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A modifi ed position value for communication situations and its fuzzi fication | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 16، شماره 3، مرداد و شهریور 2019، صفحه 85-96 اصل مقاله (221.84 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4647 | ||
| نویسندگان | ||
| X. H. Li* ؛ H. Sun؛ G. J. Xu | ||
| Department of Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, PR China | ||
| چکیده | ||
| Myerson treated various situations of cooperation in the field of cooperative games and proposed the communication structure. In this paper, we define and characterize an allocation rule in terms of the position value, called an average spanning tree solution, for communication situations by introducing a concept of cooperation relationship which says that two players are deemed to possess this relationship if there is a communication path through them. Considering the fact that the extent to what players participate in a coalition may be partially restricted for uncertain possibilities, we construct a graph game in multilinear extension form and continue to explore the fuzzy average spanning tree solution on a framework of communication situation with fuzzy coalition. | ||
| کلیدواژه‌ها | ||
| Communication situation؛ Basic cooperation graph؛ Position value؛ Participation level؛ Fuzzy coalition | ||
| مراجع | ||
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