Data envelopment analysis (DEA) is an effective tool for supporting decision-makers to assess bankruptcy, uncertainty concepts including intervals, and game theory. The bankruptcy problem with the qualitative parameters is an economic problem under uncertainty. Accordingly, we combine the concepts of the DEA game theory and uncertain models as interval linear programming (ILP), which can be applied to all areas of studies such as bankruptcy assessment. An optimal allocation is achieved based on the players of the different coalitions and Shapley values by considering a kind of the interval games. Indeed, the Shapely value is one idea which player ’ s is share equal to ’s expected marginal contribution if the players join the coalition each time. Also, the Shapley value is one reasonable allocation which we used in this paper based on game theory. Finally, we solve a numerical example, using the Shapely value concept.
Batamiz A. Obtaining a possible allocation in the bankruptcy model using the Shapley value. International Journal of Applied Operational Research 2018; 8 (4) :1-12 URL: http://ijorlu.liau.ac.ir/article-1-582-en.html