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    useful expressions for paper writing.docx

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    useful expressions for paper writing.docx

    1、useful expressions for paper writing2. 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 concepts5. To begin with we will provide a brief background on theIntroduction 1. This will be followed by a desc

    2、ription 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

    3、 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 re

    4、levant 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

    5、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

    6、 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 th

    7、e 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 anal

    8、ysis of xx10. 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 experim

    9、ental 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 discuss

    10、ion 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 f

    11、or 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

    12、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 a

    13、n 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 experimentsThis Section 1. In this section, the characteristics and environment under which MRP is desi

    14、gned 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, i

    15、t 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 us

    16、e. 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 xSummary 1. This paper concludes with a discussion of future research consideration in section 5. 2. Section 5 summarizes

    17、 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

    18、 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 over

    19、comes 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

    20、 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 pre

    21、sented 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 . 1

    22、6. 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 place

    23、d 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 examp

    24、le is included to illustrate the computational procedureChapter 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 dev

    25、elopment 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 .

    26、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. Th

    27、e 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 t

    28、he 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 base

    29、d 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

    30、. 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

    31、 . 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 strategie


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