The fuzzy core in games with fuzzy coalitions

Yu, Xiaohui; Zhang, Qiang

doi:10.1016/j.cam.2008.11.004

Cited by 42 publications

(24 citation statements)

References 7 publications

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“…From Theorem 3.2, we know the equivalent form of the fuzzy core C O (U, ν O , M F ) degenerates to be the fuzzy core of fuzzy game ν O ∈ G O (U ) given by Yu and Zhang (2009), when we restrict the domain of dynamic fuzzy game ν O ∈ G O (U ) on matroids in the framework of fuzzy games given by Owen (1971).…”

Section: Theorem 32 Let (U M F ) Be a Matroid And The Associated Cmentioning

confidence: 98%

“…Similar to Yu and Zhang (2009), we research an equivalent form of the fuzzy core of dynamic fuzzy games on matroids.…”

Section: The Fuzzy Core Of Dynamic Fuzzy Games On Matroidsmentioning

confidence: 99%

“…The Shapley function for fuzzy games is studied by Butnariu (1980), Tsurumi et al (2001), Butnariu and Kroupa (2008), Li and Zhang (2009), Meng and Zhang (2010). The fuzzy core of fuzzy games is focused on by Branzei et al (2003), Tijs et al (2004), Butnariu and Kroupa (2009), Yu and Zhang (2009).…”

Section: Introductionmentioning

confidence: 99%

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The fuzzy core and Shapley function for dynamic fuzzy games on matroids

Meng

Zhang

2011

Fuzzy Optim Decis Making

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In this paper, the generalized forms of the fuzzy core and the Shapley function for dynamic fuzzy games on matroids are given. An equivalent form of the fuzzy core is researched. In order to better understand the fuzzy core and the Shapley function for dynamic fuzzy games on matroids, we pay more attention to study three kinds of dynamic fuzzy games on matroids, which are named as fuzzy games with multilinear extension form, with proportional value and with Choquet integral form, respectively. Meantime, the relationship between the fuzzy core and the Shapley function for dynamic fuzzy games on matroids is researched, which coincides with the crisp case.

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Section: Theorem 32 Let (U M F ) Be a Matroid And The Associated Cmentioning

confidence: 98%

“…Similar to Yu and Zhang (2009), we research an equivalent form of the fuzzy core of dynamic fuzzy games on matroids.…”

Section: The Fuzzy Core Of Dynamic Fuzzy Games On Matroidsmentioning

confidence: 99%

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The fuzzy core and Shapley function for dynamic fuzzy games on matroids

Meng

Zhang

2011

Fuzzy Optim Decis Making

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“…(2) degenerates to be the Shapley value given by Alparslan Gök et al [12]. [25,30] v U  . Since there does not exist interval number c such that ( (1)) ( (1), (2) …”

Section: U(3)u(4)}{u(2)u(3)u(4)}u}mentioning

confidence: 99%

“…Furthermore, if there is only one coalition in  , and the coalition values are real numbers, then the core ( , ) IC U  degenerates to be the core of fuzzy games presented by Yu and Zhang [25].…”

Section: U(3)u(4)}{u(2)u(3)u(4)}u}mentioning

confidence: 99%

Cooperative Fuzzy Games with a Coalition Structure and Interval Payoffs

Meng¹,

Zhang²,

Yan³

2013

IJCIS

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Based on the extension Hukuhara difference between interval numbers, a generalized form of cooperative fuzzy games with a coalition structure and interval payoffs is proposed, which can be seen as an extension of crisp case. The interval Owen value for this kind of fuzzy games is studied, and its explicit form is given. When the fuzzy games are convex, the proposed interval Owen value is an interval population monotonic allocation function (IPMAF), and belongs to the associated core. Furthermore, we discuss a special kind of fuzzy games with a coalition structure and interval payoffs, and study the interval Owen value and the core of it. Some properties are also examined, which are coincided with the crisp case.

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Fuzzyfication of Repeatable Trust Game

Motylska-Kuźma

Mercik

2020

Intelligent Information and Database Systems

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The fuzzy core in games with fuzzy coalitions

Cited by 42 publications

References 7 publications

The fuzzy core and Shapley function for dynamic fuzzy games on matroids

The fuzzy core and Shapley function for dynamic fuzzy games on matroids

Cooperative Fuzzy Games with a Coalition Structure and Interval Payoffs

Fuzzyfication of Repeatable Trust Game

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