Extension of null-additive set functions on algebra of subsets. (English) Zbl 1003.28012

The main result (Theorem 2) is on extensions of null-additive set functions (Z. Wang [J. Math. Anal. Appl. 99, 195-218 (1984; Zbl 0581.28003)]; H. Suzuki [J. Math. Anal. Appl. 132, No. 1, 87-101 (1988; Zbl 0649.28015)]; E. Pap [Zb. Rad., Prir.-Mat. Fak. Univ. Novom Sadu, Ser. Mat. 25, No. 2, 93-101 (1995; Zbl 0901.28015)]) from a ring of subsets of a given set to the algebra of subsets generated by this ring.


28E10 Fuzzy measure theory
28A25 Integration with respect to measures and other set functions
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