This paper examines the problem of calculating the maximum and minimum share of individuals or organizations for the calculation of the profits and costs assigned to players by various criteria, assuming that the players are selfish and the score of each criterion is an interval for each player. Each player tries to provide the best status for himself. In this paper, a new plan is proposed to calculate the lowest cost-benefit ratio for interval data. Any player who obtains the lowest cost-benefit ratio is the most successful player in earning a profit. Moreover, the developed design in this paper provides a method to identify the most successful players and coalitions.