A survey of generalized derivatives and generalized subdifferential of convex fuzzy functions and their applications

Subject Areas : International Journal of Industrial Mathematics

F. Kavari ¹ , M. R. Baloochshahryari ² , O. Sedaghatfar ³

1 - گروه ریاضی، دانشکده علوم پایه، دانشگاه آزاد اسلامی واحد کرمان، کرمان، ایران
2 - گروه ریاضی، دانشکده علوم پایه، دانشگاه آزاد اسلامی واحد کرمان، کرمان، ایران
3 - Department of Mathematics, Shahr-e-rey Branch, Islamic Azad University, Shahr-e-Rey, Iran.

Received: 2023-08-25 Accepted : 2024-06-08 Published : 2024-09-02

Keywords: Convex fuzzy function, Generalized derivatives, Level-wise generalized Hukuhara subdifferential, Generalized subgradient, Generalized subdifferential, ,

Abstract :

We are interested in proposing the convex fuzzy functions from R into E to describe the concepts of left and right generalized derivatives. In this way, several properties of the concepts are discussed. As well, the notions of generalized subdifferential for these functions are studied and calculated. Finally, the properties of the concepts are illustrated and applied through some examples.