Measurablility concepts for fuzzy mappings

Abstract In a series of recent works alternative measurability concepts for fuzzy mappings were introduced and studied. In this paper we show that some of these concepts are equivalent or strongly inter-related.

[1]  D. Ralescu Toward a general theory of fuzzy variables , 1982 .

[2]  M. Puri,et al.  Limit theorems for fuzzy random variables , 1986, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[3]  R. Aumann INTEGRALS OF SET-VALUED FUNCTIONS , 1965 .

[4]  H. Rådström An embedding theorem for spaces of convex sets , 1952 .

[5]  D. Butnariu Additive fuzzy measures and integrals, III , 1983 .

[6]  M. Puri,et al.  Fuzzy Random Variables , 1986 .