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《Fuzzy Systems and Mathematics》 1993-01
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Fuzzy Number Measure and Integral

Zhang Deli (Dept. of Math. Jilin Prov. Inst. of Education) Wang Zixiao (Dept. of Math. Northeast Normal University)  
In this paper, using the concept given in ref [2], the integral of R~fuzzy valued function related to R~fuzzy. number measure is defined, and its properties are investigated, then the various kinds of Convergence Theorem are obtained, these include general Lebesgue Monotone Convergence Theorem, Fatou's Lemma, Lebesgue Dominated Convergence Theorem. At last, the existence of R—N derivative of R~fuzzy number measure is discussed, and Radon-Nikodym Theorem is obtained, then the Fubini Theorem is given.
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