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The well-posedness for generalized fuzzy games

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Abstract

This paper establishes the stable results for generalized fuzzy games by using a nonlinear scalarization technique. The authors introduce some concepts of well-posedness for generalized fuzzy games. Moreover, the authors identify a class of generalized fuzzy games such that every element of the collection is generalized well-posed, and there exists a dense residual subset of the collection, where every generalized fuzzy game is robust well-posed.

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University, Guiyang, 550025, China

    Nengfa Wang

  2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, China

    Nengfa Wang

  3. School of Economics, Shanghai University of Finance and Economics, Shanghai, 200433, China

    Zhe Yang

  4. Key Laboratory of Mathematical Economics (SUFE), Ministry of Education, Shanghai, 200433, China

    Zhe Yang

Authors
  1. Nengfa Wang
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  2. Zhe Yang
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Corresponding author

Correspondence to Nengfa Wang.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 11501349, 61472093 and 11361012, and the Chen Guang Project sponsored by the Shanghai Municipal Education Commission and Shanghai Education Development Foundation under Grant No. 13CG35, and the Youth Project for Natural Science Foundation of Guizhou Educational Committee under Grant No. [2015]421.

This paper was recommended for publication by Editor WANG Shouyang.

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Wang, N., Yang, Z. The well-posedness for generalized fuzzy games. J Syst Sci Complex 30, 921–931 (2017). https://doi.org/10.1007/s11424-017-6098-4

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  • DOI: https://doi.org/10.1007/s11424-017-6098-4

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