Generalized Lebesgue integrals of fuzzy complex valued functions

  • Authors:
  • Guijun Wang;Xiaoping Li

  • Affiliations:
  • Department of Mathematics, Tianjin Normal University, Tianjin, 300074, People's Republic of China;Department of Mathematics, Tianjin Normal University, Tianjin, 300074, People's Republic of China

  • Venue:
  • Fuzzy Sets and Systems - Mathematics
  • Year:
  • 2002

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Abstract

In this paper, on the basis of the theory of fuzzy complex numbers introduced by Buckley, 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.