSP'kt
planning point of view will be discussed. @N Yl4N
l The method of using xx to implement xx described by Zadeh *9j'
@2!M
(1973) appeared more suitable jaoZ}}V_$
l As discussed [in the previous section]/[preciously], O@Aazc5K
L)JB^cxf
Relation e gq,)6>
l We can not invert F' directly because it defines a many-to-one &nm
Bsl3Q.
mapping. <j'K7We/tP
l The relationships appear very complicate 9kD#'BxC
l Lifting tasks involve complex and imprecise relationship between R
(f:UC
the task variables and the human operator's characteristics. UXct+l
l These methods are based on the relationship between ... and ... d7V/#34
l The fundamental concept of a fuzzy rating language is that we can xGsOnY;
establish a relationship among terms such as high, medium, and low, (ks>F=vk*
and then modify these relationships. -gs
I:-Xo
l This article will thus mention the latter as well as the former. wC{sP"D
l The former two bear a close relation to a fuzzy Cartesian product. NN4Z:6W5
Importance s$#64"F
l The emphasis is on an implementation of a general approach to M XG>|
rule based decision making. $wM..ee
Consideration / Attention 1clzDwW
l Careful evaluation is necessary to ensure =IL\T8y09
l Such a formulation does not change further considerations. 5HbHJ.|r
l Considerable attention has been paid to }U7IMONU
l Attention should be paid to an important finding of this .B`$hxl*0c
investigation. ?nc:bC
l Caution should be exercised in this process to avoid ... n{QyqI
l Primary consideration is given to ... components, though others mP^ B2"|q
can be accommodated J
`5VE$2M
l After ... has been defined by ..., a carefully analysis is carried E3wpC#[Q1
out/performed to determine 7@{%S~TN
l A number of factors such as ...need to be taken into consideration b()8l'x_|K
before making the appropriate decision. |lLe^FM
l It should be noted that =o(}=T>:"
l It is important to point out that ... EeYL~ORdi
l These considerations have heightened interest in the possibility of l4RqQ+[KA;
providing ... F>.y>h
n~0wq(8M
l We should stress the fundamental importance of the xx o*$KiD
Chapter 5. Results. Jz''UJY/O
Advantages / Disadvantage 6O/ L~Z*t
l One of the major advantages of this new measure of xx is that it M.H!dZ
can be applied to the experimental study of oN}\bK
l One advantage of using a .. is the ease of preparing it. }e7/F[c.U
l The xx system is versatile 54z`KX
73
l It has a very fast decision making process }<G
ae5
l All the algorithms involve mostly logical operations. `pbCPa{Y
l It can be easily and without additional cost implemented in a 0faf4LzU!
microprocessor-based environment. z\v
l It can reduce the waste of designing from scratch. dtuCA"D
l The advantages of using a xx to represent xx are the following: ,GWa3.&.d
l However, xx is not without its shortcomings. t_^cqEr
l In most cases, the xxx shows an improvement over the existing @%g:'^/
xxx. v
0r:qku
l Compared to the existing xx, the impacts of the xx are generally ]oix))'n
reduced by 5% to 9%. ^Ip\`2^u
l The "best case" results shows a savings of 6% to 9%. p
!DdX
l Most of the existing works based on xx approach can only q|YnNk>1
recognize a xx . |vi=h2*
l Most of the above methods are computational expansive and -0(+a$P7e
limited to xx. "j%Gr:a
l Some other advantages of xx are the following: 34k(:]56|
l The problem is the limitation of this method to a limited domain of b0f6?s
parts. SFWS<H(IN
l It proved limited in application because it demanded precision in MXVCu"g%
system modeling that was impossible in practice. $xvwnbq#y
l There are advantages to be gained in the structuring of costs and R
"W=V
benefits, the use of xx, !G;BYr>X
l The disadvantages of this method are also disadvantages of 0Q%I[f8
conventional xx approaches. ke*&*mx"L
n\JSt}A
l This combines the best features of both techniques <y-2ovw*
l Hopefully, this tool can be as the reference framework of for wj$3L3
developing a xx platform, and helping the administration, marketing, w4y???90)
and knowledge management activities in virtual communities. O6-"q+H)
Results NnZ_x>R
l An improvement on the result shown above can be made by based pv|D{39Hs
on the data provided (>D{"}
l Discussion of these theories is beyond the scope of this review !Je!;mEvI
l Based on the information contained in this 5tbi};
l The result can be categorized into nine classes @(st![i
+
l The results are illustrated by an example )N
^g0L
l The experimental results for each xx time are reported in Table 2. p
t{/|P
l From the results obtained so far, it seem that jK=-L#hz
l Because of the inaccuracy of the ..., a conclusion cannot be drawn `4]-B@
7_
as +>h'^/rAE
l Although much effort has been made to., this reality is far from p)Q='
completion. }WkR-5N
l The results indicate that the total benefits are higher than the o2(*5*b!@e
total costs. -,xsUw4
l Their results may then serve as guidelines for lower level models, PsMCs|*
less fuzzy and more detailed. h "r)z6Q/
Chapter 6. Conclusion ~_L_un.R
l From the discussion, one may conclude that ... Q,f5r%A.
