Beginning
1. In this paper, we focus on the need for
2. This paper
proceeds as follow.
3. The structure of the paper is as follows.
4. In
this paper, we shall first briefly introduce fuzzy sets and related concepts
5. To begin with we will provide a brief background on the
Introduction
1. This will be followed by a description of the fuzzy
nature of the problem and a detailed presentation of how the required membership
functions are defined.
2. Details on xx and xx are discussed in later
sections.
3. In the next section, after a statement of the basic problem,
various situations involving possibility knowledge are investigated: first, an
entirely possibility model is proposed; then the cases of a fuzzy service time
with stochastic arrivals and non fuzzy service rule is studied; lastly, fuzzy
service rule are considered.
Review
1. This review is followed by an
introduction.
2. A brief summary of some of the relevant concepts in xxx and
xxx is presented in Section 2.
3. In the next section, a brief review of the
.... is given.
4. In the next section, a short review of ... is given with
special regard to ...
5. Section 2 reviews relevant research related to xx.
6. Section 1.1 briefly surveys the motivation for a methodology of action,
while 1.2 looks at the difficulties posed by the complexity of systems and
outlines the need for development of possibility methods.
Body
1.
Section 1 defines the notion of robustness, and argues for its importance.
2. Section 1 devoted to the basic aspects of the FLC decision making logic.
3. Section 2 gives the background of the problem which includes xxx
4.
Section 2 discusses some problems with and approaches to, natural language
understanding.
5. Section 2 explains how flexibility which often ... can be
expressed in terms of fuzzy time window
6. Section 3 discusses the aspects
of fuzzy set theory that are used in the ...
7. Section 3 describes the
system itself in a general way, including the ….. and also discusses how to
evaluate system performance.
8. Section 3 describes a new measure of xx.
9. Section 3 demonstrates the use of fuzzy possibility theory in the
analysis of xx.
10. Section 3 is a fine description of fuzzy formulation of
human decision.
11. Section 3, is developed to the modeling and processing
of fuzzy decision rules
12. The main idea of the FLC is described in Section
3 while Section 4 describes the xx strategies.
13. Section 3 and 4 show
experimental studies for verifying the proposed model.
14. Section 4
discusses a previous fuzzy set based approach to cost variance investigation.
15. Section 4 gives a specific example of xxx.
16. Section 4 is the
experimental study to make a fuzzy model of memory process.
17. Section 4
contains a discussion of the implication of the results of Section 2 and 3.
18. Section 4 applies this fuzzy measure to the analysis of xx and
illustrate its use on experimental data.
19. Section 5 presents the primary
results of the paper: a fuzzy set model ..
20. Section 5 contains some
conclusions plus some ideas for further work.
21. Section 6 illustrates the
model with an example.
22. Various ways of justification and the reasons for
their choice are discussed very briefly in Section 2.
23. In Section 2 are
presented the block diagram expression of a whole model of human DM system
24. In Section 2 we shall list a collection of basic assumptions which a ...
scheme must satisfy.
25. In Section 2 of this paper, we present
representation and uniqueness theorems for the fundamental measurement of
fuzziness when the domain of discourse is order dense.
26. In Section 3, we
describe the preliminary results of an empirical study currently in progress to
verify the measurement model and to construct membership functions.
27. In
Section 5 is analyzed the inference process through the two kinds of inference
experiments...
This Section
1. In this section, the characteristics and
environment under which MRP is designed are described.
2. We will provide in
this section basic terminologies and notations which are necessary for the
understanding of subsequent results.Next Section
2. The next section
describes the mathematics that goes into the computer implementation of such
fuzzy logic statements.
3. However, it is cumbersome for this purpose and in
practical applications the formulae were rearranged and simplified as discussed
in the next section.
4. The three components will be described in the next
two section, and an example of xx analysis of a computer information system will
then illustrate their use.
5. We can interpret the results of Experiments I
and II as in the following sections.
6. The next section summarizes the
method in a from that is useful for arguments based on xx
Summary
1.
This paper concludes with a discussion of future research consideration in
section 5.
2. Section 5 summarizes the results of this investigation.
3.
Section 5 gives the conclusions and future directions of research.
4.
Section 7 provides a summary and a discussion of some extensions of the paper.
5. Finally, conclusions and future work are summarized
6. The basic
questions posed above are then discussed and conclusions are drawn.
7.
Section 7 is the conclusion of the paper.
Chapter 0/Abstract
1. A
basic problem in the design of xx is presented by the choice of a xx rate for
the measurement of experimental variables.
2. This paper examines a new
measure of xx in xx based on fuzzy mathematics which overcomes the difficulties
found in other xx measures.
3. This paper describes a system for the
analysis of the xx.
4. The method involves the construction of xx from fuzzy
relations.
5. The procedure is useful in analyzing how groups reach a
decision.
6. The technique used is to employ a newly developed and versatile
xx algorithm.
7. The usefulness of xx is also considered.
8. A brief
methodology used in xx is discussed.
9. The analysis is useful in xx and xx
problem.
10. A model is developed for a xx analysis using fuzzy matrices.
11. Algorithms to combine these estimates and produce a xx are presented and
justified.
12. The use of the method is discussed and an example is given.
13. Results of an experimental applications of this xx analysis procedure
are given to illustrate the proposed technique.
14. This paper analyses
problems in
15. This paper outlines the functions carried out by ...
16.
This paper includes an illustration of the ...
