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 andrelated 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 ofthe problem and a detailed presentation of how the required membershipfunctions 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, anentirely possibility model is proposed; then the cases of a fuzzy service timewith stochastic arrivals and non fuzzy service rule is studied; lastly, fuzzyservice rule are considered.

Review

1. This review is followed by an introduction.

2. A brief summary of some of the relevant concepts in xxx andxxx is presented in Section 2.

3. In the next section, a brief review of the …. is given.

4. In the nextsection, 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 methodologyof action, while 1.2 looks at the difficulties posed by the complexity ofsystems and outlines the need for development of possibility methods.

Body

1. Section 1 defines the notion of robustness, and argues for itsimportance.

2. Section 1 devoted to the basic aspects of the FLC decisionmaking logic.

3. Section 2 gives the background of the problem which includesxxx

4. Section 2 discusses some problems with and approaches to,natural language understanding.

5. Section 2 explains how flexibility which often … can beexpressed in terms of fuzzy time window

6. Section 3 discusses the aspects of fuzzy set theory that areused in the …

7. Section 3 describes the system itself in a general way, includingthe ….. 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 inthe analysis of xx.

10. Section 3 is a fine description of fuzzy formulation of humandecision.

11. Section 3, is developed to the modeling and processing offuzzy decision rules

12. The main idea of the FLC is described in Section 3 whileSection 4 describes the xx strategies.

13. Section 3 and 4 show experimental studies for verifying theproposed model.

14. Section 4 discusses a previous fuzzy set based approach tocost variance investigation.

15. Section 4 gives a specific example of xxx.

16. Section 4 is the experimental study to make a fuzzy model ofmemory process.

17. Section 4 contains a discussion of the implication of theresults of Section 2 and 3.

18. Section 4 applies this fuzzy measure to the analysis of xxand illustrate its use on experimental data.

19. Section 5 presents the primary results of the paper: a fuzzyset model ..

20. Section 5 contains some conclusions plus some ideas forfurther work.

21. Section 6 illustrates the model with an example.

22. Various ways of justification and the reasons for their choiceare discussed very briefly in Section 2.

23. In Section 2 are presented the block diagram expression of awhole model of human DM system

24. In Section 2 we shall list a collection of basic assumptionswhich a … scheme must satisfy.

25. In Section 2 of this paper, we present representation anduniqueness theorems for the fundamental measurement of fuzziness when thedomain of discourse is order dense.

26. In Section 3, we describe the preliminary results of anempirical study currently in progress to verify the measurement model and to

construct membershipfunctions.

27. In Section 5 is analyzed the inference process through thetwo kinds of inference experiments…

This Section

1. In this section, the characteristics and environment underwhich MRP is designed are described.

2. We will provide in this section basic terminologies andnotations which are necessary for the understanding of subsequent results.NextSection

2. The next section describes the mathematics that goes into thecomputer implementation of such fuzzy logic statements.

3. However, it is cumbersome for this purpose and in practicalapplications the formulae were rearranged and simplified as discussed in thenext section.

4. The three components will be described in the next twosection, and an example of xx analysis of a computer information system willthen illustrate their use.

5. We can interpret the results of Experiments I and II as in thefollowing sections.

6. The next section summarizes the method in a from that isuseful for arguments based on xx

Summary

1. This paper concludes with a discussion of future researchconsideration in section 5.

2. Section 5 summarizes the results of this investigation.

3. Section 5 gives the conclusions and future directions ofresearch.

4. Section 7 provides a summary and a discussion of someextensions of the paper.

5. Finally, conclusions and future work are summarized

6. The basic questions posed above are then discussed andconclusions 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 choiceof a xx rate for the measurement of experimental variables.

2. This paper examines a new measure of xx in xx based on fuzzymathematics 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 adecision.

6. The technique used is to employ a newly developed andversatile 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 tocombine 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 analysisprocedure 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 forapproaching

18. Emphasis is placed on the construction of a criterionfunction by which the xx in achieving a hierarchical system of objectives areevaluated.

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 fuzzyphases of: xx, xx

22. The compatibility of a project in terms of cost, and xx arelikewise represented by linguistic variables.

23. A didactic example is included to illustrate thecomputational procedure

Chapter 1. Introduction

Time

1. Over the course of the past 30 years, .. has emerged formintuitive

2. Technological revolutions have recently hit the industrialworld

3. The advent of … systems for has had a significant impact onthe

4. The development of … is explored

5. During the past decade, the theory of fuzzy sets has developedin a variety of directions

6.The concept of xx was investigated quite intensively in recentyears

7. There has been a turning point in … methodology inaccordance 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 wayof xx

11. Although a lot of effort is being spent on improving theseweaknesses, 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 arefar from ready to be used in commercial systems.

1. The purpose of the inference engine can be outlined asfollows:

2. The ultimate goal of the xx system is to allow the non expertsto utilize the existing knowledge in the area of manual handling of loads, andto 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 baseddecision making.

6. These objectives are to be met with such thoroughness andconfidence 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 suchprobability distribution.

12. In order to achieve these objectives, an xx must meet thefollowing requirements:

13. In order to take advantage of their similarity

14. more research is still required before final goal of … canbe 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 arecently developed procedure for the xx.

18. For an illustrative purpose, four well known OR problems arestudied in presence of fuzzy data: xx.

19. A major thrust of the paper is to discuss approaches andstrategies for structuring ..methods

20. This illustration points out the need to specify

21. The ultimate goal is both descriptive and prescriptive.

22. Chapter 2. Literature Review

23. A wealth of information is to be found in the statisticsliterature, for example, regarding xx

24. A considerable amount of research has been done .. during thelast decade

25. A great number of studies report on the treatment ofuncertainties associated with xx.

26. There is considerable amount of literature on planning

27. However, these studies do not provide much attention touncertainty in xx.

28. Since then, the subject has been extensively explored and itis still under investigation as well in

methodological aspects as in concrete applications.

29. Many research studies have been carried out on this topic.

30. Problem of xx draws recently more and more attention ofsystem analysis.

31. Attempts to resolve this dilemma have resulted in thedevelopment of

32. Many complex processes unfortunately, do not yield to thisdesign procedure and have, therefore, not yet been automated.

33. Most of the methods developed so far are deterministic and/or probabilistic in nature.

34. The central issue in all these studies is to

35. The problem of xx has been studied by other investigators,however, these studies have been based upon classical statistical approaches.

36. Applied … techniques to

37. Characterized the … system as

38. Developed an algorithm to

39. Developed a system called … which

40. Uses an iterative algorithm to deduce

41. Emphasized the need to

42. Identifies six key issues surrounding high technology

43. A comprehensive study of the… has been undertaken

44. Much work has been reported recently in these filed

45. Proposed/Presented/State that/Described/Illustrated/

Indicated/Has shown / showed/Address/Highlights

46. Point out that the problem of

47. A study on …was done / developed by []

48. Previous work, such as [] and [], deal only with

49. The approach taken by [] is

50. The system developed by [] consists

51. A paper relevant to this research was published by []

52. []‘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 thisresearch…

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 proliferatedin recent years, effort in analyzing xx, especially xx, is lacking.

Problem / Issue / Question

63. Unfortunately, real-world engineering problems such asmanufacturing planning do not fit well with this narrowly defined model. Theytend 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 asolution.

71. An additional research issue to be tackled is ….

72. Some important issues in developing a … system arediscussed

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 acomplex

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