Improved interval Shapley value for cooperative games with interval payoffs

This paper is based on the circumstance of pay-off function,which is the interval value in cooperative game.Based on the characteristics of the interval operation and suitable range Shapley value,the study provides an improved the interval Shapley value.The improved interval Shapley value can give a better description of a class of real-life economic phenomenon.Axioms of Shapley value are used to characterize the improved interval Shapley value.Case studies demonstrate the applications of the improved interval Shapley value in a profit allocation.