On sufficient condition for the Egoroff theorem of an ordered vector space-valued non-additive measure

Authors:
Toshikazu Watanabe
Affiliations:
College of Science and Technology, Nihon University, 1-8-14 Kanda-Surugadai, Chiyoda-ku, Tokyo 101-8308, Japan
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

In this paper, we show that the Egoroff theorem remains valid for any ordered vector space-valued non-additive measure if the measure is multiple continuous from above and continuous from below.