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.
Предметные области OECD FOS+WOS
- 2.02 ЭЛЕКТРОТЕХНИКА, ЭЛЕКТРОННАЯ ТЕХНИКА, ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ
- 2.11 ПРОЧИЕ ТЕХНОЛОГИИ
- 2.02.AC СИСТЕМЫ АВТОМАТИЗАЦИИ И УПРАВЛЕНИЯ
- 2.11.OA ИНСТРУМЕНТЫ И ИЗМЕРИТЕЛЬНЫЕ ПРИБОРЫ.