Confrontation Game in Complex Networks Based on Intuitionistic Fuzzy Set

Abstract

Critical infrastructures are essential to modern society, but they are often vulnerable to attacks. Numerous game models have been proposed to analyze the confrontation between attacker and defender of critical infrastructures. However, few of them consider ambiguity and uncertainty that exist in reality. In this paper, we employ two-persons and zero-sum matrix game with intuitionistic fuzzy set and provide a method for generating intuitionistic fuzzy payoff matrix using hyperbolic membership/non-membership functions. Subsequently, an efficient algorithm is adopted to obtain the Nash equilibrium solution in the case of intuitionistic fuzzy conditions. The efficacy o f the game model based on the intuitionistic fuzzy set is authenticated.