An Analog of the Bondareva–Shapley Theorem. II. Examples of V-Balanced Fuzzy Games

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An Analog of the Bondareva–Shapley Theorem. II. Examples of V-Balanced Fuzzy Games. / Vasil’ev, V. A.

In: Automation and Remote Control, Vol. 82, No. 2, 02.2021, p. 364-374.

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

BibTeX

@article{94954e01664a4d31b0876d0bb4b73072,

title = "An Analog of the Bondareva–Shapley Theorem. II. Examples of V-Balanced Fuzzy Games",

abstract = "This paper continues the research work [2], which generalizes the well-known Bondareva–Shapleytheorem to the case of fuzzy cooperative n-player games. Theconditions of V-balancedness are studied for three classes of fuzzygames as follows: 1) fuzzy transferable utility (TU) market games [3]; 2) fuzzy games associated with the linear-productionmodels [6]; 3) fuzzy games generated by therational distribution models of public costs during the construction of transport infrastructurefacilities (the so-called airport games [5]). Inaddition to the conditions guaranteeing the non-emptiness of the cores, some types ofnon-dominated imputations of these games are also described. For the fuzzy airport games, such adescription is exhaustive.",

keywords = "core of fuzzy cooperative game, fuzzy airport game, fuzzy cooperative game, fuzzy LP-game, fuzzy TU market game, V-balancedness",

author = "Vasil{\textquoteright}ev, {V. A.}",

note = "Funding Information: This work was supported by the Russian Foundation for Basic Research, project no. 16-06-00101. Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2021",

month = feb,

doi = "10.1134/S0005117921020148",

language = "English",

volume = "82",

pages = "364--374",

journal = "Automation and Remote Control",

issn = "0005-1179",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - An Analog of the Bondareva–Shapley Theorem. II. Examples of V-Balanced Fuzzy Games

AU - Vasil’ev, V. A.

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research, project no. 16-06-00101. Publisher Copyright: © 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/2

Y1 - 2021/2

N2 - This paper continues the research work [2], which generalizes the well-known Bondareva–Shapleytheorem to the case of fuzzy cooperative n-player games. Theconditions of V-balancedness are studied for three classes of fuzzygames as follows: 1) fuzzy transferable utility (TU) market games [3]; 2) fuzzy games associated with the linear-productionmodels [6]; 3) fuzzy games generated by therational distribution models of public costs during the construction of transport infrastructurefacilities (the so-called airport games [5]). Inaddition to the conditions guaranteeing the non-emptiness of the cores, some types ofnon-dominated imputations of these games are also described. For the fuzzy airport games, such adescription is exhaustive.

AB - This paper continues the research work [2], which generalizes the well-known Bondareva–Shapleytheorem to the case of fuzzy cooperative n-player games. Theconditions of V-balancedness are studied for three classes of fuzzygames as follows: 1) fuzzy transferable utility (TU) market games [3]; 2) fuzzy games associated with the linear-productionmodels [6]; 3) fuzzy games generated by therational distribution models of public costs during the construction of transport infrastructurefacilities (the so-called airport games [5]). Inaddition to the conditions guaranteeing the non-emptiness of the cores, some types ofnon-dominated imputations of these games are also described. For the fuzzy airport games, such adescription is exhaustive.

KW - core of fuzzy cooperative game

KW - fuzzy airport game

KW - fuzzy cooperative game

KW - fuzzy LP-game

KW - fuzzy TU market game

KW - V-balancedness

UR - http://www.scopus.com/inward/record.url?scp=85102399141&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/0d01038e-2da2-3bec-9daf-c8751c567718/

U2 - 10.1134/S0005117921020148

DO - 10.1134/S0005117921020148

M3 - Article

AN - SCOPUS:85102399141

VL - 82

SP - 364

EP - 374

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 2

ER -

ID: 28073344