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Multi-level Linear Programming Subject to Max-product Fuzzy Relation Equalities

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Fuzzy Information and Engineering and Decision (IWDS 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 646))

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Abstract

In this paper, we consider the multi-level linear programming subject to max-product fuzzy relation equations which is used to characterize a kind of wireless communication EBS model. Based on the theorem of lexicography order, we developed a algorithm to find the unique optimal solution. And a numerical example is given to illustrate the feasibility and efficiency of the algorithm.

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Acknowledgments

The authors would like to thank Jin-wu Gao for his recommendation and many enlightening conversations.

Supported by National Natural Science Foundation of China (U1601204), the Natural Science Foundation of Guangdong Province (2016A030313552) and Guangzhou Vocational College of Science and Technology (2016TD03).

Recommender: Jin-wu Gao: Associate Professor, School of Information Renmin University of China.

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Authors and Affiliations

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

    Ze-jian Qin & Bingyuan Cao

  2. School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou, 510006, China

    Xiao-cou Liu

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

    Bingyuan Cao

Authors
  1. Ze-jian Qin
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  2. Xiao-cou Liu
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  3. Bingyuan Cao
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Corresponding author

Correspondence to Bingyuan Cao .

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Editors and Affiliations

  1. Guangzhou Vocational College of Science and Technology, Guangzhou, China

    Bing-Yuan Cao

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Qin, Zj., Liu, Xc., Cao, B. (2018). Multi-level Linear Programming Subject to Max-product Fuzzy Relation Equalities. In: Cao, BY. (eds) Fuzzy Information and Engineering and Decision. IWDS 2016. Advances in Intelligent Systems and Computing, vol 646. Springer, Cham. https://doi.org/10.1007/978-3-319-66514-6_23

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  • DOI: https://doi.org/10.1007/978-3-319-66514-6_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66513-9

  • Online ISBN: 978-3-319-66514-6

  • eBook Packages: EngineeringEngineering (R0)

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