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Beginning 0,)B~|+
1. In this paper, we focus on the need for AFcsbw
2. This paper proceeds as follow. %;yDiQ !+
3. The structure of the paper is as follows. %lNv?sWb
4. In this paper, we shall first briefly introduce fuzzy sets and related Ja>UcE29
concepts F@Y)yi?z
5. To begin with we will provide a brief background on the -fw0bL%0
Introduction EF=.L
{
1. This will be followed by a description of the fuzzy nature of the 5W"nn
problem and a detailed presentation of how the required oJe
9H <
membership functions are defined. Ug_5INK
2. Details on xx and xx are discussed in later sections. u
+q}9
3. In the next section, after a statement of the basic problem, various }$!bD
situations involving possibility knowledge are investigated: first, an @/*{8UBP
entirely possibility model is proposed; then the cases of a fuzzy jLX{$,
service time with stochastic arrivals and non-fuzzy service rule is -NtT@ +AE
studied; lastly, fuzzy service rule are considered. qp 4.XL
Review H1_XEcaM+*
1. This review is followed by an introduction. O&l(`*P
2. A brief summary of some of the relevant concepts in xxx and xxx is -Bbg'=QZa
presented in Section 2. vK6YU9W~J
3. In the next section, a brief review of the .... is given. =MDir$1Z
4. In the next section, a short review of ... is given with special regard jT"P$0sJAd
to ... '$pT:4EuGq
5. Section 2 reviews relevant research related to xx. 1MHP#X;|
6. Section 1.1 briefly surveys the motivation for a methodology of dl;~-'0
action, while 1.2 looks at the difficulties posed by the complexity of _a@&$NEox
systems and outlines the need for development of possibility *@o@>
methods. E*ybf'
Body GY<ErS)2
1. Section 1 defines the notion of robustness, and argues for its JL $6Fw;
<GPL8
D
importance. } Uki)3(
2. Section 1 devoted to the basic aspects of the FLC decision-making `?LQd2p
logic. ,!t1( H
3. Section 2 gives the background of the problem which includes xxx 4"1OtBU3
4. Section 2 discusses some problems with and approaches to, &[,g`S0
natural language understanding. .z&V!2zp
5. Section 2 explains how flexibility which often ... can be expressed tk"L2t
in terms of fuzzy time-window !O
F#4N
6. Section 3 discusses the aspects of fuzzy set theory that are used in ^tX+<X
the ... m)3?hF)
7. Section 3 describes the system itself in a general way, including ms'&.u&<
the ….. and also discusses how to evaluate system performance. W"Hjn/xSS
8. Section 3 describes a new measure of xx. Hn)K;?H4
9. Section 3 demonstrates the use of fuzzy possibility theory in the `q* 0^}
analysis of xx. 6G6Hg&B
10. Section 3 is a fine description of fuzzy formulation of human rubqk4
decision. aGVzg$
11. Section 3 is developed to the modeling and processing of fuzzy o/buU{)y
decision rules S+>&O3m
12. The main idea of the FLC is described in Section 3 while Section 4 }u
cqzdk#2
describes the xx strategies. Ht+ng
13. Section 3 and 4 show experimental studies for verifying the g0I<Fan
proposed model. 2n
+j.
14. Section 4 discusses a previous fuzzy set-based approach to cost vW]F
rb
variance investigation. 3~6F`G
15. Section 4 gives a specific example of xxx. 1 6;l,@
16. Section 4 is the experimental study to make a fuzzy model of
T~8` {^
memory process. ]Vhhx`0
17. Section 4 contains a discussion of the implication of the results of -cyJjLL*
Section 2 and 3. 5FqUFzVqsl
18. Section 4 applies this fuzzy measure to the analysis of xx and \<|a>{`7]i
illustrate its use on experimental data. F3jrJ+nJ
19. Section 5 presents the primary results of the paper: a fuzzy set 2T5@~^:7u
model .. gJi11^PK
RyD2LAf)J
20. Section 5 contains some conclusions plus some ideas for further &=|W95
work. <kn#`w1U'
21. Section 6 illustrates the model with an example. FMY
r6/I
22. Various ways of justification and the reasons for their choice are ({D.o
S
discussed very briefly in Section 2. F<BhN+U
23. In Section 2 are presented the block diagram expression of a O8SX#,3^}
whole model c}Jy'F7&f
of human DM system eC9~
wc
24. In Section 2 we shall list a collection of basic assumptions which @^Mn
PM
a ... scheme must satisfy. }
llzO
25. In Section 2 of this paper, we present representation and [#j|TBMHM
uniqueness theorems for the fundamental measurement of fuzziness aO
"JT
when the domain of discourse is order-dense. r d]HoFE
26. In Section 3, we describe the preliminary results of an empirical )_+"
study A42At]
currently in progress to verify the measurement model and to w|Zq5|[
construct membership functions. DBCL+QHA
27. In Section 5 is analyzed the inference process through the two #`z!f0
P
kinds of inference experiments... 7`X"B*`~b
This Section ,~K_rNNZ
1. In this section, the characteristics and environment under which b_V)]>v+
MRP is designed are described. Aplqxvth
2. We will provide in this section basic terminologies and notations 'ZT!a]4
which are necessary for the understanding of subsequent results. m>:%[vm
Next Section
-rH4/Iby
2. The next section describes the mathematics that goes into the 5*g@;aR1
computer implementation of such fuzzy logic statements. H _3gVrP_
3. However, it is cumbersome for this purpose and in practical wO8^|Yf
applications the formulae were rearranged and simplified as /unOZVr(
discussed in the next section. _nx|ZJ
4. The three components will be described in the next two section, 5R"b1
and an example of xx analysis of a computer information system will qh.c#t
M?
