Interpretation and estimation of membership functions.

• Other Authors: Chow, Kan Shing.
• Format: Others
• Language: English
• Published: Chinese University of Hong Kong 1993
• Subjects: Fuzzy sets
• Online Access: http://library.cuhk.edu.hk/record=b5887845; http://repository.lib.cuhk.edu.hk/en/item/cuhk-319112

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