Fuzzy Relational Mathematical Programming: Linear, Nonlinear and Geometric Programming Models

Description

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. Front Matter ....Pages i-xiii Basic Theory of Fuzzy Set (Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang)....Pages 1-27 Fuzzy Relation (Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang)....Pages 29-43 Fuzzy Relational Equations/Inequalities (Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang)....Pages 45-66 Fuzzy Relational Linear Programming (Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang)....Pages 67-104 Fuzzy Relation Geometric Programming (Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang)....Pages 105-143 Relational Geometric Programming with Fuzzy Coefficient (Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang)....Pages 145-175 Fuzzy Relational of Non-linear Optimization (Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang)....Pages 177-207 (+, \(\wedge \)) Fuzzy Relational Inequality and Its Network Optimization (Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang)....Pages 209-242 Research Progress of Fuzzy Relational Geometric Programming (Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang)....Pages 243-245