A \((\star, \ast)\)-based Minkowski’s inequality for Sugeno fractional integral of order \(\alpha > 0\). (English) Zbl 1318.26007
Summary: 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 \(\star\), \(\ast\) 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.
Keywords:
Sugeno integral; Sugeno fractional integral; Minkowski’s inequality; fuzzy integral; fuzzy measureReferences:
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