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http://dx.doi.org/10.5391/IJFIS.2015.15.1.60

Matrix Game with Z-numbers  

Bandyopadhyay, Sibasis (Department of Mathematics, Visva Bharati)
Raha, Swapan (Department of Mathematics, Visva Bharati)
Nayak, Prasun Kumar (Bankura Christian College)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.15, no.1, 2015 , pp. 60-71 More about this Journal
Abstract
In this paper, a matrix game is considered in which the elements are represented as Z-numbers. The objective is to formalize the human capability for solving decision-making problems in uncertain situations. A ranking method of Z-numbers is proposed and used to define pure and mixed strategies. These strategies are then applied to find the optimal solution to the game problem with an induced pay off matrix using a min max, max min algorithm and the multi-section technique. Numerical examples are given in support of the proposed method.
Keywords
Z-number; Interval number; Matrix game; Multisection technique;
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