A Group Decision Making Method for Integrating Outcome Preferences in Hypergame Situations

Abstract

This paper presents a novel group decision making method for integrating outcome preferences in the first-level hypergame models where each player correctly perceives the strategy set, but perceives possibly different outcome preferences of the opponent players. To get more correct preferences information in hypergame models, each player is often consisted of a group of decision makers who can give their perception about opponent players’ preferences respectively. In the face of opponent players’ different linguistic preferences relations over outcome space perceived by different decision makers, a group fuzzy preferences relation is first accurately computed using standard fuzzy arithmetic operations. Concept of consensus winner is then introduced to decide the crisp outcome preference vectors. A numerical example is provided at the end to illustrate the method.

This work is supported by National Natural Science Foundation of China Grant #70471031.