An Introduction to Fuzzy Sets

✍ Scribed by Valdemar F. Andersen

• Year: 2020
• Tongue: English
• Leaves: 142
• Category: Library

✦ Table of Contents

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
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