On gH-differentiable harmonic invex fuzzy mappings and its applications
by Minakshi Parida; Sunita Chand
International Journal of Operational Research (IJOR), Vol. 37, No. 4, 2020

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.

Online publication date: Fri, 13-Mar-2020

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