An approach for solving fuzzy rough non-cooperative continuous differential games
Subject Areas : International Journal of Industrial MathematicsMohamed Brikaa 1 * , Elsaed__Ebrahim__Ammar 2
1 - Department of Basic Science Faculty of Computers & amp; Informatics. Suez Canal University 41522, Ismailia, Egypt
2 - Tanta University- Faculty of Science Mathematics Department
Keywords: Non-cooperative games, Fuzzy rough, Differential games, Sufficient and necessary conditions.,
Abstract :
In this paper, we analyze the non-cooperative continuous differential games under fuzzy rough environment. We developed an effective and simple method for solving fuzzy rough non-cooperative continuous differential games. Moreover, the sufficient and necessary conditions for equilibrium strategies of the fuzzy rough continuous differential games are also derived. Finally, a numerical example is solved successfully to illustrate the effectiveness and practicality of the proposed approach.