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Beginning ]A*v\Qy
1. In this paper, we focus on the need for k:D;C3vJd
2. This paper proceeds as follow. **jD&h7$s-
3. The structure of the paper is as follows. i,G )kt'H
4. In this paper, we shall first briefly introduce fuzzy sets and related Gx75EQ2
concepts @WuB&uF=d
5. To begin with we will provide a brief background on the m*VM1k V
Introduction (+g!
~MP
1. This will be followed by a description of the fuzzy nature of the ,~@0IKIA
Q
problem and a detailed presentation of how the required GdN'G
membership functions are defined. !?Tu pi
2. Details on xx and xx are discussed in later sections. LGb.>O^
3. In the next section, after a statement of the basic problem, various *.ffyBI*~
situations involving possibility knowledge are investigated: first, an BS
}uv3
entirely possibility model is proposed; then the cases of a fuzzy L@rKG~{Xy
service time with stochastic arrivals and non-fuzzy service rule is 0-dhGh?.
studied; lastly, fuzzy service rule are considered.
G
$u:1&
Review xe)< )y
1. This review is followed by an introduction. 7S<Z&1(
2. A brief summary of some of the relevant concepts in xxx and xxx is 1a{~B#
presented in Section 2. Z+"%MkX0
3. In the next section, a brief review of the .... is given. )F;[
4. In the next section, a short review of ... is given with special regard u(KeS`
to ... KZV$rJ%G
5. Section 2 reviews relevant research related to xx. $j
b3#Rj4
6. Section 1.1 briefly surveys the motivation for a methodology of
]2Aqqy
action, while 1.2 looks at the difficulties posed by the complexity of ,cm;A'4]
systems and outlines the need for development of possibility v~73
methods. &libC>a[
Body [|~X~AO%
1. Section 1 defines the notion of robustness, and argues for its {] -nYHGL
.a:Oj3=0
importance. T8YqCT"EA<
2. Section 1 devoted to the basic aspects of the FLC decision-making j#%*@]>Tg
logic. #'z\[^vp
3. Section 2 gives the background of the problem which includes xxx ee&QZVL>
4. Section 2 discusses some problems with and approaches to, 5}e-~-
natural language understanding.
K)GC&%_$O
5. Section 2 explains how flexibility which often ... can be expressed 9a)D8
in terms of fuzzy time-window ;3'}(_n
6. Section 3 discusses the aspects of fuzzy set theory that are used in #v-)Ie\F?
the ... r jU $*+
7. Section 3 describes the system itself in a general way, including xPqpNs-,
the ….. and also discusses how to evaluate system performance. |6\ ?"#
8. Section 3 describes a new measure of xx. B7t#H?
9. Section 3 demonstrates the use of fuzzy possibility theory in the Uy ;oJY
analysis of xx. Fg4eIE-/M
10. Section 3 is a fine description of fuzzy formulation of human :KX/GN!n
decision. wlKpHd*
11. Section 3 is developed to the modeling and processing of fuzzy $if(`8
decision rules & A9psc(,&
12. The main idea of the FLC is described in Section 3 while Section 4 6@o_MtI
describes the xx strategies. 2~h)'n7Mw
13. Section 3 and 4 show experimental studies for verifying the T:cSv
@G
proposed model. |#5JI#,vX
14. Section 4 discusses a previous fuzzy set-based approach to cost v}[KVwse
variance investigation. ~`tc|Zu
15. Section 4 gives a specific example of xxx. RWA|%/L
16. Section 4 is the experimental study to make a fuzzy model of @uY%;%Pa8
memory process. pS%,wjb&P
17. Section 4 contains a discussion of the implication of the results of m!;mEBL{
Section 2 and 3. ~n"V0!:'4
18. Section 4 applies this fuzzy measure to the analysis of xx and shn`>=0.&
illustrate its use on experimental data. #C%<g:F8
19. Section 5 presents the primary results of the paper: a fuzzy set _Zf1=&U#/
model .. y''? yr
6xz&Qi7w
20. Section 5 contains some conclusions plus some ideas for further Zb2 B5(0
work. X[;4.imE
21. Section 6 illustrates the model with an example. {AIZ,
22. Various ways of justification and the reasons for their choice are -ZihEyG?V
discussed very briefly in Section 2. VdK-2O(.-
23. In Section 2 are presented the block diagram expression of a !JYDg
whole model B u4N~0
of human DM system SKRD{MRsux
24. In Section 2 we shall list a collection of basic assumptions which M;Vx[s,#,
a ... scheme must satisfy. &5d>jEaB}
25. In Section 2 of this paper, we present representation and a.8 nWs^
uniqueness theorems for the fundamental measurement of fuzziness M5) 6|T
when the domain of discourse is order-dense. 5@ZD'
26. In Section 3, we describe the preliminary results of an empirical p3^7Hr
study de ](l687I
currently in progress to verify the measurement model and to dwx1EdJ{
construct membership functions. `VBjH]$
27. In Section 5 is analyzed the inference process through the two g>f(5
kinds of inference experiments... 0W=IuPDU
This Section +%gh?
