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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 383))

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Abstract

The following research work may be considered as future research work: 1. In this thesis, only flaws in some existing methods for matrix games/constrained matrix games with inter-val/fuzzy/intuitionistic fuzzy payoffs are pointed out and to resolve flaws of these existing methods, new methods are proposed.

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References

  1. Aggarwal, A., Chandra, S., Mehra, A.: Solving ma-trix games with I-fuzzy payoffs: pareto-optimal security strategies approach. Fuzzy Inf. Eng. 6, 167–192 (2014)

    Article  MathSciNet  Google Scholar 

  2. Aggarwal, A., Dubey, D., Chandra, S.: Application of Atanassov’s I-fuzzy set theory to matrix games with fuzzy goals and fuzzy payoffs. Fuzzy Inf. Eng. 4, 401–414 (2012)

    Article  MathSciNet  Google Scholar 

  3. Aggarwal, A., Mehra, A., Chandra, S.: Application of linear programming with I-fuzzy sets to matrix games with I-fuzzy goals. Fuzzy Optim. Decis. Mak. 11, 465–480 (2012)

    Article  MathSciNet  Google Scholar 

  4. Bector, C.R., Chandra, S.: On duality in linear programming under fuzzy environment. Fuzzy Sets Syst. 125, 317–325 (2002)

    Article  MathSciNet  Google Scholar 

  5. Bector, C.R., Chandra, S.: Fuzzy Mathematical Programming and Fuzzy Matrix Games. Springer, Heidelberg (2005)

    MATH  Google Scholar 

  6. Bector, C.R., Chandra, S., Vijay, V.: Bimatrix games with fuzzy payoffs and fuzzy goals. Fuzzy Optim. Decis. Mak. 3, 327–344 (2004)

    Article  MathSciNet  Google Scholar 

  7. Bector, C.R., Chandra, S., Vijay, V.: Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs. Fuzzy Sets Syst. 46, 253–269 (2004)

    Article  MathSciNet  Google Scholar 

  8. Bector, C.R., Chandra, S., Vijay, V.: Matrix games with fuzzy goals and fuzzy linear programming duality. Fuzzy Optim. Decis. Mak. 3, 255–269 (2004)

    Article  MathSciNet  Google Scholar 

  9. Chang, J.R., Chang, K.H., Liao, S.H., Cheng, C.H.: The reliability vague fault-tree analysis on weapon systems fault diagnosis. Soft Comput. 10, 531–542 (2006)

    Article  Google Scholar 

  10. Li, D.F.: Mathematical-programming approach to matrix games with payoffs represented by Atanassov’s interval-valued intuitionistic fuzzy sets. IEEE Trans. Fuzzy Syst. 18, 1112–1128 (2010)

    Article  Google Scholar 

  11. Li, D.F., Nan, J.X.: A nonlinear programming approach to matrix games with payoffs of Atanassov’s intuitionistic fuzzy sets. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 17, 585–607 (2009)

    Article  MathSciNet  Google Scholar 

  12. Nan, J.X., Li, D.F.: Linear programming approach to matrix games with intuitionistic fuzzy goals. Int. J. Comput. Intell. Syst. 6, 186–197 (2013)

    Article  Google Scholar 

  13. Nan, J.X., Li, D.F.: Linear programming technique for solving interval-valued constraint matrix games. J. Ind. Manag. Optim. 10, 1059–1070 (2014)

    Article  MathSciNet  Google Scholar 

  14. Vijay, V., Chandra, S., Bector, C.R.: Bimatrix games with fuzzy goals and fuzzy payoffs. Fuzzy Optim. Decis. Mak. 3, 327–344 (2004)

    Article  MathSciNet  Google Scholar 

  15. Vijay, V., Chandra, S., Bector, C.R.: Matrix games with fuzzy goals and fuzzy pay offs. Omega 33, 425–429 (2005)

    Article  Google Scholar 

  16. Vijay, V., Mehra, A., Chandra, S.: Fuzzy matrix games via a fuzzy relation approach. Fuzzy Optim. Decis. Mak. 6, 299–314 (2007)

    Article  MathSciNet  Google Scholar 

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Correspondence to Tina Verma .

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Verma, T., Kumar, A. (2020). Future Scope. In: Fuzzy Solution Concepts for Non-cooperative Games. Studies in Fuzziness and Soft Computing, vol 383. Springer, Cham. https://doi.org/10.1007/978-3-030-16162-0_6

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