Extended results of ``Cores of fuzzy games and their convexity"

Document Type : Research Paper


1 Department of Applied Mathematics, National Pingtung University, Taiwan

2 Graduate School of Technological and Vocational Education, National Yunlin University of Science and Technology, Yunlin 64002, Taiwan


In the framework of fuzzy transferable-utility games, Wu \cite{wu1} derived the coincidences among of the proper core and the dominance core by providing some suitable conditions. By extending the results proposed by Wu \cite{wu1}, we provide alternative relations to show that the proper core coincides with the dominance core under some necessary and sufficient conditions.