Generalized Nabla Differentiability and Integrability for Fuzzy Functions on Time Scales

Abstract

This paper mainly deals with introducing and studying the properties of generalized nabla differentiability for fuzzy functions on time scales via Hukuhara difference. Further, we obtain embedding results on E n for generalized nabla differentiable fuzzy functions. Finally, we prove a fundamental theorem of a nabla integral calculus for fuzzy functions on time scales under generalized nabla differentiability. The obtained results are illustrated with suitable examples.

Keywords

• fuzzy functions time scales
• Hukuhara difference
• generalized nabla Hukuhara derivative
• fuzzy nabla integral