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Generalized Lebesgue integrals of fuzzy complex valued functions. (English) Zbl 1134.30338

Summary: On the basis of the theory of fuzzy complex numbers introduced by J. J. Buckley [Fuzzy Sets Syst. 33, No. 3, 333–345 (1989; Zbl 0739.30038)], we define fuzzy complex valued measurable functions, fuzzy complex valued fuzzy measures and corresponding generalized Lebesgue integrals of the fuzzy complex valued functions. Furthermore, some basic properties and convergence theorems with respect to this kind of Lebesgue integrals will be discussed.

MSC:

30G35 Functions of hypercomplex variables and generalized variables

Citations:

Zbl 0739.30038
Full Text: DOI

References:

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