Cooperative fuzzy games with interval characteristic functions

Fanyong Meng (), Xiaohong Chen () and Chunqiao Tan ()
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Fanyong Meng: Central South University
Xiaohong Chen: Central South University
Chunqiao Tan: Central South University

Operational Research, 2016, vol. 16, issue 1, No 1, 24 pages

Abstract: Abstract In this paper, a generalized form of fuzzy games with interval characteristic functions is proposed, which can be seen as an extension of games with crisp characteristic functions. Based on the extended Hukuhara difference, the interval Shapley function for interval fuzzy games is studied. Then, the concept of interval population monotonic allocation function (IPMAF) is defined. When interval fuzzy games are convex, we prove that the interval Shapley function is an IPMAF. Furthermore, two special types of interval fuzzy games are researched, and the associated interval Shapley function is studied.

Keywords: Interval fuzzy game; Shapley function; Multilinear extension; Choquet integral (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s12351-015-0183-z

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