Affiliations: [a] ISRO Satellite Centre, Old Airport Road, Vimanapura Post, Bangalore, India | [b] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, India | [c] School of Economics and Management, Fuzhou University, Fuzhou, Fujian, China
Correspondence:
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Correspondence to: Sankar Kumar Roy, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India. Tel.: +03222 276554/276555; Extn: 440; Mob. No. (+91) 9434217733; Fax: +03222 275297; E-mail: sankroy2006@gmail.com.
Abstract: This paper analyzes the bi-matrix games under the light of birough programming. The combination of bi-matrix games and birough programming produces a new form which is defined here as birough bi-matrix games. In birough bi-matrix games, the payoff elements are characterized by birough variables and uncertainty of the birough variable is measured by birough measure which known as Chance (Ch). Utilizing the Chance measure, we have defined the expected birough Nash equilibrium strategy for the players which depends upon the confidence level and outcome of the birough bi-matrix game. In order to show the applicability and feasibility of our proposed method, a real-life example on birough bi-matrix game is presented and then solved.
