The Journal of the Indian Mathematical Society

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Necessary and Sufficient Optimality Conditions for Nonlinear Unconstrained Fuzzy Optimization Problem


Affiliations
1 Department of Applied Maths., Faculty of Tech. & Engg., M. S. University of Baroda, Vadodara-390001, India
     

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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.
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  • Necessary and Sufficient Optimality Conditions for Nonlinear Unconstrained Fuzzy Optimization Problem

Abstract Views: 230  |  PDF Views: 0

Authors

V. D. Pathak
Department of Applied Maths., Faculty of Tech. & Engg., M. S. University of Baroda, Vadodara-390001, India
U. M. Pirzada
Department of Applied Maths., Faculty of Tech. & Engg., M. S. University of Baroda, Vadodara-390001, India

Abstract


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.