Fuzzy relational mathematical programming : linear nonlinear and geometric programming models 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 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 Coefficient 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.