nnpO
then illustrate their use. B|, 6m 3.
5. We can interpret the results of Experiments I and II as in the uT-WQ/id
following sections.
r.K4<ly-N
6. The next section summarizes the method in a from that is useful <wE2ly&x
for arguments based on xx @~63%6r#4M
Summary W_sDF; JP
1. This paper concludes with a discussion of future research xVl90ak
consideration in section 5. l}O`cC
2. Section 5 summarizes the results of this investigation. /$9/,5|EA
3. Section 5 gives the conclusions and future directions of research. H}U&=w'
4. Section 7 provides a summary and a discussion of some extensions l^Lg"m2
of the paper. (|6q
N
5. Finally, conclusions and future work are summarized 3ZB;-F5v
6. The basic questions posed above are then discussed and ?` `+OH
conclusions are drawn. uq 6T|Zm
7. Section 7 is the conclusion of the paper. [j!0R'T
Chapter 0. Abstract (c}0Sg
1. A basic problem in the design of xx is presented by the choice of a gj'ar
xx rate for the measurement of experimental variables. vuAAaKz
2. This paper examines a new measure of xx in xx based on fuzzy r?[mn^Bo 5
mathematics which overcomes the difficulties found in other xx ($cu!$lY~
measures. Y]Fq)-
3. This paper describes a system for the analysis of the xx. /kJ*WA?J
4. The method involves the construction of xx from fuzzy relations. #g|j;{P
5. The procedure is useful in analyzing how groups reach a decision. !tbRqW6v
6. The technique used is to employ a newly developed and versatile {T^'&W>8G8
xx algorithm. }6S4yepl
7. The usefulness of xx is also considered. QyN~Crwo
8. A brief methodology used in xx is discussed. zm~~mz A
9. The analysis is useful in xx and xx problem. ]{"(l(
10. A model is developed for a xx analysis using fuzzy matrices. .xk<7^ZD
11. Algorithms to combine these estimates and produce a xx are >WD^)W fa
L;`
4
"
presented and justified. 43)9iDmJ8<
12. The use of the method is discussed and an example is given. BT#>b@Xub
13. Results of an experimental applications of this xx analysis ^Qr
P.l#pZ
procedure are given to illustrate the proposed technique. AnyFg)a<
14. This paper analyses problems in tEEhSG)s%
15. This paper outlines the functions carried out by ... 2h:f6=)r/u
16. This paper includes an illustration of the ... UMX+h])#N
17. This paper provides an overview and information useful for @t2 Q5c
approaching
y,r`8
18. Emphasis is placed on the construction of a criterion function by (Q4_3<G+
which the xx in achieving a hierarchical system of objectives are ,-1$Vh@wM
evaluated. 0Fw\iy1o
19. The main emphasis is placed on the problem of xx ^GAdl}
20. Our proposed model is verified through experimental study. bOFLI#p&
21. The experimental results reveal interesting examples of fuzzy V*m)h
phases of: xx, xx #wd \&
22. The compatibility of a project in terms of cost, and xx are likewise I[`2MKh
represented by linguistic variables. I L=v[)en4
23. A didactic example is included to illustrate the computational 6P~"7k
procedure 6^aYW#O<Ua
Chapter 1. Introduction _9@?Th&_e
Time vX/A9Qi,U.
