Solving I-fuzzy Bi-matrix Games with I-fuzzy Goals by Resolving Indeterminacy

نویسندگان

  • I. Khan
  • A. Aggarwal
  • A. Mehra
چکیده

In this paper, we study I-fuzzy bi-matrix games with I-fuzzy goals. The indeterminacy factor in the I-fuzzy goal of each player is resolved using the Hurwicz optimism-pessimism rule. As a result, such an I-fuzzy bi-matrix game reduces to solving a fuzzy optimization problem with S-shaped membership functions. The latter problem is equivalently converted into its crisp counterpart using the conventional methods available in the literature of the fuzzy optimization. The resultant problem so obtained is devoid of any binary variable. A numerical example is presented to illustrate the proposed approach. ©2016 World Academic Press, UK. All rights reserved.

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تاریخ انتشار 2016