Existence of Hukuhara Differentiability of Fuzzy-Valued Functions

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Authors

  • U. M. Pirzada
     School of Science and Engineering, Navrachana University of Vadodara-391410 ,IN
  • D. C. Vakaskar
     Department of Applied Mathematics, Faculty of Tech. & Engg., M.S.University of Baroda, Vadodara-390001 ,IN

DOI:

https://doi.org/10.18311/jims/2017/5824

Keywords:

Fuzzy-valued Functions, Hukuhara Differentiability, Fuzzy Modelling

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.

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Published

2017-07-01

How to Cite

Pirzada, U. M., & Vakaskar, D. C. (2017). Existence of Hukuhara Differentiability of Fuzzy-Valued Functions. The Journal of the Indian Mathematical Society, 84(3-4), 239–254. https://doi.org/10.18311/jims/2017/5824

Issue

Volume 84, Issue 3-4, July-December 2017

Section

Articles

License

Copyright (c) 2017 U. M. Pirzada, D. C. Vakaskar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2016-05-27
Accepted 2017-04-04
Published 2017-07-01

 

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