l Form the above discussion, the conclusion can be reached that *$7c||J7
l The conclusions drawn are also valid UG9 Ha
l In conclusion to this, it becomes obvious that the problem of xx |N>TPK&Xt
lies not only in... Hq$?-%4
l We have attempted to introduce some concepts associated with a [<{+tAdn)
theory of Vz&!N/0i
xx based on fuzzy sets. {*PB+WGe
l Considerable more work, hopefully, will be done in this area )Wm:Ilq
l A fuzzy set procedure is proposed to solve xx selection problems rfMzHY}%
Ey;uaqt
interwoven with imprecise data 13P8Zmco
l Employing the compositional rule of inference, the assessment of "h}miVArS
the xx compatibility in achieving prescribed xx projectiles in any ;HeUD5Nt6F
level of the hierarchy is made possible. *7o(
l This paper has presented a theoretical and experimental study of wGf SVA-q\
the xx process and xx concept. Xj<B!Wn*Xb
l The experimental research results will hopefully serve as useful v [ 4J0
feedback information for improvements for xx work. _YW1Mk1
l The scope of this contribution was to introduce a xx method. ^J]~&.l
l In general, fuzzy sets theory provides an alternative foundation Rx 4
;X
for xx analysis in a fuzzy environment. V1j5jjck
Future Research 58Fan*fO
l Thus, first extension of the approach could be, $;dSM<r
l Present some cues for a further approach from Fuzzy Sets Theory k/yoRv%
application to >8nRP%r[5,
l Some improvements to the scheduling aspect of the model may x%JtI'sg
be brought through additional levels in the hierarchy for more {(#>%f+|C
detailed representation of the scheduling activity. RAQi&?Ko
Tables and Figures 8rXu^
l Figure 7-1 sketches these relationships. ~ b;%J:
l The graphical representation of these functions is shown in Figure +tNu8M@xFo
1. kmm1b (
l The xx may be depicted as in Figure 1. LuB-9[^<
l Figure x shows the schematic diagram of the S3u>a\
l Figure 1 though 2 provide a ... that ;aip1Df
l the architecture of this expert system for .... is illustrated in Figure MkG3TODfHB
2. sHSZIkB-r
l Figure 2 gives the outline of an ... system D}wM$B@S
l Table shows the vJT
%ET
l as shown in Table 1 and 2 YT6<1-E#
l This concept is illustrated in Figure 2 #N?EPV$
l At the top of Table xx are shown two blocks of data. lz?F ,].
Rdd[b?
l Each table or matrix has constructs xx through xx as #`rvL6W q}
row-headings, UW*[)y w]
xx through xx as column-headings. qr[H0f]
l A table of .. is developed and significant recommendations are sXdNlR&
made. 9pD=E>4?#
CONJUGATION qh!2dj
To Indicate Addition ^b=9{.
5
l additionally, again, also, and then, as can be easily understood, /(Se:jH$>
besides, equally important, especially, finally, for the same reason, /l -lkG5
first, further, furthermore, in addition, last, likewise, moreover, next, YoV^Y&:9<
second, third, too, evidently, obviously, roughly speaking, broadly JyY-@GF
speaking h0ufl.N_%
To Indicate Cause and Effect :|3n`,
l accordingly, as a result, consequently, for this reason, hence, in t(YrF,
short, otherwise, then, therefore, thus, truly
~{7/v
To indicate Comparison k XGJZ$
l in a like manner, likewise, similarly , alternatively j3`#v3
To Indicate Concession \^O#)&5 V
l after all, although this may be true, at the same time, even though, m%Ah]x;
even so , I admit, naturally, of course Ffxf!zS
To Indicate Contrast
II;fBcXF
l and yet, at the same time, but, for all that, however, yet, in fact, in w8$rt
contrast, in the real life, in spite of, nevertheless, notwithstanding, ZPHiR4fQli
normally, on the contrary, on the other hand, still, traditionally, n#,<-
Rb-
rather, unfortunately, wLyQ <[$
To Indicate Time Relationships: 9aYDi)
after a short time, afterwards, as indicated earlier, as long as, as soon [J4
Aig
T~B'- >O
as, at last, at length, at the moment, at that time, at the same time, > <cK
before, earlier, currently, immediately, in the meantime, in recent jx _n$D
years, lately, later, meanwhile, often, of late, presently, recently, xlQl1lOX
soon, shortly, since, thereupon, temporarily, therefore, until, when, Ul@Jg
while E[N5vG<
To Indicate Special Features or Examples: NPjh2 AJm
for example, for instance, incidentally, indeed, in fact, in other words, XEd|<+P1
in particular, in practice, specifically, that is, to illustrate, in this *Jd,8B/hC
respect, theoretically, as mentioned before / above CS[[TzC=5
To Indicate Summary: S,&tKDJn
in brief, in conclusion, in short, in summary, on the whole, to V&)lS Qw
conclude }T
!2IaAB
, in general, to summarize, to sum up, as a result, ultimately, xgl~4
VERB PHASE q7id?F}3&
l build a .. model A/
kRw'6
l build up the key link z?C;z7eT
l began a new era in ... J:M)gh~#
l can be regarded as / achieved / used to/for / found / obtained TF %8pIg>Z
through rVLUT
l can result in -BWkPq!
