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Pirzada, U. M.
- Necessary and Sufficient Optimality Conditions for Nonlinear Unconstrained Fuzzy Optimization Problem
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1 Department of Applied Maths., Faculty of Tech. & Engg., M. S. University of Baroda, Vadodara-390001, IN
1 Department of Applied Maths., Faculty of Tech. & Engg., M. S. University of Baroda, Vadodara-390001, IN
Source
The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 141-155Abstract
Nonlinear unconstrained fuzzy optimization problem is considered in this paper. Using the concept of convexity and Hukuhara differentiability of fuzzy-valued functions, the necessary and sufficient optimality conditions are derived.Keywords
Fuzzy Numbers, Hukuhara Differentiability and Non-Dominated Solution.
- Existence of Hukuhara Differentiability of Fuzzy-Valued Functions
Abstract Views :327 |
PDF Views:2
Authors
Affiliations
1 School of Science and Engineering, Navrachana University of Vadodara-391410, IN
2 Department of Applied Mathematics, M. S. University of Baroda, Vadodara-390001, IN
1 School of Science and Engineering, Navrachana University of Vadodara-391410, IN
2 Department of Applied Mathematics, M. S. University of Baroda, Vadodara-390001, IN
Source
The Journal of the Indian Mathematical Society, Vol 84, No 3-4 (2017), Pagination: 239-254Abstract
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
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