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Existence of Hukuhara Differentiability of Fuzzy-Valued Functions


Affiliations
1 School of Science and Engineering, Navrachana University of Vadodara-391410, India
2 Department of Applied Mathematics, M. S. University of Baroda, Vadodara-390001, India
     

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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

Fuzzy-valued Functions, Hukuhara Differentiability, Fuzzy Modelling.
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  • 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, India
D. C. Vakaskar
Department of Applied Mathematics, M. S. University of Baroda, Vadodara-390001, India

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


Fuzzy-valued Functions, Hukuhara Differentiability, Fuzzy Modelling.

References