A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory
نویسندگان
چکیده
This paper is a brief summary of “M.Takahashi, T.Murofushi, S.Asahina, A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory, Fuzzy Sets and Systems, to appear.” This paper states that a newly defined condition, called condition (M), is a necessary and sufficient condition for the Egoroff theorem in non-additive measure theory. The existing necessary and sufficient conditions for the Egoroff theorem are described by a doubly-indexed sequence of measurable sets, while condition (M) is described by a singly-indexed sequence of measurable sets.
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 244 شماره
صفحات -
تاریخ انتشار 2014