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| List of Figures | ||
| List of Tables | ||
| Preface | ||
| Acknowledgements | ||
| Introduction of Author | ||
| 1 | Mathematical Preliminaries | 1 |
| 1.1 | Fuzzy Sets and Their Operations | 1 |
| 1.2 | Decomposition Theorems of Fuzzy Sets and Convex Fuzzy Sets | 4 |
| 1.3 | Fuzzy Matrices and Vectors | 8 |
| 1.4 | Geometric Inequality and Properties of PGP | 11 |
| 1.5 | Extension Principle and Representation Theorem | 15 |
| 1.6 | Fuzzy Functions | 18 |
| 2 | Fuzzy Posynomial Geometric Programming | 23 |
| 2.1 | Basic Knowledge and Properties | 23 |
| 2.2 | Fuzzy PGP and Its Properties | 27 |
| 2.3 | Dual Programming of Fuzzy PGP | 34 |
| 2.4 | Dual Theorem of Fuzzy PGP | 42 |
| 2.5 | Primal Algorithm for Fuzzy PGP | 46 |
| 2.6 | Dual Algorithm for Fuzzy PGP | 59 |
| 3 | Fuzzy Strongly Dual Results for Fuzzy PGP | 65 |
| 3.1 | Basic Theorem | 65 |
| 3.2 | Fuzzy Subconsistency and Converse Theorem | 70 |
| 3.3 | Fuzzy Monomial PGP and Its Equivalence | 77 |
| 3.4 | Another Proof of A Fuzzy PGP Dual Theorem | 81 |
| 3.5 | Fuzzy PGP Classification and Its Corresponding Class Properties | 89 |
| 4 | Initial Study of Fuzzy Reverse PGP | 95 |
| 4.1 | Fuzzy Reverse PGP and Its Dual Form | 95 |
| 4.2 | Duality Properties of Fuzzy Reverse PGP | 100 |
| 4.3 | Dual Algorithm for Fuzzy Reverse PGP | 106 |
| 4.4 | Lagrange Problem of Fuzzy Reverse PGP | 110 |
| 5 | Geometric Programming with Fuzzy Coefficients | 115 |
| 5.1 | Properties of Five Types of Numbers | 115 |
| 5.2 | GP with Interval and Fuzzy Valued Coefficients | 121 |
| 5.3 | GP with Type (-, c) Fuzzy Coefficients | 128 |
| 5.4 | GP with L-R fuzzy Coefficients | 135 |
| 5.5 | GP with Flat Fuzzy Coefficients | 142 |
| 6 | Programming with Fuzzy Variables | 149 |
| 6.1 | Basic Knowledge | 149 |
| 6.2 | LP Problem with T - Fuzzy Variables | 153 |
| 6.3 | GP with T - Fuzzy Variables | 158 |
| 6.4 | GP with Trapezoidal Fuzzy Variables | 164 |
| 6.5 | Dual Method of Programming with Fuzzy Variables | 173 |
| 6.6 | Genetic Algorithm Based on Fuzzy Imitation | 178 |
| 7 | Fuzzy Multi-Objective Programming | 181 |
| 7.1 | Fuzzy-valued-Set on Multi-Objective GP | 181 |
| 7.2 | Fuzzy Programming Duality Technique to Multi-Objective GP | 189 |
| 7.3 | Multi-Objective GP with Type (-, c) Fuzzy Coefficients | 194 |
| 7.4 | Multi-Objective GP with Type L-R Fuzzy Coefficients | 199 |
| 7.5 | Multi-Objective GP with Flat Fuzzy Coefficients | 203 |
| 7.6 | Multi-Objective LP with T - Fuzzy Variables | 207 |
| 7.7 | Multi-Objective GP with T - Fuzzy Variables | 212 |
| 8 | Application of Fuzzy Geometric Programming | 215 |
| 8.1 | Fuzzy GP for Seeking Schemes in Waste Waster Disposal in Power Plants | 215 |
| 8.2 | Application of GP and GP with Fuzzy Coefficients in Supply Radius Option in A City TS | 222 |
| 8.3 | Further Study of Fuzzy GP in Optimum Option Supply Radius | 228 |
| 8.4 | Application of Multi-Objective Fuzzy GP in Postal Services | 233 |
| 9 | Antinomy and Fuzzy GP Research Directions | 235 |
| 9.1 | Research for Antinomy in Fuzzy LP | 235 |
| 9.2 | Antinomy in Fuzzy GP | 246 |
| 9.3 | Directions in Fuzzy GP Research | 253 |
| Bibliography | 255 | |
| Index | 263 |
| Price | Condition | Delivery | Seller | Action |
| $200.64 | Digital |
| WonderClub |
Kirk Reed
reviewed Fuzzy Geometric Programming on February 22, 2019
Fuzzy Geometric Programming
If you read this book as first time in order to understand Computational Complexity, then you're probably not going to like it. You need to read Sipser's textbook before you read this book and make sure that you have a strong background in discrete mathematics (if not, then see Rosen's textbook in Discrete Mathematics). This book is recommended by best people in complexity and algorithms such as Scott Aaronson, Sipser, etc. You need to solve as many exercises as you go.
The book has five parts:
Part I: Algorithms
Part II: Logic
Part III: P and NP
Part IV: Inside P
Part V: Beyond NP
The most important parts are in Part I, III.
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Add Fuzzy Geometric Programming, The book gives readers a thorough understanding of fuzzy geometric programming, a field that was originated by the author. It is organized into two parts: theory and applications. The former aims at development of issues including fuzzy posynomial geometr, Fuzzy Geometric Programming to the inventory that you are selling on WonderClubX
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Add Fuzzy Geometric Programming, The book gives readers a thorough understanding of fuzzy geometric programming, a field that was originated by the author. It is organized into two parts: theory and applications. The former aims at development of issues including fuzzy posynomial geometr, Fuzzy Geometric Programming to your collection on WonderClub |