1. In this section, the characteristics and environment under which t9P` nfY
MRP is designed are described. o)-Qd3d%S
2. We will provide in this section basic terminologies and notations +U6!
bu>C
which are necessary for the understanding of subsequent results. oN _%oc
Next Section 6 'wP?=
2. The next section describes the mathematics that goes into the <,cD EN7
computer implementation of such fuzzy logic statements. [;.zl1S<
3. However, it is cumbersome for this purpose and in practical 9Xm"kVqd/
applications the formulae were rearranged and simplified as F`?p
Z
discussed in the next section. ((?^B
4. The three components will be described in the next two section, +pjD{S~Y
and an example of xx analysis of a computer information system will ?NHh=H\7u
zxsnrn;|
then illustrate their use. ]q?<fEG2<
5. We can interpret the results of Experiments I and II as in the OK2wxf
following sections. }D|"$*
6. The next section summarizes the method in a from that is useful /Hd\VI
for arguments based on xx p$"*U[%l
Summary Y8C
Xinh
1. This paper concludes with a discussion of future research {(aJrSE<z
consideration in section 5. S:R%%cy
2. Section 5 summarizes the results of this investigation. #D}NT*w/
3. Section 5 gives the conclusions and future directions of research. r<bg->lX
4. Section 7 provides a summary and a discussion of some extensions @w|~:>/g
of the paper. #U6Wv1H{Lp
5. Finally, conclusions and future work are summarized [(dAv7YbN
6. The basic questions posed above are then discussed and vwT?B
p
conclusions are drawn. L;v#9^Fq
7. Section 7 is the conclusion of the paper. ixU1v~T
Chapter 0. Abstract ]p$fEW g
1. A basic problem in the design of xx is presented by the choice of a b2:CFtH5
xx rate for the measurement of experimental variables. Z/2#h<zj
2. This paper examines a new measure of xx in xx based on fuzzy jI y'mGaG
mathematics which overcomes the difficulties found in other xx YgVZq\AV"
measures. Lo !kv*
3. This paper describes a system for the analysis of the xx. DuCq16'0T
4. The method involves the construction of xx from fuzzy relations. G:A`
n;E0
5. The procedure is useful in analyzing how groups reach a decision. X\flx~
6. The technique used is to employ a newly developed and versatile .+ _x|?'
xx algorithm.
