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Group Decision and Negotiation

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14-07-2016

Fuzzy Multichoice Games with Fuzzy Characteristic Functions

Authors: Fanyong Meng, Qiang Zhang, Xiaohong Chen

Published in: Group Decision and Negotiation | Issue 3/2017

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Abstract

In this paper, a generalized form of fuzzy multichoice games with fuzzy characteristic functions is proposed, which can be seen as an extension of traditional fuzzy games. Based on the extension Hukuhara difference, fuzzy multichoice games with fuzzy characteristic functions are studied, and a Shapley function is discussed. The notion of fuzzy multichoice population monotonic allocation scheme (FMPMAS) is defined. When the given fuzzy multichoice game with fuzzy characteristic functions is convex, we show that the proposed Shapley function is a FMPMAS. Furthermore, two special kinds of fuzzy multichoice games with fuzzy characteristic functions called fuzzy multichoice games with multilinear extension form and fuzzy characteristic functions and fuzzy multichoice games with Choquet integral form and fuzzy characteristic functions are researched.

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Title: Fuzzy Multichoice Games with Fuzzy Characteristic Functions
Authors: Fanyong Meng
Qiang Zhang
Xiaohong Chen
Publication date: 14-07-2016
Publisher: Springer Netherlands
Published in: Group Decision and Negotiation / Issue 3/2017
Print ISSN: 0926-2644
Electronic ISSN: 1572-9907
DOI: https://doi.org/10.1007/s10726-016-9493-7

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