1. Over the course of the past 30 years, .. has emerged form intuitive ygW@[^g
2. Technological revolutions have recently hit the industrial world q5!l(QL.
3. The advent of ... systems for has had a significant impact on the (XwLKkw0n
4. The development of ... is explored ^sOm7S {
5. During the past decade, the theory of fuzzy sets has developed in a PJYA5"}W
variety of directions RsD`9>6)
6.The concept of xx was investigated quite intensively in recent years }
>w
7. There has been a turning point in ... methodology in accordance LA?\~rh!
with the advent of ... i-FUAR
8. A major concern in ... today is to continue to improve... ],YYFU}
9. A xx is a latecomer in the part representation arena. NslA/"*
-n
*>zGc
10. At the time of this writing, there is still no standard way of xx u,akEvH~a
11. Although a lot of effort is being spent on improving these Doh|G:P]#
weaknesses, the efficient and effective method has yet to be 05KoxFO?
developed. UBi4 itGD
12. The pioneer work can be traced to xx [1965]. v|I5Gz$qpa
13. To date, none of the methods developed is perfect and all are far xNm32~
from ready to be used in commercial systems. p},Fwbl
Objective / Goal / Purpose i+[3o@
1. The purpose of the inference engine can be outlined as follows: dT)KvqX
2. The ultimate goal of the xx system is to allow the non-experts to >NRz*h #
utilize the existing knowledge in the area of manual handling of loads, v7(|K
and to provide intelligent, computer-aided instruction for xxx. MgQU6O<
3. The paper concerns the development of a xx b!X"2'
4. The scope of this research lies in W
Q}!]$<"y
5. The main theme of the paper is the application of rule-based .Sr:"S rT
decision making. p,iCM?[|
6. These objectives are to be met with such thoroughness and (bx\4Ws
confidence as to permit ... fHd!/%iG
7. The objectives of the ... operations study are as follows: `f+8WPJPZ
8. The primary purpose/consideration/objective of eq~c
9. The ultimate goal of this concept is to provide WYC1rfd=
10. The main objective of such a ... system is to Nr24[e
G>d
11. The aim of this paper is to provide methods to construct such >_`D3@Rz
probability distribution. aGe(vQPi9
12. In order to achieve these objectives, an xx must meet the 9*|3E"Vr
following requirements: ?JgO-.
13. In order to take advantage of their similarity pf8O`e,Awf
14. more research is still required before final goal of ... can be x$n~f:1Y
completed QM ZUt
15. In this trial, the objective is to generate... >HPvgR/#BY
16. for the sake of concentrating on ... research issues WY"Y)S
17. A major goal of this report is to extend the utilization of a recently ,|.8nk"
developed procedure for the xx. (9}eF)+O
aZj J]~bO
18. For an illustrative purpose, four well-known OR problems are S\9t4Ki_'
studied in presence of fuzzy data: xx. ov`^o25f
19. A major thrust of the paper is to discuss approaches and qByNHo7Tb
strategies for structuring ..methods Jq$_=X&
20. This illustration points out the need to specify l
Io9,Ke
21. The ultimate goal is both descriptive and prescriptive. UZje>.~?
22. Chapter 2. Literature Review 7}ws
|4Y
23. A wealth of information is to be found in the statistics literature, :}@C9pqr2
for example, regarding xx Q(|P
Zng
24. A considerable amount of research has been done .. during the ,-(T"Ph<
last decade _F`$ d2
25. A great number of studies report on the treatment of .tRr?*V|l
uncertainties associated with xx. {f+N]
Oo*
26. There is considerable amount of literature on planning ;)(Sdf[P
27. However, these studies do not provide much attention to I@0z/4H
``
uncertainty in xx. H2qf'
