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Fuzzy Multichoice Games with Fuzzy Characteristic Functions

Fanyong Meng (), Qiang Zhang () and Xiaohong Chen ()
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Fanyong Meng: Nanjing Audit University
Qiang Zhang: Beijing Institute of Technology
Xiaohong Chen: Central South University

Group Decision and Negotiation, 2017, vol. 26, issue 3, No 7, 565-595

Abstract: 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.

Keywords: Fuzzy multichoice game; Shapley function; Extension Hukuhara difference; Multilinear extension; Choquet integral (search for similar items in EconPapers)
Date: 2017
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