Abstract
On a fuzzy σ-algebra of fuzzy sets, we discuss some structural characteristics of a fuzzy measure, the (pseudo-) autocontinuity and some other concepts for a fuzzy measure are introduced and the relations between these cre discussed. For the case of fuzzy sets, Riesz's theorems and Lebesgue's theorems for a sequence of measurable functions are proved. The concept of the fuzzy integral on a fuzzy set is given and some properties of fuzzy integrals on fuzzy sets are studied. Finally, we prove some convergence theorems of a sequence of fuzzy integrals on fuzzy sets.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have