Article ID Journal Published Year Pages File Type
390593 Fuzzy Sets and Systems 2009 19 Pages PDF
Abstract

In this paper, we discuss the properties of the strong Henstock integrals of the fuzzy-number-valued functions using the notion of generalized derivatives, and prove the controlled convergence theorem for such integrals. Also, we present the concept of equi-integrability of a sequence for fuzzy-number-valued functions. Under this concept, we prove another controlled convergence theorem and establish the relationships between the above two controlled convergence theorems.

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