Necessary and Sufficient Optimality Conditions for Nonlinear Unconstrained Fuzzy Optimization Problem

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Authors

  • Department of Applied Maths., Faculty of Tech. & Engg., M. S. University of Baroda, Vadodara-390001 ,IN
  • Department of Applied Maths., Faculty of Tech. & Engg., M. S. University of Baroda, Vadodara-390001 ,IN

Keywords:

Fuzzy Numbers, Hukuhara Differentiability and Non-Dominated Solution.

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.