28. Since then, the subject has been extensively explored and it is J~Cc9"(
still under investigation as well in methodological aspects as in o84UFhm
concrete applications. Jd5\&ma
29. Many research studies have been carried out on this topic. Ih.rC>)rx
30. Problem of xx draws recently more and more attention of system ]} 61v
V
analysis. O'k+7y
31. Attempts to resolve this dilemma have resulted in the -S"5{ N73
development of oZTgN .q
32. Many complex processes unfortunately, do not yield to this S4cpQq.
design procedure and have, therefore, not yet been automated. {5^K Xj$B
33. Most of the methods developed so far are deterministic and /or j-7u>s-l
probabilistic in nature. pzp,t(%j
34. The central issue in all these studies is to CuH2E>wz
35. The problem of xx has been studied by other investigators, <W>++< -
however, these studies have been based upon classical statistical %2f//SZ:
approaches. [r)eP({
36. Applied ... techniques to *LANGQ"2(i
37. Characterized the ... system as 1y
J5l,q
i
AdGgK
38. Developed an algorithm to QK)){cK
39. Developed a system called ... which q:I$EpKf?Q
40. Uses an iterative algorithm to deduce ,`k_|//}=
41. Emphasized the need to =;0wFwSz
42. Identifies six key issues surrounding high technology YEv%C|l
43. A comprehensive study of the... has been undertaken !/`$AXO
44. Much work has been reported recently in these filed hoa7
45. Proposed/Presented/State that/Described/Illustrated/ ~C-,G"zw&G
Indicated/Has shown / showed/Address/Highlights b_TS<,
46. Point out that the problem of + WVIZZ8
47. A study on ...was done / developed by [] "w Af.=F
48. Previous work, such as [] and [], deal only with %Y]=1BRk}
49. The approach taken by [] is =-NiO@5o
50. The system developed by [] consists [}OgSP9i
51. A paper relevant to this research was published by [] ?+~cA^-3T
52. []'s model requires consideration of... <A>)[u
53. []' model draws attention to evolution in human development K_~h*Yc
54. []'s model focuses on... w]u@G-e
55. Little research has been conducted in applying ... to ZrO!L_/
56. The published information that is relevant to this research... qH>`}/,P
57. This study further shows that BecPT
58. Their work is based on the principle of a2w T6jY
59. More history of ... can be found in xx et al. [1979]. j'?7D0>
60. Studies have been completed to established 6KHN&P
61. The ...studies indicated that .pPm~2]z
62. Though application of xx in the filed of xx has proliferated in zce`\ /:
recent years, effort in analyzing xx, especially xx, is lacking. E<E3&;qD
Problem / Issue / Question YO+{,$
63. Unfortunately, real-world engineering problems such as 0nJE/JZ
manufacturing planning do not fit well with this narrowly defined d>0+A)6>
model. They tend to span broad activities and require consideration }|\d+V2On
of multiple aspects. 31WC=ur5
64. Remedy / solve / alleviate these problems oVvc?P
67. ... is a difficult problem, yet to be adequately resolved m8R9{LC
^EELaG
68. Two major problems have yet to be addressed 0 (U#)
69. An unanswered question '1?\/,em
70. This problem in essence involves using x to obtain a solution. hR#-u1C
71. An additional research issue to be tackled is .... ^3VR-u <O
72. Some important issues in developing a ... system are discussed 8:=
n*
73. The three prime issues can be summarized: sRSz}]
74. The situation leads to the problem of how to determine the ... dCyqvg6u
75. There have been many attempts to %`MQmXgM
76. It is expected to be serious barrier to fhPk
EvJ
77. It offers a simple solution in a limited domain for a complex ]\-^>!F #K
problem. N`@NiJ(O;
1. There are several ways to get around this problem. E 99hlY~1:
2. As difficult as it seems to be, xx is by no means new. ?eH&'m}-
3. The problem is to recognize xx from a design representation. r
={c,i
4. A xx problem can trace its roots to xx. T>TWU:
5. xx [1987] used a heuristic approach to simplify the complexity of <+MyZM(z>
the problem. %^sTU4D5
6. Several problems are associated with them. 4iAZ+l5&
7. Although some progress has been made in this area, at least two |-sPLU&s%
major obstacles must be overcome before a fully automated system pl@O
N"=[
can be realized. 1b=lpw1}
8. Most problems in practice are complicated E_Z{6&r
9. More problem surface here. \(226^|j
10. Hamper effort toward a xx system GjoIm?
11. In order to overcome the limitations due to incomplete and =qN2Xg/
imprecise xx knowledge, a xx program has been developed, which Uc/+gz
Z;
bases its knowledge upon the statistical analysis of a sample afjtn_IB
population of xx ]7-&V-Ct*
12. The above difficulties are real challenges faced by researchers coYij
attempting to develop ?X@fKAj
13. This type of mapping raises no controversy to the issue of %X#zj"
membership function determination. f{SB1M
14. However, attempts to quantify the xx have met both theoretical [MuEoWrq(}
and empirical problems. I*9e]m"
vJAZ%aW
15. It has become apparent that in order to apply this new 3?Y 2L
methodological framework to real-world problems and data, we have ]Q[p@gLd
to pay attention to the problems of xx and xx. +`?Y?L^
J
Chapter 3. Proposed methodology hiNEJ_f
Assumption ^vG8#A}]
1. In the case when the assumption of a xx seems to be too mPq$?gdp
restrictive or inadequate, the formulation with Fuzzy termination d)~Fmi;
