M-S value for cooperative games with judgement worth
Qiang Zhang · 2012
With respect to cooperative n-person games with judgement worth,the Multiplicative-Shapley is proposed based on the 1-9 judgement scale.Firstly,the average payoff function is defined,and two types of consistent and their adjustment are introduced simultaneously.Secondly,some concepts of cooperative n-person games,such as domination,pseudoconvex,Multiplicative-Shapley value and unit element,are defined based on the corresponding characteristic function,and then the Multiplicative-Shapley value is proposed according to three axioms.Finally,a numeral example is illustrated to show the feasibility and availability of the Multiplicative-Shapley value.