English

Existence of Hukuhara differentiability of fuzzy-valued functions

General Mathematics 2017-11-27 v1

Abstract

In this paper, we discuss existence of Hukuhara differentiability of fuzzy-valued functions. Several examples are worked out to check that fuzzy-valued functions are one time, two times and n-times H-differentiable. We study the effects of fuzzy modelling on existence of Hukuhara differentiability of fuzzy-valued functions. We discuss existence of gH-differentiability and its comparison with H-differentiability.

Keywords

Cite

@article{arxiv.1609.04748,
  title  = {Existence of Hukuhara differentiability of fuzzy-valued functions},
  author = {U. M. Pirzada and D. C. Vakaskar},
  journal= {arXiv preprint arXiv:1609.04748},
  year   = {2017}
}