ACKNOWLEDGEMENTS | 第3-7页 |
CHAPTER 1 INTRODUCTION | 第7-13页 |
1.1 The Problem | 第7-10页 |
1.2 Objectives of This Study | 第10-11页 |
1.3 Presentation of The Thesis | 第11-13页 |
CHAPTER 2 An Introduction To Fuzzy Decision Making | 第13-28页 |
2.1 Some Basic Concepts | 第14-19页 |
2.2 Fuzzy Linear Programming | 第19-26页 |
2.2.1 Linear Programming With Fuzzy Goals and Fuzzy Constraints | 第20-24页 |
2.2.1.1 Symmetrical Models | 第20-22页 |
2.2.1.2 Asymmetrical Models | 第22-24页 |
2.2.2 Linear Programming With Fuzzy Coefficients | 第24-26页 |
References | 第26-28页 |
CHAPTER 3 COMPARISON OF FUZZY SETS | 第28-79页 |
3.1 A Review of Approaches for Ranking Fuzzy Sets in The Literature | 第29-63页 |
3.1.1 Classification of The Approaches | 第29-30页 |
3.1.2 Mathematical Approaches | 第30-59页 |
3.1.2.1 Possibilistic Approaches | 第31-47页 |
3.1.2.2 Probabilistic Approaches | 第47-58页 |
3.1.2.3 Concluding Remarks | 第58-59页 |
3.1.3 Linguistic Approaches | 第59-63页 |
3.2 A New Approach Based on The Probability Measure of Fuzzy Events | 第63-75页 |
3.2.1 Probability Measure of Fuzzy Events | 第64-65页 |
3.2.2 Ranking Fuzzy Sets Based on Probability Measure | 第65-68页 |
3.2.3 A Relationship Between The Two Comparison Indices Based on Possibility Theory | 第68-69页 |
3.2.4 Relationships With The Indices of Yager and Kaufmann | 第69-70页 |
3.2.5 Ranking Random Fuzzy Sets | 第70-71页 |
3.2.6 Extensions To The Ranking of Fuzzy Subsets | 第71-72页 |
3.2.7 An Illustrative Example | 第72-75页 |
References | 第75-79页 |
CHAPTER 4 FUZZY OPTIMIZATION OF A GIVEN SYSTEM | 第79-153页 |
4.1 Fuzzy Approach To Traditional MODM | 第79-122页 |
4.1.1 An Introduction To LMOP | 第80-86页 |
4.1.2 An Introduction To Fuzzy Approach | 第86-93页 |
4.1.2.1 Membership Functions | 第87-88页 |
4.1.2.2 Aggregation of Fuzzy Goals | 第88-91页 |
4.1.2.3 Zimmermann's Methodology | 第91-93页 |
4.1.3 Relationships Between, and Drawbacks of The Traditional Approach and The Fuzzy Approach | 第93-99页 |
4.1.4 Compensatory Operators | 第99-106页 |
4.1.5 Concluding Remarks and New Approach To LMOP | 第106-110页 |
4.1.6 Nonlinear Membership Functions | 第110-122页 |
4.1.6.1 Liberling's Hyperbolic Membership Function | 第111-113页 |
4.1.6.2 An Exponential Membership Function | 第113-115页 |
4.1.6.3 Max-Min Version With Exponential Membership Function | 第115-119页 |
4.1.6.4 Max-Product Version With Exponential Membership Function | 第119-121页 |
4.1.6.5 The Relationships Between Models With Linear and Exponential Membership Functions | 第121-122页 |
4.2 Fuzzy Multiple Objective Decision Making | 第122-148页 |
4.2.1 Multiobjective Programming With Fuzzy Goals and Fuzzy Constraints | 第122-125页 |
4.2.2 Multiobjective Programming With Fuzzy Parameters | 第125-148页 |
4.2.2.1 A Review of Some Approaches in The Literature | 第126-133页 |
4.2.2.2 The modified Two-phase Approach | 第133-148页 |
References | 第148-153页 |
CHAPTER 5 FUZZY OPTIMAL SYSTEM DESIGN | 第153-189页 |
5.1 An Introduction To De Novo Programming | 第153-156页 |
5.2 Zeleny's Algorithm | 第156-162页 |
5.3 Fuzzy Approaches for Solving De Novo Problems | 第162-174页 |
5.4 Fuzzy De Novo Programming | 第174-184页 |
5.5 Concluding Remarks | 第184-186页 |
References | 第186-189页 |
CHAPTER 6 SUMMARY OF STUDY AND FUTURE PERSPECTIVES | 第189-193页 |
6.1 Summary of The Study | 第189-192页 |
6.2 Future Perspectives | 第192-193页 |
References | 第193页 |