17. This paper provides an
overview and information useful for approaching
18. Emphasis is placed on
the construction of a criterion function by which the xx in achieving a
hierarchical system of objectives are evaluated.
19. The main emphasis is
placed on the problem of xx
20. Our proposed model is verified through
experimental study.
21. The experimental results reveal interesting examples
of fuzzy phases of: xx, xx
22. The compatibility of a project in terms of
cost, and xx are likewise represented by linguistic variables.
23. A
didactic example is included to illustrate the computational procedure
Chapter 1/ Introduction
Time
1. Over the course of the past 30
years, .. has emerged form intuitive
2. Technological revolutions have
recently hit the industrial world
3. The advent of ... systems for has had a
significant impact on the
4. The development of ... is explored
5.
During the past decade, the theory of fuzzy sets has developed in a variety of
directions
6.The concept of xx was investigated quite intensively in recent
years
7. There has been a turning point in ... methodology in accordance
with the advent of ...
8. A major concern in ... today is to continue to
improve...
9. A xx is a latecomer in the part representation arena.
10.
At the time of this writing, there is still no standard way of xx
11.
Although a lot of effort is being spent on improving these weaknesses, the
efficient and effective method has yet to be developed.
12. The pioneer work
can be traced to xx [1965].
13. To date, none of the methods developed is
perfect and all are far from ready to be used in commercial systems.
Objective / Goal / Purpose
1. The purpose of the inference engine
can be outlined as follows:
2. The ultimate goal of the xx system is to
allow the non experts to utilize the existing knowledge in the area of manual
handling of loads, and to provide intelligent, computer aided instruction for
xxx.
3. The paper concerns the development of a xx
4. The scope of this
research lies in
5. The main theme of the paper is the application of rule
based decision making.
6. These objectives are to be met with such
thoroughness and confidence as to permit ...
7. The objectives of the ...
operations study are as follows:
8. The primary
purpose/consideration/objective of
9. The ultimate goal of this concept is
to provide
10. The main objective of such a ... system is to
11. The aim
of this paper is to provide methods to construct such probability distribution.
12. In order to achieve these objectives, an xx must meet the following
requirements:
13. In order to take advantage of their similarity
14.
more research is still required before final goal of ... can be completed
15. In this trial, the objective is to generate...
16. for the sake of
concentrating on ... research issues
17. A major goal of this report is to
extend the utilization of a recently developed procedure for the xx.
18. For
an illustrative purpose, four well known OR problems are studied in presence of
fuzzy data: xx.
19. A major thrust of the paper is to discuss approaches and
strategies for structuring ..methods
20. This illustration points out the
need to specify
21. The ultimate goal is both descriptive and prescriptive.
Chapter 2/Literature Review
1. A wealth of information is to be
found in the statistics literature, for example, regarding xx
2. A
considerable amount of research has been done .. during the last decade
3.
A great number of studies report on the treatment of uncertainties associated
with xx.
4. There is considerable amount of literature on planning
5.
However, these studies do not provide much attention to uncertainty in xx.
6. Since then, the subject has been extensively explored and it is still
under investigation as well in methodological aspects as in concrete
applications.
7. Many research studies have been carried out on this topic.
8. Problem of xx draws recently more and more attention of system analysis.
9. Attempts to resolve this dilemma have resulted in the development of
10. Many complex processes unfortunately, do not yield to this design
procedure and have, therefore, not yet been automated.
11. Most of the
methods developed so far are deterministic and /or probabilistic in nature.
12. The central issue in all these studies is to
13. The problem of xx
has been studied by other investigators, however, these studies have been based
upon classical statistical approaches.
14. Applied ... techniques to
15.
Characterized the ... system as
16. Developed an algorithm to
17.
Developed a system called ... which
18. Uses an iterative algorithm to
deduce
19. Emphasized the need to
20. Identifies six key issues
surrounding high technology
21. A comprehensive study of the... has been
undertaken
22. Much work has been reported recently in these filed
23.
Proposed/Presented/State that/Described/Illustrated/ Indicated/Has shown /
showed/Address/Highlights
24. Point out that the problem of
25. A study
on ...was done / developed by []
26. Previous work, such as [] and [], deal
only with
27. The approach taken by [] is
28. The system developed by []
consists
29. A paper relevant to this research was published by []
30.
[]'s model requires consideration of...
53. []' model draws attention to
evolution in human development
54. []'s model focuses on...
55. Little
research has been conducted in applying ... to
56. The published information
that is relevant to this research...
57. This study further shows that
58. Their work is based on the principle of
59. More history of ... can
be found in xx et al. [1979].
60. Studies have been completed to established
61. The ...studies indicated that
62. Though application of xx in the
filed of xx has proliferated in recent years, effort in analyzing xx, especially
xx, is lacking.
Problem / Issue / Question
63. Unfortunately, real-world
engineering problems such as manufacturing planning do not fit well with this
narrowly defined model. They tend to span broad activities and require
consideration of multiple aspects.
64. Remedy / solve / alleviate these
problems
67. ... is a difficult problem, yet to be adequately resolved
68. Two major problems have yet to be addressed
69. An unanswered
question
70. This problem in essence involves using x to obtain a solution.
71. An additional research issue to be tackled is ....
72. Some
important issues in developing a ... system are discussed
73. The three
prime issues can be summarized:
74. The situation leads to the problem of
how to determine the ...
75. There have been many attempts to
76. It is
expected to be serious barrier to
77. It offers a simple solution in a
limited domain for a complex