!$&K~>`
7. The usefulness of xx is also considered. kkh#VGh"
8. A brief methodology used in xx is discussed. .PF~8@1ju
9. The analysis is useful in xx and xx problem. A2htD!3
10. A model is developed for a xx analysis using fuzzy matrices. Knn$<!>
11. Algorithms to combine these estimates and produce a xx are Wny{qj)=
XFH7jHnL+U
presented and justified. B6|=kl2C
12. The use of the method is discussed and an example is given. A.(Z0,S-i
13. Results of an experimental applications of this xx analysis -u8 ma%JW
procedure are given to illustrate the proposed technique. *y u|]T
14. This paper analyses problems in HjL+Wg
15. This paper outlines the functions carried out by ... [9*+s
16. This paper includes an illustration of the ... *\-6p0~A
17. This paper provides an overview and information useful for na>UFw7>*
approaching ys09W+B7
18. Emphasis is placed on the construction of a criterion function by 2g
ukK8R$
which the xx in achieving a hierarchical system of objectives are 9Yd<_B#
evaluated. 1;S@XC>
19. The main emphasis is placed on the problem of xx s}X2*o`,
20. Our proposed model is verified through experimental study. Me2%X>;
21. The experimental results reveal interesting examples of fuzzy -PoW56
phases of: xx, xx -I'#G D>
22. The compatibility of a project in terms of cost, and xx are likewise g2BE-0, R
represented by linguistic variables. =J<3B
H^m
23. A didactic example is included to illustrate the computational H
$XO]\
procedure g-Vxl|hR
Chapter 1. Introduction sA#}0>`3S
Time =YO
q0
1. Over the course of the past 30 years, .. has emerged form intuitive 4*P#3 B'@V
2. Technological revolutions have recently hit the industrial world 3c}@_Yn
3. The advent of ... systems for has had a significant impact on the O,x[6P54P
4. The development of ... is explored Xq@Bzya
5. During the past decade, the theory of fuzzy sets has developed in a `1{Y9JdQ
variety of directions _ VKBzOH
6.The concept of xx was investigated quite intensively in recent years [0qe ?aI
7. There has been a turning point in ... methodology in accordance x+EkL3{
with the advent of ... %68'+qz
8. A major concern in ... today is to continue to improve... nl5A{ s
9. A xx is a latecomer in the part representation arena. ~G,_4}#"pM
]l>LU2 sx
10. At the time of this writing, there is still no standard way of xx FUzN}"\1
11. Although a lot of effort is being spent on improving these ``4e&
weaknesses, the efficient and effective method has yet to be 4Oo{\&(
developed. 0Q?)?8_
12. The pioneer work can be traced to xx [1965]. p>_Qns7W
13. To date, none of the methods developed is perfect and all are far V^Y'!w\LGI
from ready to be used in commercial systems. /9ctmW1!<
Objective / Goal / Purpose lg"aB
1. The purpose of the inference engine can be outlined as follows: :^7>kJ5?
2. The ultimate goal of the xx system is to allow the non-experts to G?kK:eV
utilize the existing knowledge in the area of manual handling of loads, >Q$ph=
and to provide intelligent, computer-aided instruction for xxx. <aztbq?
3. The paper concerns the development of a xx v%:VV*MxF
4. The scope of this research lies in 0vETg'r
5. The main theme of the paper is the application of rule-based qv& Bai[
decision making. G/*;h,NbNr
6. These objectives are to be met with such thoroughness and B*Q 9g r
confidence as to permit ... cbN;Kv?ak}
7. The objectives of the ... operations study are as follows: nv0\On7wd
8. The primary purpose/consideration/objective of 8~tX>q<@q
9. The ultimate goal of this concept is to provide pO_IUkt
10. The main objective of such a ... system is to y];-D>jk
11. The aim of this paper is to provide methods to construct such NV7k@7_{B
probability distribution. SE'!j]6jI
12. In order to achieve these objectives, an xx must meet the ;$WHT
O(
following requirements: ~wa6S?
13. In order to take advantage of their similarity W:,Wex^9n
14. more research is still required before final goal of ... can be k,[*h-{8
completed 2]1u0-M5L
15. In this trial, the objective is to generate... Q_U.J0
16. for the sake of concentrating on ... research issues 2 /FQ;<L
17. A major goal of this report is to extend the utilization of a recently p}^5ru
developed procedure for the xx. SRwD`FF
i|J%jA
18. For an illustrative purpose, four well-known OR problems are /M_$4O;*@
studied in presence of fuzzy data: xx. 4);_f
19. A major thrust of the paper is to discuss approaches and ZUHRATT-
strategies for structuring ..methods 0?<#!
