Bi-cooperative games in bipolar fuzzy settings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F18%3A00485377" target="_blank" >RIV/67985556:_____/18:00485377 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03081079.2017.1388800" target="_blank" >http://dx.doi.org/10.1080/03081079.2017.1388800</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03081079.2017.1388800" target="_blank" >10.1080/03081079.2017.1388800</a>

Result language
angličtina
Original language name
Bi-cooperative games in bipolar fuzzy settings
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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