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Core and Superdifferential of a Fuzzy TU-Cooperative Game Научная публикация

Журнал Automation and Remote Control
ISSN: 0005-1179 , E-ISSN: 1608-3032
Вых. Данные Год: 2021, Том: 82, Номер: 5, Страницы: 926-934 Страниц : 9 DOI: 10.1134/S0005117921050155
Ключевые слова fuzzy cooperative game; S*-representation; superdifferential; the core of a fuzzy game; weak homogeneity
Авторы Vasil’ev V.A. 1,2
Организации
1 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
2 Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Реферат: 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. © 2021, Pleiades Publishing, Ltd.
Библиографическая ссылка: Vasil’ev V.A.
Core and Superdifferential of a Fuzzy TU-Cooperative Game
Automation and Remote Control. 2021. V.82. N5. P.926-934. DOI: 10.1134/S0005117921050155 WOS Scopus OpenAlex
Оригинальная: Васильев В.А.
Ядро и супердифференциал нечеткой TU-кооперативной игры
Математическая теория игр и ее приложения. 2020. Т.12. №2. С.20-35. РИНЦ
Идентификаторы БД:
Web of science: WOS:000656916600015
Scopus: 2-s2.0-85107369331
OpenAlex: W3113723409
Цитирование в БД:
БД Цитирований
Scopus 2
Web of science 1
OpenAlex 2
Альметрики: