An extension of cooperative fuzzy games
type: Item
instance of: scholarly article
title: An extension of cooperative fuzzy games
zbMATH Open document ID: 1189.91025
author: Xiaohui Yu
author: Qiang Zhang
published in: Fuzzy Sets and Systems
publication date: 2010-05-07T00:00:00Z
review text: The referred paper contributes to the models of vague cooperation represented by fuzzy cooperative games. It aims to the formulation of the cooperative solution of games with transferable utility, fuzzy coalitions and fuzzy characteristic functions. This model is derived and developed via the generalization of cooperative games with deterministic coalitions and fuzzy pay-offs, where the considered solution is the modified Shapley value in the form of so called Hukuhara-Shapley function. It is shown that the properties of the fuzzified Shapley values of the considered fuzzy cooperative game naturally reflect the analogous properties of their deterministic counterparts.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 91A12
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 68T37
zbMATH DE Number: 5705386
zbMATH Keywords: fuzzy cooperative game
zbMATH Keywords: fuzzy coalition
zbMATH Keywords: fuzzy characteristic function
zbMATH Keywords: Shapley value
zbMATH Keywords: Hukuhara difference
zbMATH Keywords: Choquet integral
MaRDI profile type: Publication
full work available at URL: j.fss.2009.08.001
OpenAlex ID: W1985318641
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DOI: 10.1016/J.FSS.2009.08.001
description: scientific article; zbMATH DE number 5705386