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Core and Superdifferential of a Fuzzy TU-Cooperative Game. / Vasil’ev, V. A.

In: Automation and Remote Control, Vol. 82, No. 5, 05.2021, p. 926-934.

Research output: Contribution to journal › Article › peer-review

Harvard

Vasil’ev, VA 2021, 'Core and Superdifferential of a Fuzzy TU-Cooperative Game', Automation and Remote Control, vol. 82, no. 5, pp. 926-934. https://doi.org/10.1134/S0005117921050155

APA

Vasil’ev, V. A. (2021). Core and Superdifferential of a Fuzzy TU-Cooperative Game. Automation and Remote Control, 82(5), 926-934. https://doi.org/10.1134/S0005117921050155

Vancouver

Vasil’ev VA. Core and Superdifferential of a Fuzzy TU-Cooperative Game. Automation and Remote Control. 2021 May;82(5):926-934. doi: 10.1134/S0005117921050155

Author

Vasil’ev, V. A. / Core and Superdifferential of a Fuzzy TU-Cooperative Game. In: Automation and Remote Control. 2021 ; Vol. 82, No. 5. pp. 926-934.

BibTeX

@article{a43251a0914243f787fbc81a6ffe0acd,
title = "Core and Superdifferential of a Fuzzy TU-Cooperative Game",
abstract = "In the paper, we consider conditions providing the coincidence of the cores andsuperdifferentials of fuzzy cooperative games with side payments. It turned out that weakhomogeneity is one of the simplest sufficient conditions. Moreover, by applying the so-called S*-representation of a fuzzy game introduced by theauthor, we show that for any v with nonempty core C(v) there exists some game u such that C(v) coincides with the superdifferential of u. By applying the subdifferential calculus, wedescribe a structure of the core for classical fuzzy extensions of the ordinary cooperative game(e.g., the Aubin and Owen extensions) as well as for some new continuations, like the generalizedAirport game.",
keywords = "fuzzy cooperative game, S*-representation, superdifferential, the core of a fuzzy game, weak homogeneity",
author = "Vasil{\textquoteright}ev, {V. A.}",
note = "Funding Information: This work was supported by the Russian Foundation for Basic Research, project no. 19-010-00910. Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",
year = "2021",
month = may,
doi = "10.1134/S0005117921050155",
language = "English",
volume = "82",
pages = "926--934",
journal = "Automation and Remote Control",
issn = "0005-1179",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "5",

}

RIS

TY - JOUR

T1 - Core and Superdifferential of a Fuzzy TU-Cooperative Game

AU - Vasil’ev, V. A.

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research, project no. 19-010-00910. Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/5

Y1 - 2021/5

N2 - In the paper, we consider conditions providing the coincidence of the cores andsuperdifferentials of fuzzy cooperative games with side payments. It turned out that weakhomogeneity is one of the simplest sufficient conditions. Moreover, by applying the so-called S*-representation of a fuzzy game introduced by theauthor, we show that for any v with nonempty core C(v) there exists some game u such that C(v) coincides with the superdifferential of u. By applying the subdifferential calculus, wedescribe a structure of the core for classical fuzzy extensions of the ordinary cooperative game(e.g., the Aubin and Owen extensions) as well as for some new continuations, like the generalizedAirport game.

AB - In the paper, we consider conditions providing the coincidence of the cores andsuperdifferentials of fuzzy cooperative games with side payments. It turned out that weakhomogeneity is one of the simplest sufficient conditions. Moreover, by applying the so-called S*-representation of a fuzzy game introduced by theauthor, we show that for any v with nonempty core C(v) there exists some game u such that C(v) coincides with the superdifferential of u. By applying the subdifferential calculus, wedescribe a structure of the core for classical fuzzy extensions of the ordinary cooperative game(e.g., the Aubin and Owen extensions) as well as for some new continuations, like the generalizedAirport game.

KW - fuzzy cooperative game

KW - S-representation

KW - superdifferential

KW - the core of a fuzzy game

KW - weak homogeneity

UR - http://www.scopus.com/inward/record.url?scp=85107369331&partnerID=8YFLogxK

U2 - 10.1134/S0005117921050155

DO - 10.1134/S0005117921050155

M3 - Article

AN - SCOPUS:85107369331

VL - 82

SP - 926

EP - 934

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 5

ER -

ID: 34055999