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International Conference on Oriental Thinking and Fuzzy Logic pp 287–298Cite as

Weighted Min-Max Programming Subject to Max-Product Fuzzy Relation Equations

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 443))

Abstract

Weighted min-max programming subject to max-product fuzzy relation equations is investigated in this paper. For solving the proposed problem, we introduce concepts of discrimination matrix and solution matrix and study some of their properties. Based on these matrices, solution method is developed to find the optimal solution of the fuzzy relation weighted min-max programming problem. The solution method is illustrated by a numerical example.

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Acknowledgments

Thanks to the support by the Innovation and Building Strong School Project of Colleges of Guangdong Province (2015KQNCX094).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, 521041, China

    Xiao-Peng Yang & Ying-Han Hong

  2. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China

    Xiao-Peng Yang, Xue-Gang Zhou & Bing-Yuan Cao

  3. Guangzhou Vocational College of Science and Technology, Guangzhou, 510550, China

    Bing-Yuan Cao

Authors
  1. Xiao-Peng Yang
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  2. Ying-Han Hong
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  3. Xue-Gang Zhou
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  4. Bing-Yuan Cao
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Corresponding author

Correspondence to Bing-Yuan Cao .

Editor information

Editors and Affiliations

  1. Guangzhou Vocational Collg. Sci. & Tech., Guangzhou, China

    Bing-Yuan Cao

  2. West Texas A&M University, Canyon,TX,USA, Liaoning Technical University, Fuxin, China

    Pei-Zhuang Wang

  3. Foreign Affairs Office, National Defense University, Beijing, China

    Zeng-Liang Liu

  4. School of Math and Info. Science, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

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Yang, XP., Hong, YH., Zhou, XG., Cao, BY. (2016). Weighted Min-Max Programming Subject to Max-Product Fuzzy Relation Equations. In: Cao, BY., Wang, PZ., Liu, ZL., Zhong, YB. (eds) International Conference on Oriental Thinking and Fuzzy Logic. Advances in Intelligent Systems and Computing, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-30874-6_28

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  • DOI: https://doi.org/10.1007/978-3-319-30874-6_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30873-9

  • Online ISBN: 978-3-319-30874-6

  • eBook Packages: EngineeringEngineering (R0)

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