On gH-differentiable harmonic invex fuzzy mappings and its applications

Minakshi Parida and Sunita Chand

International Journal of Operational Research, 2020, vol. 37, issue 4, 491-523

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. (search for similar items in EconPapers)
Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=105765 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:37:y:2020:i:4:p:491-523

Access Statistics for this article

More articles in International Journal of Operational Research from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().