D 2022

On the Non-Emptiness of the Core of a Cooperative Fuzzy Game

BARTL, David

Basic information

Original name

On the Non-Emptiness of the Core of a Cooperative Fuzzy Game

Authors

BARTL, David

Edition

Budapest, VOCAL 2022. 9th VOCAL Optimization Conference: Advanced Algorithms. Budapest, Hungary, May 25-27, 2022. Short Papers, p. 11-16, 6 pp. 2022

Publisher

Hungarian Operations Research Society

Other information

Language

English

Type of outcome

Proceedings paper

Country of publisher

Hungary

Confidentiality degree

is not subject to a state or trade secret

Publication form

electronic version available online

References:

Marked to be transferred to RIV

Yes

RIV identification code

RIV/47813059:19520/22:A0000283

Organization

Obchodně podnikatelská fakulta v Karviné – Slezská univerzita v Opavě – Repository

ISBN

978-615-01-5987-4

Keywords in English

Cooperative fuzzy TU-game; Core; Balanced game; Bondareva-Shapley theorem

Links

GA21-03085S, research and development project.
Changed: 3/12/2023 03:37, Bc. Ivana Glabazňová

Abstract

In the original language

We introduce the concept of a fuzzy coalition structure on a finite set of players. Then, we propose a new model of a cooperative fuzzy game with transferable utility: an existing coalition is assumed to endeavour in a branch of industry, and a deviation of a new coalition from the coalition structure is seen as an opportunity of the coalition. Based on these premisses, we introduce the concept of the core of the cooperative fuzzy TU-game with respect to a general fuzzy coalition structure. Finally, we define the concept of balancedness and formulate a generalization of the Bondareva-Shapley Theorem.

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