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Bi-cooperative games in bipolar fuzzy settings.
- Source :
-
International Journal of General Systems . Jan2018, Vol. 47 Issue 1, p51-66. 16p. - Publication Year :
- 2018
-
Abstract
- In this paper, we introduce the notion of a bi-cooperative game withBipolar Fuzzy Bi-coalitionsand discuss the related properties. In many decision-making situations, players show bipolar motives while cooperating among themselves. This is modelled in both crisp and fuzzy environments. Bi-cooperative games with fuzzy bi-coalitions have already been proposed under the product order of bi-coalitions where one had memberships in [0, 1]. In the present paper, we adopt the alternative ordering: ordering by monotonicity and account for players’ memberships in, a break from the previous formulation. This simplifies the model to a great extent. The corresponding Shapley axioms are proposed. An explicit form of the Shapley value to a particular class of such games is also obtained. Our study is supplemented with an illustrative example. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03081079
- Volume :
- 47
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of General Systems
- Publication Type :
- Academic Journal
- Accession number :
- 126079238
- Full Text :
- https://doi.org/10.1080/03081079.2017.1388800