A set-valued Egoroff type theorem

Authors:
Anca Precupanu;Alina Gavriluţ
Affiliations:
Faculty of Mathematics, “Al.I. Cuza” University, Carol I Bd. 11, Iaşi 700506, Romania;Faculty of Mathematics, “Al.I. Cuza” University, Carol I Bd. 11, Iaşi 700506, Romania
Venue:
Fuzzy Sets and Systems
Year:
2011

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Abstract

In this paper, an Egoroff type theorem for a fuzzy multimeasure defined on a @s-algebra of subsets of an abstract space and taking values in the family of all nonvoid, closed subsets of a real normed space is established. Some necessary and/or sufficient conditions under which Egoroff's theorem is valid are also presented.