The integral of a fuzzy mapping over a directed line

Authors:
H. Li;C. Wu
Affiliations:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

In this paper, we present the concept of directed line in fuzzy number space E, the definitions of integral and differential of fuzzy mappings from the directed line of fuzzy number space E into E, discuss their properties and obtain a theorem which is similar to the fundamental theorem of classical calculus.