Title: On gH-differentiable harmonic invex fuzzy mappings and its applications

Authors: Minakshi Parida; Sunita Chand

Addresses: Department of Mathematics, Siksha 'O' Anusandhan University, Khandagiri Square, Bhubaneswar 751030, Odisha, India ' Department of Mathematics, Siksha 'O' Anusandhan University, Khandagiri Square, Bhubaneswar 751030, Odisha, India

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.

Keywords: fuzzy optimisation; H-invex; H-incave; gH-differentiable fuzzy mappings; KKT conditions; duality results; minmax problem.

DOI: 10.1504/IJOR.2020.105765

International Journal of Operational Research, 2020 Vol.37 No.4, pp.491 - 523

Received: 08 Jan 2017
Accepted: 05 May 2017

Published online: 03 Mar 2020 *

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