Interval-valued fuzzy Shapley value of cooperative games based on dynamic fuzzy alliance
Liu Tian-hu, Weisheng Xu, Qidi Wu · Computer Engineering and Applications Journal · 2008
This study develop the interval-valued fuzzy Shapley values with the fuzzy characteristic of trigonometric payoff functions for n-person cooperative games and three axioms of classical Shapley value are extended on the basis of relevant theory of fuzzy mathematics.Considered that the concrete benefit distribution could be realized at the end of cooperation,we propose a payoff programme based on membership function of interval-valued fuzzy Shapley values.Eventually,a practical example is provided to illustrate the validity and feasibility of this method.