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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.1 / Chapter Chapter 2. --- A Brief Review on Fuzzy Set Theory --- p.3 / Chapter 2.1. --- The Concept of Fuzzy Set Theory --- p.3 / Chapter 2.2. --- Fundamental Operations on Fuzzy Sets --- p.4 / Chapter 2.3. --- Two Approaches to Investigate Fuzzy Set Theory --- p.6 / Chapter Chapter 3. --- The Interpretation of the Membership Function --- p.7 / Chapter 3.1. --- Review and Comparison of the Interpretation of the Membership Values --- p.7 / Chapter 3.1.1. --- Interpretation in terms of Betting / Chapter 3.1.2. --- Interpretation in terms of Payoff Function / Chapter 3.1.3. --- Interpretation in terms of Amount of Relevant Attribute / Chapter 3.1.4. --- Interpretation in terms of the TEE Model / Chapter 3.1.5. --- Interpretation in terms of a Measurement Model / Chapter 3.1.6. --- Interpretation in terms of Prototype Theory / Chapter 3.2. --- Discussion about Membership Function --- p.29 / Chapter Chapter 4. --- Estimation of the Membership Function --- p.33 / Chapter 4.1. --- The Data Collection Methods for the Estimation of the Membership Function --- p.34 / Chapter 4.1.1. --- Direct Rating / Chapter 4.1.2. --- Polling / Chapter 4.1.3. --- Set-valued Statistics / Chapter 4.1.4. --- Reverse Rating / Chapter 4.2. --- Estimation Procedures for the Membership Function and their Characteristics --- p.36 / Chapter 4.2.1. --- Non-parametric Estimation Procedures / Chapter 4.2.2. --- The Characteristics of the Non-parametric Estimation Procedures / Chapter 4.2.3. --- Parametric Estimation Procedures / Chapter 4.3. --- Connections between the Four Data Collection Methods --- p.58 / Chapter 4.3.1. --- Connection between Direct Rating and Polling / Chapter 4.3.2. --- Connection between Polling and Reverse Rating / Chapter 4.3.3. --- Connection between Reverse Rating and Set-valued Statistics / Chapter 4.4. --- Other Estimation Procedures --- p.71 / Chapter 4.4.1. --- Procedure based on Saaty's Matrix / Chapter 4.4.2. --- Procedure based on Mabuchi's Interpretation of the Membership Function / Chapter 4.5. --- The Survey --- p.77 / Chapter 4.5.1. --- Introduction of the Survey / Chapter 4.5.2. --- The Result of the Survey / Chapter 4.5.3. --- An Approach to reduce the 'bias' in Polling / Chapter 4.5.4. --- Advice to Researchers / Chapter Chapter 5. --- Discussion --- p.97 / References --- p.100 / Appendix: Questionnaire

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_319112
Date January 1993
ContributorsChow, Kan Shing., Chinese University of Hong Kong Graduate School. Division of Statistics.
PublisherChinese University of Hong Kong
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 103, [4] leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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