Title of article :
Fuzzy transferable-utility games: a weighted allocation and related results
Author/Authors :
Liao, Y.H Department of Applied Mathematics - National Pingtung University, Pingtung 900, Taiwan , Chung, L.Y Graduate School of Technological and Vocational Education - National Yunlin University of Science and Technology, Yunlin 64002, Taiwan
Abstract :
By considering the supreme-utilities among fuzzy sets and the weights among participants simultaneously, we introduce
the supreme-weighted value on fuzzy transferable-utility games. Further, we provide some equivalent relations to
characterize the family of all solutions that admit a potential on weights. We also propose the dividend approach to
provide alternative viewpoint for the potential approach. Based on these equivalent relations, several axiomatic results
are also proposed to present the rationality for the supreme-weighted value.
Keywords :
axiomatic result , dividend , potential , the supreme-weighted value , Fuzzy transferable-utility games