l carries out ... tasks s
}P-4Sg
l production information in order to simultaneously ,Mwyk1:xix
l contains all information necessary to describe ?L|Jc_E
l do not make use of production information \Fh
k>
l deals with 51oZw%os=
l end with failure Gmcx#?|Tx
l fetch the information from the model directly K7&A^$`
l has great potential / yet to be resolved / spurred the )=\W
sQ
development of / 7pNTCZ
Y|
been recognized as +4emkDTdR
l BE aimed at / built up / carried out by / essentially concerned YWA:741
R6 wK'
with / considered to be the key technology / associated with each H[ %Fo
feature of a compo &/lJ7=Nq
site component / cable of / currently implemented for / pj,.RcH@o
demonstrated by an example / finally reached / made equal to / JbYv <
equivalent to / more suitable to / oriented to / interpreted as / {+[~;ISL
pointed out / potentially of great benefit in the complex task of / uPe4Rr
shown in / used to effectively guide the search
~4Is
l makes use of fiTMS:
l make up HSx~Fs^J
l meets the needs of real life production,/ the current demands e4NT
placed upon it =!xeki]|9
l must be justified 8aG
Z% UI
l point out R_*b<~[/
l play an important role c%)uG _
l relates to &RXd1>|c2
l rely on k`js~/Xv
l satisfy the needs )T#;1qNB
l determine the total requirements for the ... c
i7;v9
l uses ... as a key to search for... U=XaI%ZM)
l without relying on P0Na<)\'Y!
l will be available/ performed/ overlooked G"MpA[a_
NOUN PHASE Kggf!\MR8
l a basic technical function of XoSjYG(>,
l a critical need vyV n5s
l a key / principle feature of $},:z]%D
l a substantial impact on zx-+u7qKH
l an intensive review was conducted
g8XGZW!
l an increasing need for expanding the application of .... T<54qe4`p
l an important component / function / aspect / issue DHt
8 f
l each rule is numbered in sequence uc Z(D|a
l each of these involves CG9X3%xO%
l for this calculation, it is necessary to define *BXtE8
BU
l in the physical environment / integration of v/+ dx/
HC{|D>x.
l in the reality of situations where … --.j&w
l many aspects of $:u,6|QsS=
l most past efforts have been spent on ... pDkT_6Q
l common sense to a well studied and documented technical field. )lw7W9
l sources of additional information on ... are listed mApn(&
l systematic and rationally structured format Qmn5umd=?\
l the basis on which a range of ...operations can be established is Km,tfM5j
shown <;=Y4$y[
l THE basic philosophy / principles of / key element / general uTl:u
hypothesis / candidate list of / concept of ... has attracted wide J $e.$ah;
interest / function is concerned with / heart / impact / nature / role $,aU"'D
/ task of / kernel functions |Y'$+[TE
l the number of parts needed to >^-[Mpa(*
l the above statement means that k2t?e:)3zr
l the output data is passed to :W1,s53
l the proposed method / underlying principle /t>o
-
l the recommendations made in this report, if implemented, should L//sJe
l this information resides in k oHY
AF
l this process is composed of ... different ... operation _O!D*=I
l along with the use of :.35pp,0
l concerning general aspects of rq
F PUp
l due to QIV<!S
O
l for later use in generating..., z!3Z^d`
l in turn, ! 4oIx`
l IT IS believed / noted / assumed / suggested / shown / quite
9Np0<e3p
evident / appears / implies that / intended for / of no important to vlPE8U
=
l it can be claimed/concluded that ttsB'|ps
l it demonstrates the decisions required of ?s?uoZ
/2
l it also provides information to .. E{fnh50^Q.
l it becomes essential to @ [FFYVru
l let ... be the probability that >|'6J!Op
l once... is written, it is compiled into... RyhR#
l suppose it is observed that PR'FSTg
l this is because ?Tl@e
+[qkG.
O
l this results in a u!-eP7;7
l upon completion of the ... analysis, <+b:
l when the knowledge is of mathematics or quantum physics, it will %nC Uct@c
also be 2"MI8EK
recorded in books and papers kp6x6%{K\
l selection of rules for using the tools, for generating operation #NE^f2
plans, .Ep3~9TB
W
is another matter of preference, since practice varies greatly. Y{yr-E #~M
l for the sake of convenience sXa8(xc
l correct decision to be reach E\zhxiI
l keeping the number of rules to a minimum. L)+ eM&W
l a good process plan will result exhibiting several characteristics: bGJUu#
l practical solutions Imwx~eo
l because of rather small job lot sizes Vj]kJ,j\
y
l Backward reasoning can be used to answer the question "should mr1}e
VM~!
milling tool be select" different level of knowledge in the realm of z3C^L
process planning