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- Title
A Young's inequality for the Sugeno integrals.
- Authors
Hassanzadeh, Ali
- Abstract
In this paper we study the Young's inequality for the Sugeno integral. Indeed we investigate the integral inequality ... in fuzzy version, where f is a continuous and increasing function on [0, c] (c > 0), a ∈ [0, c], b ∈ [0, f(c)] and f-1 stands for the inverse function of f. Some relevant counterexamples are indicated. Finally we derive a new inequality for the classical Young's inequality in fuzzy version.
- Subjects
INTEGRALS; INVERSE functions; FUZZY measure theory; MONOTONE operators; PROBABILITY theory
- Publication
General Mathematics, 2017, Vol 25, Issue 1/2, p61
- ISSN
1221-5023
- Publication type
Article