Abstract

This paper firstly revists the cross efficiency evaluation method which is an extention tool of data envelopment analysis (DEA), then analyzes the potential flawes which happens when the ultimate average cross efficiency scores are used. In this paper, we consider the decision making units (DMUs) as the players in a cooperative fuzzy game, where the characteristic function values of coalitions are defined to compute the Shapley value of each DMU with fuzzy data, and the common weights associate with the imputation of the Shapley values are used to determine the ultimate cross efficiency scores. In this paper cross efficiency defined with fuzzy data for solving fuzzy parameters problems.

Key words: Cross efficiency, cooperative game, common weights, data envelopment analysis (DEA), fuzzy game, fuzzy linear programming, Shapley value.