Modified fast approach to compute fuzzy values of matrix games with payoffs of triangular fuzzy numbers

Authors

  • Tina Verma FACULTY Author
  • Amit Kumar FACULTY Author
  • S.S. Appadoo Professor Author

Keywords:

uncertainty modeling, fuzzy sets, game theory, group decisions and negotiations, linear programming

Abstract

Li (A fast approach to compute fuzzy values of matrix games with payoffs of triangular fuzzy numbers. European Journal of Operational Research, 223, 421-429, 2012) proposed an approach to compute the fuzzy optimal solution of such matrix games in which
payoffs are represented by non-negative triangular fuzzy numbers. In this paper, a numerical example is solved by this approach and shown that the obtained fuzzy optimal value of one fuzzy decision variable is neither a real number nor a fuzzy number i.e., the
obtained fuzzy optimal solution of the chosen problem is invalid. Also, the existing approach is modified to resolve this drawback.

Author Biographies

  • Tina Verma, FACULTY

    School of Mathematics and Computer
    Applications, Thapar University, Patiala,
    Punjab, India

  • Amit Kumar, FACULTY

    School of Mathematics and Computer
    Applications, Thapar University, Patiala,
    Punjab, India.

  • S.S. Appadoo, Professor

    Department of Supply and Chain
    Management, University of Manitoba,
    Canada.

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Published

2015-02-27

Issue

Vol. 3 No. 9 (2015): FEBURARY 2015

Section

Articles

License

Copyright (c) 2015 Academic Research Publishers

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Modified fast approach to compute fuzzy values of matrix games with payoffs of triangular fuzzy numbers. (2015). International Academic Research Journal of Business and Management, 3(9), 43-52. https://www.acrpub.com/index.php/iarjbm/article/view/162

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