20. This illustration points out the need to specify 1h&`mqY)L.
21. The ultimate goal is both descriptive and prescriptive. &^r>Q`u
22. Chapter 2. Literature Review d=/0A\O
23. A wealth of information is to be found in the statistics literature, |M7cB$y
for example, regarding xx hbJ>GSoZ,
24. A considerable amount of research has been done .. during the g w"
\pD
last decade uMJ\
25. A great number of studies report on the treatment of <7M-?g:vj
uncertainties associated with xx. BDTL5N
26. There is considerable amount of literature on planning $VuXr=f}
27. However, these studies do not provide much attention to gcU*rml
uncertainty in xx. +n)n6}S
28. Since then, the subject has been extensively explored and it is {'5"i?>s0>
still under investigation as well in methodological aspects as in <h/%jM>9/
concrete applications. Nc
;O)K!FH
29. Many research studies have been carried out on this topic. <s9?9^!!V^
30. Problem of xx draws recently more and more attention of system vrkY7L3\
analysis. `Mnu<)v
31. Attempts to resolve this dilemma have resulted in the l3>S{
development of "8xAe0-4
32. Many complex processes unfortunately, do not yield to this Z0F~?
design procedure and have, therefore, not yet been automated. vADiW~^Q^
33. Most of the methods developed so far are deterministic and /or iwotEl0*{
probabilistic in nature. l/&.H F
34. The central issue in all these studies is to 0!T`.UMI
35. The problem of xx has been studied by other investigators, b:m+I
however, these studies have been based upon classical statistical Zw.8B0W
approaches. E
TT46%Y
36. Applied ... techniques to EB~]6.1
37. Characterized the ... system as 1E+12{~m"i
-V2\s
38. Developed an algorithm to VdLoi\-/L
39. Developed a system called ... which "Ms;sdjg}&
40. Uses an iterative algorithm to deduce $x0SWJ \G
41. Emphasized the need to o).deP
s-
42. Identifies six key issues surrounding high technology =]Wi aF
43. A comprehensive study of the... has been undertaken qJhsMo2IH
44. Much work has been reported recently in these filed f7Gn$E|/r;
45. Proposed/Presented/State that/Described/Illustrated/ X8nos
Indicated/Has shown / showed/Address/Highlights w!.@64-
46. Point out that the problem of EBj^4=b[
47. A study on ...was done / developed by [] _yg_?GH
48. Previous work, such as [] and [], deal only with c8l>OS5i3_
49. The approach taken by [] is O$Rz/&
50. The system developed by [] consists A#{63_H
51. A paper relevant to this research was published by [] IhnBp 6p9
52. []'s model requires consideration of... J K
k0f9)
53. []' model draws attention to evolution in human development C|'DKT4M&
54. []'s model focuses on... K7
e~%mY
55. Little research has been conducted in applying ... to O'y8q[2KE
56. The published information that is relevant to this research... SQKhht`M
57. This study further shows that Gw
M:f/eV
58. Their work is based on the principle of FFHq':v
59. More history of ... can be found in xx et al. [1979]. R.~[$G!
60. Studies have been completed to established $|K
d<wv
61. The ...studies indicated that x#rgFY,TY
62. Though application of xx in the filed of xx has proliferated in |V9[aa*c
recent years, effort in analyzing xx, especially xx, is lacking. 1b,a3w(:1
Problem / Issue / Question 8{ zX=
63. Unfortunately, real-world engineering problems such as 2*#|t: (c
manufacturing planning do not fit well with this narrowly defined 1+l 8%G=hB
model. They tend to span broad activities and require consideration ;b~ S/
of multiple aspects. 7)66e
64. Remedy / solve / alleviate these problems ho]:)!|VY
67. ... is a difficult problem, yet to be adequately resolved ua\t5M5
BZR{}Aj4pa
68. Two major problems have yet to be addressed %!aU{E|@_
69. An unanswered question FG? Mc'r&
70. This problem in essence involves using x to obtain a solution. 8@3K, [Mo
71. An additional research issue to be tackled is .... ~9X^3.nI
72. Some important issues in developing a ... system are discussed ZsmOn#`=^}
73. The three prime issues can be summarized: rp Nb.
74. The situation leads to the problem of how to determine the ... [ks_wvY:'
75. There have been many attempts to Q*ITs!~Z
76. It is expected to be serious barrier to TlG>)Z@/
77. It offers a simple solution in a limited domain for a complex z;OYPGvkw
problem. B2`S0 H
1. There are several ways to get around this problem. -,bFGTvYQ
2. As difficult as it seems to be, xx is by no means new. ?h<4trYcv
3. The problem is to recognize xx from a design representation. )G[byBa
4. A xx problem can trace its roots to xx. k.J%rRneN
5. xx [1987] used a heuristic approach to simplify the complexity of b3(*/KgK
the problem. 6
FS%9.Ws
6. Several problems are associated with them. K)Y& I
7. Although some progress has been made in this area, at least two 2e48L677-
major obstacles must be overcome before a fully automated system A5l
Cc
b
can be realized. 1 ZdB6U0
8. Most problems in practice are complicated J^!;$Hkd
9. More problem surface here. @"w4R6l+*
10. Hamper effort toward a xx system 6BE,L
11. In order to overcome the limitations due to incomplete and wj[yo
S
imprecise xx knowledge, a xx program has been developed, which 8|&,JdT
bases its knowledge upon the statistical analysis of a sample So%X(,
|
population of xx >XN[KPTa
12. The above difficulties are real challenges faced by researchers I&PJ[U#~a
attempting to develop h]7_
N,
13. This type of mapping raises no controversy to the issue of ULx:2jz
membership function determination. kG^76dAQL
14. However, attempts to quantify the xx have met both theoretical ucCf%T\:
and empirical problems. 3:nhZN/95T
I}$`gUXX8x
15. It has become apparent that in order to apply this new (P>nA3:UXB
methodological framework to real-world problems and data, we have .1QGNW
to pay attention to the problems of xx and xx. c
r=Q39{
Chapter 3. Proposed methodology %-hSa~20
Assumption )W\)
37=.
1. In the case when the assumption of a xx seems to be too $<*) 5|6
restrictive or inadequate, the formulation with Fuzzy termination jCd]ENl+_
time, i.e. given by a fuzzy set in the space of control stages, may be Ae5A@4
applied. O>`k@X@9/
2. We assume here the fuzzy constraints to be state-dependent, and 0aT:Gy;
the fuzzy goal to be the same for all the control states, xx, which W]4Z4&