Two-person zero-sum game approach for fuzzy multiple attribute decision making problems

The Multiple Attribute Decision Making (MADM) problem deals with candidate priority alternatives with respect to various attributes. MADM techniques are popularly used in diverse fields such as engineering, economics, management science, transportation planning, etc. Several approaches have been developed for assessing the weights of MADM problems, e.g., the eigenvector method, ELECTRE, TOPSIS, etc. In this paper, we obtained weights of a MADM problem with a fuzzy decision matrix by formulating it as a two-person zero-sum game with an uncertain payoff matrix. Moreover, the equilibrium solution and the resolution method for the MADM game have also been developed; these results are validated by a product development example of nano-materials. Our study is an innovative approach for applying the game theory on MADM problems with management of technology (MOT).