Title: Hermite Hadamard and Fejer type integral inequalities for harmonic convex (concave) fuzzy mappings

Authors: Minakshi Parida; Sunita Chand

Addresses: Department of Mathematics, Seemanta Engineering College, Jharpokharia, Mayurbhanj 757086, Odisha, India ' Department of Mathematics, Siksha 'O' Anusandhan (Deemed to be University), Khandagiri Square, Bhubaneswar 751030, Odisha, India

Abstract: In this paper the Hermite Hadamard and Fejer type integral inequalities for harmonic convex (H-convex) and harmonic concave (H-concave) fuzzy mappings have been studied by using ranking value function. Furthermore, Hermite Hadamard inequality via Sugeno fuzzy integral has been given for H-concave fuzzy mappings. Moreover, the upper bound of the Sugeno fuzzy integral has been obtained for the H-concave fuzzy mapping by using ranking value function and the results have been justified with suitable examples.

Keywords: fuzzy numbers; H-convex (H-concave) fuzzy mappings; Hermite Hadamard inequality; Fejer type inequality; Sugeno fuzzy integral.

DOI: 10.1504/IJMOR.2021.112270

International Journal of Mathematics in Operational Research, 2021 Vol.18 No.1, pp.1 - 20

Received: 19 Nov 2018
Accepted: 25 Jul 2019
Published online: 06 Jan 2021 *

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