Interpretation and estimation of membership functions.

by Chow Kan Shing.Includes questionnaire in Chinese.Thesis (M.Phil.)--Chinese University of Hong Kong, 1993.Includes bibliographical references (leaves 100-103).Chapter Chapter 1. --- Introduction --- p.1Chapter Chapter 2. --- A Brief Review on Fuzzy Set Theory --- p.3Chapter 2.1. --- The Concept of Fuzzy Set Theory --- p.3Chapter 2.2. --- Fundamental Operations on Fuzzy Sets --- p.4Chapter 2.3. --- Two Approaches to Investigate Fuzzy Set Theory --- p.6Chapter Chapter 3. --- The Interpretation of the Membership Function --- p.7Chapter 3.1. --- Review and Comparison of the Interpretation of the Membership Values --- p.7Chapter 3.1.1. --- Interpretation in terms of BettingChapter 3.1.2. --- Interpretation in terms of Payoff FunctionChapter 3.1.3. --- Interpretation in terms of Amount of Relevant AttributeChapter 3.1.4. --- Interpretation in terms of the TEE ModelChapter 3.1.5. --- Interpretation in terms of a Measurement ModelChapter 3.1.6. --- Interpretation in terms of Prototype TheoryChapter 3.2. --- Discussion about Membership Function --- p.29Chapter Chapter 4. --- Estimation of the Membership Function --- p.33Chapter 4.1. --- The Data Collection Methods for the Estimation of the Membership Function --- p.34Chapter 4.1.1. --- Direct RatingChapter 4.1.2. --- PollingChapter 4.1.3. --- Set-valued StatisticsChapter 4.1.4. --- Reverse RatingChapter 4.2. --- Estimation Procedures for the Membership Function and their Characteristics --- p.36Chapter 4.2.1. --- Non-parametric Estimation ProceduresChapter 4.2.2. --- The Characteristics of the Non-parametric Estimation ProceduresChapter 4.2.3. --- Parametric Estimation ProceduresChapter 4.3. --- Connections between the Four Data Collection Methods --- p.58Chapter 4.3.1. --- Connection between Direct Rating and PollingChapter 4.3.2. --- Connection between Polling and Reverse RatingChapter 4.3.3. --- Connection between Reverse Rating and Set-valued StatisticsChapter 4.4. --- Other Estimation Procedures --- p.71Chapter 4.4.1. --- Procedure based on Saaty's MatrixChapter 4.4.2. --- Procedure based on Mabuchi's Interpretation of the Membership FunctionChapter 4.5. --- The Survey --- p.77Chapter 4.5.1. --- Introduction of the SurveyChapter 4.5.2. --- The Result of the SurveyChapter 4.5.3. --- An Approach to reduce the 'bias' in PollingChapter 4.5.4. --- Advice to ResearchersChapter Chapter 5. --- Discussion --- p.97References --- p.100Appendix: Questionnair