Bi-cooperative games in bipolar fuzzy settings

Kód výsledku v IS VaVaI

RIV/67985556:_____/18:00485377 - isvavai.cz

Výsledek na webu

http://dx.doi.org/10.1080/03081079.2017.1388800

DOI - Digital Object Identifier

10.1080/03081079.2017.1388800

Jazyk výsledku

angličtina

Název v původním jazyce

Bi-cooperative games in bipolar fuzzy settings

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Bi-cooperative games in bipolar fuzzy settings

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of General Systems

ISSN

0308-1079

e-ISSN

—

Svazek periodika

47

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

16

Strana od-do

51-66

Kód UT WoS článku

000415640700002

EID výsledku v databázi Scopus

2-s2.0-85031418084