Some integral inequalities for fuzzy-interval-valued functions

This study presents new fuzzy versions of Minkowski and Beckenbach's integral inequalities without making use of the Sugeno integral. These new inequalities generalize the interval versions of the Minkowski and Beckenbach inequalities recently published and are obtained by introducing the p−FA−integrability concept for fuzzy-interval-valued functions by means of the Kaleva integral and a fuzzy order relation. This fuzzy order relation is defined level-wise through the Kulisch-Miranker order relation given on the interval space. Numerical examples that illustrate the applicability of the theory developed in this study are presented.