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Fuzzy Relational Mathematical Programming

Linear, Nonlinear and Geometric Programming Models

  • Book
  • © 2020

Overview

Authors:
  1. Bing-Yuan Cao

    1. University of Foshan, Foshan, China

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  2. Ji-Hui Yang

    1. College of Science, Shenyang Agricultural University, Shenyang, China

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  3. Xue-Gang Zhou

    1. School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou, China

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  4. Zeinab Kheiri

    1. Higher Education Mega Center, Guangzhou University, Guangzhou, China

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  5. Faezeh Zahmatkesh

    1. Higher Education Mega Center, Guangzhou University, Guangzhou, China

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  6. Xiao-Peng Yang

    1. Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, China

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  • Offers a comprehensive introduction to the field of fuzzy relational mathematical problems
  • Includes extensive information on the theory and applications of fuzzy geometric programming
  • Describes numerous models to solve different kind of optimization problems

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 389)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Basic Theory of Fuzzy Set

    • Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang
    Pages 1-27

  3. Fuzzy Relation

    • Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang
    Pages 29-43

  4. Fuzzy Relational Equations/Inequalities

    • Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang
    Pages 45-66

  5. Fuzzy Relational Linear Programming

    • Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang
    Pages 67-104

  6. Fuzzy Relation Geometric Programming

    • Bing-Yuan Cao, Ji-Hui Yang, Xue-Gang Zhou, Zeinab Kheiri, Faezeh Zahmatkesh, Xiao-Peng Yang
    Pages 105-143

  7. 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

  8. 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

  9. (+, \(\wedge \)) 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

  10. 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
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Keywords

About this book

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. 


Authors and Affiliations

  • University of Foshan, Foshan, China

    Bing-Yuan Cao

  • College of Science, Shenyang Agricultural University, Shenyang, China

    Ji-Hui Yang

  • School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou, China

    Xue-Gang Zhou

  • Higher Education Mega Center, Guangzhou University, Guangzhou, China

    Zeinab Kheiri, Faezeh Zahmatkesh

  • Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, China

    Xiao-Peng Yang

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