دانلود کتاب An Introduction to Fuzzy Sets

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Contents Preface Chapter 1 Quality of Life: Urban versus Rural Analysis Based on Fuzzy Sets Approach Abstract Introduction Methods Results Factor Analysis Causal Analysis Conclusion Acknowledgments References Biographical Sketches Chapter 2 Economically Speaking, Are Happiness and HDI the Same? The Fuzzy-Set Approach Abstract 1. Introduction 2. Data and Methods 2.1. The Data 2.2. Methods 3. Results 3.1. Factor Analysis Fuzzy Set Analysis Conclusion References Biographical Sketches Chapter 3 Implementation of Fuzzy Logic and Neuro-Fuzzy in Industry Abstract Introduction Applications of Fuzzy Logic in Industrial Engineering Mathematical Preliminaries Definition 1 (Fuzzy Variable) Definition 2 (Fuzzy Number) Remark Definition 3 (Fuzzy Derivative) Fuzzy If-Then Rules Background and Related Work Fuzzy Expert System Advantageous and Drawbacks of Fuzzy Based Systems Example of Fuzzy Logic Technique Applications of Neuro-Fuzzy in Industrial Engineering Neural Systems Biological Neural Network Artificial Neural Networks Background and Related Work Example of Neuro-Fuzzy Technique Conclusion References Chapter 4 Lotfi Zadeh’s Theory of Fuzzy Sets in Decision-Making Process for Oil and Gas Production Annotation References Chapter 5 Fuzziness-Randomness Modeling of Plasma Disruption in First Wall of Fusion Reactor Using Type I Fuzzy Random Set Abstract 1. Introduction 2. The First Wall of Fusion Reactor 2.1. Physical Structure 2.2. Mathematical Modeling of Heat Generation in First Wall 2.3. Melting of Solid Region (First Wall) 2.4. Evaporation of Solid Region (First Wall) 2.5. Alpha Cut of a Fuzzy Variable and Fuzzy Random Variable 2.5.1. Fuzzy Random Variable 2.5.1.1. Definition 2.5.1.2. Theorem 2.5.1.3. Definition 2.5.1.4. Definition 2.6. Fuzzy Random Variable Valued Gaussian Function 2.6.1. Definition 2.7. Fuzzy Random Variable Valued Gaussian Function 2.7.1. Lemma 2.7.2. Definition 2.7.3. Theorem 2.7.4. Theorem 2.7.5. Proof 3. Uncertainty Modeling 4. Results and Discussions Conclusion References Chapter 6 Application of a Standard Fuzzy Arithmetic Method Abstract Introduction Methods Reservoir Operation Model A Standard Fuzzy Arithmetic Method Step 1. Decomposition of Fuzzy Numbers Step 2. Application of an Interval Arithmetic (Moore 1966) Step 3. Recompositions of the Output Intervals Fuzzy Ranking Method References Biographical Sketch Index Blank Page