The Minimal Cost – Benefit Ratio for Interval Data

Subject Areas : Business Management

Sahand Daneshvar ¹ , Mozhgan Mansouri Kaleibar ²

1 - Assistant Professor, Faculty Member, Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
2 - Member of the Young Researchers Club of Tabriz Islamic Azad University

Received: 2010-02-05 Accepted : 2010-09-11 Published : 2010-11-22

Keywords: DEA, Game Theory, Assurance Region Method,

Abstract :

This Paper deals with calculating the minimal and maximal shares of individuals or organizations based on different criteria. Suppose that players are selfish and the score for each criterion for a player is an interval. Each player makes any possible effort to bring about his or her ideal condition. In this paper a new scheme to calculate the minimal    cost - benefit ratio for interval data is offered. A player who has minimal cost - benefit ratio is the successful player in obtaining favorite cost and benefits. In this scheme also new models have been proposed to avoid zero weight occurrence. 

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