Bi-cooperative games in bipolar fuzzy settings

0485377 - ÚTIA 2019 RIV US eng J - Článek v odborném periodiku
Hazarika, P. - Borkotokey, S. - Mesiar, Radko
Bi-cooperative games in bipolar fuzzy settings.
International Journal of General Systems. Roč. 47, č. 1 (2018), s. 51-66. ISSN 0308-1079. E-ISSN 1563-5104
Institucionální podpora: RVO:67985556
Klíčová slova: Bi-cooperative games * bipolar fuzzy bi-coalition * Shapley function
Obor OECD: Pure mathematics
Impakt faktor: 2.259, rok: 2018
http://library.utia.cas.cz/separaty/2018/E/mesiar-0485377.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0281413