In the paper, we extend fuzzy integrals of point-valued functions which were defined by Ralescu and Adams to set-valued functions. Some properties similar to Auman integrals are shown, and these include convexity, monotonicity, Fatou's lemma, Lebesgue convergence theorem, etc.
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College of Mathematics, Changchun Normal University, Changchun,130032, ChinaCollege of Mathematics, Changchun Normal University, Changchun,130032, China
Zhang, Deli
Guo, Caimei
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College of Science, Changchun University, Changchun,130022, ChinaCollege of Mathematics, Changchun Normal University, Changchun,130032, China
Guo, Caimei
Chen, Degang
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Department of Mathematics and Physics, North China Electric Power University, Beijing,100080, ChinaCollege of Mathematics, Changchun Normal University, Changchun,130032, China
Chen, Degang
Wang, Guijun
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College of Mathematics, Tianjin Normal University, Tianjin,300387, ChinaCollege of Mathematics, Changchun Normal University, Changchun,130032, China