A note on the sendograph metric of fuzzy numbers

Authors:
Congxin Wu;Hongliang Li;Xuekun Ren
Affiliations:
Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, PR China;Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, PR China;Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, PR China
Venue:
Information Sciences: an International Journal
Year:
2009

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Abstract

In this paper, by studying the attainable properties of sendograph metric in fuzzy number space, we generalize Monotone convergence theorem and Nested theorem of intervals from the space of real numbers to the space of fuzzy numbers.