λ-equilibrium of hypergame with fuzzy strategy and preference perceptions

A method is presented for obtaining the equilibrium outcomes of hypergame models with fuzzy strategy and preference perceptions in this paper. Firstly, for a decision maker specified credibility level λ, the crisp strategy set and outcome preference perception are determined based on fuzzy cuts and a relative distance measure for fuzzy numbers. Then, the hypergame-preserving λ-equilibrium and hypergame-destroying λ-equilibrium are defined and obtained by hypergame stability analysis. A simulation example illustrates the proposed method at the end.