The maximal allocated cost and minimal allocated benefit for interval data

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 efforts to bring about his or her ideal condition. In this paper a new scheme to calculate the minimal allocated cost and the maximal allocated benefit for interval data is offered. In this scheme also the new models have been proposed for avoiding zero weight occurrence. Here ultimate allocation is achieved for each player with suitable coalition within several defined coalition.