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Journal Article

A (star)-BASED MINKOWSKI'S INEQUALITY FOR SUGENO FRACTIONAL INTEGRAL OF ORDER alpha > 0

Babkhani A., Agahi H., Mesiar Radko

: Fractional Calculus and Applied Analysis vol.18, 4 (2015), p. 862-874

: fuzzy integral, Sugeno fractional integral, Minkowski's inequality

: 10.1515/fca-2015-0052

: http://library.utia.cas.cz/separaty/2015/E/mesiar-0446629.pdf

(eng): We first introduce the concept of Sugeno fractional integral based on the concept of g-seminorm. Then Minkowski's inequality for Sugeno fractional integral of the order alpha > 0 based on two binary operations * is given. Our results significantly generalize the previous results in this field of fuzzy measure and fuzzy integral. Some examples are given to illustrate the results.

: BA

2019-01-07 08:39