This book summarizes years of research in the field of fuzzy relational programming, with a special emphasis on geometric models. It discusses the state-of-the-art in fuzzy relational geometric problems, together with key open issues that must be resolved to achieve a more efficient application of this method. Though chiefly based on research conducted by the authors, who were the first to introduce fuzzy geometric problems, it also covers important findings obtained in the field of linear and non-linear programming. Thanks to its balance of basic and advanced concepts, and its wealth of practical examples, the book offers a valuable guide for both newcomers and experienced researcher in the fields of soft computing and mathematical optimization.

Inhalt

Chapter 1: Basic Theory of Fuzzy Set.- Chapter 2: Fuzzy Relation.- Chapter 3: Fuzzy Relational Equations/Inequalities.- Chapter 4: Fuzzy Relational Linear Programming.- Chapter 5: Fuzzy Relation Geometric Programming.- Chapter 6: Relational Geometric Programming with Fuzzy Coe cient.- Chapter 7: Fuzzy Relational of Non-linear Optimization.- Chapter 8: Fuzzy Relational Inequality and Its Network Optimization.- Chapter 9: Research Progress of Fuzzy Relational Geometric Programming.