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Journal Article

Bi-cooperative games in bipolar fuzzy settings

Hazarika P., Borkotokey S., Mesiar Radko

: International Journal of General Systems vol.47, 1 (2018), p. 51-66

: Bi-cooperative games, bipolar fuzzy bi-coalition, Shapley function

: 10.1080/03081079.2017.1388800

: http://library.utia.cas.cz/separaty/2018/E/mesiar-0485377.pdf

(eng): In this paper, we introduce the notion of a bi-cooperative game with Bipolar Fuzzy Bi-coalitions and 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 [-1, 1], 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.

: BA

: 10101

2019-01-07 08:39