time, i.e. given by a fuzzy set in the space of control stages, may be sz9L8f2
applied. OY?y ^45y
2. We assume here the fuzzy constraints to be state-dependent, and N},n `Yl.
the fuzzy goal to be the same for all the control states, xx, which 0uBl>A7qhn
stems from the problem's nature. `xrmT t
X
3. An approach to the solution of this problem is presented under the 1sYEZO;
assumption that the sampling rate Decision can be made prior to the GR\5WypoJ
execution of the experiment, as opposed to being made while the OyqNLR
experiment is in progress. Bn>8&
w/P
4. Another assumption made above is that there are precise odds at *L!!]Q2c
which the expert is indifferent. }NsUnbxT
5. Main simplifying assumptions are: HF3f)}l$
6. This, in our view, is a questionable assumption. \>Efd
Outline / Structure / Module
D %JlbH8
1. An outline of the research ^iQn'++Q
2. Information is incorporated within the scheme $+7`Dy!
3. Is built into ... structure ,^S@
EDq
4. A nice modular structure. m*mm\wN5
5. The principles of ... are applied as modularized criteria Q,80 Hor#J
Classification Ld B($4,
1. A xx system comprises three main components: u :
F~K
2. Must decompose the original .. into a set of .. =|=.>?t6Z0
3. Consists of the following steps: @BNEiOAZ#
4. This is summarized in the following steps: ^ "\R\COQ
`c'W-O/
5. Can be broadly classified into the following areas: UUMtyf
6. Can be characterized by its function of effectively processing the S(7ro]U9
7. Can allow further breadth of application of ...into more h&kZjQ&
8. The following steps should be followed +S=Rn,
9. xx can be classified by a different ways. yS=oUE$
10. Based on the xx, one may classify xx into the following: MCdx?m3]
11. This catalog may change due to wear, breakage, and purchasing. ~@kU3ZGJZ
System .$#r
V?7
1. Unlike many conventional program, expert systems do not YZ+RWu9K
usually deal with problem for which there is clearly a right or wrong ~(]0k.\
answer. asC_$tsMe
2. The system consists of both ... and ... I<A6Z&*un
3. The system has a hierarchical modular architecture organized on *OyHHq|>q
three levels. D_8x6`z
4. expert system domains are area of expertise 5 QO34t2
5. To develop a xx system for xx, the following factors must be kkK
kf
'
considered: 5pn)yk~
6. The system has been developed / designed to determine }Nb8}(6
7. The system has proven to be able to 7-BvFEM;
8. The domain in which an expert system operates is a particular ;vb8G$
domain !`7B^RZ
9. The system comprises a ... with uWrQ&}@
10. The system is [feature-oriented ] / based on the ... technique ?@n/v
F
11. The system environment must be relatively stable h`MF#617
12. The system is utilized to generate, load, store, update and 3su78e t}
retrieve ... q=lAb\i
13. The development of a xx system has two stages: xx stage and xx %K]euEqs
stage. TYA~#3G)
14. The most essential part of .. system is the ... IMk'#)
15. The successful developments in ESs have made them an Zec <m8~
important tool in the development of YA&g$!
16. An automated system was developed for f}D1|\7
17. In this case, the system can be considered to be generative.
RDtU43
boo
}u
18. An interactive automatic ... system o:6@Kw^
19. A …. is commonly thought of as a truly integrated .. system |!F5.%PY
20. Should be capable of being generated from a ... system -)~SM&
21. xx is an important part of the integrated system. nbG/c80
22. The model consists of four rule bases, each of which addresses a . <tq61
separate problem in the hierarchy of scheduling decision. hkOsm6
23. The rule bases are linked to each other in a chin-like manner in 2On_'^O
the sense that the consequent of one rule base constitutes a part of P4T h_B7
the antecedent of the next rule base. G7=pBf
24. The rule base consists of all possible combinations of the `EtS!zD~b
linguistic terms associated with the linguistic variable of the O 1oxZj
<
antecedent of a rule. {Ha8]y
Computer System dik9 >*"|o
1. The system has been implemented using Prolog language in an lH
ZU iB
MS-DOS environment. Prolog was chosen because it offers a well 2!Bd2
known and flexible environment in which fuzzy reasoning may be >Yt/]ta4+
easily implemented. &
/4k7X}y
2. The current version of the xx program when compiled with 2r%lA\,h$
WATFOR77 results in an executable code of about 270K bytes. ejA%%5q
Typical run time, when run on a XX computer (an IBM compatible $'pNp
B#vH
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min W>b(Om_%
to 2h, depending on the size (or complexity) of the problem. *.&