On differentiable harmonic univex fuzzy mappings and its applications to fuzzy mathematical programming problem

Minakshi Parida and Sunita Chand

International Journal of Mathematics in Operational Research, 2019, vol. 15, issue 4, 464-497

Abstract: In this paper, harmonic preunivex (H-preunivex) and harmonic preunicave (H-preunicave) fuzzy mappings have been introduced and several interesting results have been obtained related to generalised convexity. By using the concept of differentiability with H-preunivex and H-preunicave fuzzy mappings, harmonic univex (H-univex) and harmonic unicave (Hunicave) fuzzy mappings have been obtained respectively. Furthermore, H-univex and pseudo H-univex fuzzy mappings have been applied to study the sufficient optimality conditions and the duality results for Harmonic univex fuzzy programming problem (HUFP). Moreover, KKT conditions for the HUFP have been studied by using the H-univex fuzzy mappings. Suitable examples have been given to illustrate the results.

Keywords: fuzzy optimisation; H-preunivex; H-preunicave; H-univex; H-unicave; fuzzy mappings; sufficient optimality conditions; duality results. (search for similar items in EconPapers)
Date: 2019
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