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

Minakshi Parida and Sunita Chand

International Journal of Mathematics in Operational Research, 2021, vol. 18, issue 1, 1-20

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. (search for similar items in EconPapers)
Date: 2021
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