Author(s)

Lin-lin Zhao and Xin-hao Wang

Corresponding Author

Lin-lin Zhao

Abstract

For tracking of personal wealth vouchers and the sake of the problem of comparing order of fuzzy numbers in game theory based on the rational hypothesis of economic man. Therefore, the concept of intuitionistic element-order is advanced, and proved that it is the whole order. In this paper, it is proved that a real dual-matrix is correspond to the arbitrary fuzzy dual matrix, and also has the same Nash equilibrium solution with the arbitrary fuzzy dual matrix, and the solving of original problem is simplified, by fuzzy structured element theorem. Finally, an example is taken to illustrate effectivity.

Keywords

game theory; strategic planning; intuitionistic fuzzy sets; fuzzy structured element; order