Fuzzy extension of n-persons games based on Choquet integral
Xiaohong Chen · Journal of systems engineering · 2009
Based on Choquet integral,a fuzzy extension method of n-persons game is proposed,which is different from classical multilinear extension and Cornet extension.For n-person games,any coalition can be represented by using its characteristic vectors.By means of Choquet integral,n-person games are extended from classical coalition to fuzzy coalition.Some properties of the fuzzy extension are discussed.The relation between the fuzzy extension and Shapley value is investigated.