Title of article :
Optimality Conditions for Fuzzy Optimization Problems under Metric Based Derivative
Author/Authors :
Younus, A Bahauddin Zakariya University , Ghaffar, I Bahauddin Zakariya University , Tunc, C Van Yuzuncu Yil University
Abstract :
In this paper, we consider fuzzy optimization problems more
general than all those that exist in the literature by using the concept
of metric-based differentiability of fuzzy-valued functions. We get necessary
optimality conditions based on fuzzy stationary point definition,
and we prove these conditions are also sufficient under new fuzzy invexity
notions. We illustrate these results with numerical examples.
Keywords :
fuzzy stationary point , metric based differentiability , GHdifferentiability , fuzzy invexity , Fuzzy-valued functions
Journal title :
Journal of Mathematical Extension(IJME)
