∧-Homogeneity properties of seminormed fuzzy integrals

This paper is concerned with the “maxitivity” and “homogeneity” of integrals, in a very general setting. For the semi(co)normed fuzzy integrals, we study the maxitivity, minitivity, and ∧-homogeneity (∨-homogeneity) properties. Some necessary conditions for the fuzzy integrals to have such homogeneity properties are obtained.