Optimality Conditions for Fuzzy Optimization Problems under Metric Based Derivative

Authors

  • Cemil Tunc
  • Awais Younus Bahauddin Zakariya University
  • Iram Ghaffar Bahauddin Zakariya University

Keywords:

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

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.

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Published

2022-05-30

Issue

Vol. 16

Section

Vol. 16, No. 11, (2022)

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