Optimality Conditions for Fuzzy Optimization Problems under Metric Based Derivative

Cemil Tunc, Awais Younus, Iram Ghaffar

Abstract


In this paper, we consider fuzzy optimization problemsmore general than all those exist in the literature by using the concept ofmetric based differentiability of fuzzy-valued functions. We get necessaryoptimality conditions based on fuzzy stationary point definition, and weprove that these conditions are also sufficient under new fuzzy invexitynotions.

Keywords


Fuzzy-valued functions; fuzzy invexity; $\mathbf{G}% \mathsf{H}$-differentiability; metric based differentiability; fuzzy stationary point

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