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On gH-differentiable harmonic invex fuzzy mappings and its applications

Author

Listed:
  • Minakshi Parida
  • Sunita Chand

Abstract

In this paper, harmonic invex (H-invex) and harmonic incave (H-incave) fuzzy mappings have been introduced by using the concept of gH-differentiability and many important results have been obtained related to pseudoinvex (pseudoincave), quasiinvex (quasiincave), H-preinvex (H-preincave), η-monotone, η-dissipative, pseudoinvex monotone and pseudoincave dissipative fuzzy mappings. The results obtained have been justified with suitable examples. Furthermore, gH-differentiable H-invex fuzzy mappings have also been applied to study the KKT conditions for harmonic invex fuzzy programming problem (HIFP), duality results and minmax problem.

Suggested Citation

  • Minakshi Parida & Sunita Chand, 2020. "On gH-differentiable harmonic invex fuzzy mappings and its applications," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(4), pages 491-523.
    • Handle: RePEc:ids:ijores:v:37:y:2020:i:4:p:491-523
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