【摘要】 本文利用文[2]所给出的Fuzzy数测度的概念,定义了(—)fuzzy值函数关于(—)fuzzy数测度的积分,并且研究了这种积分的性质,得到了各种收敛定理,其中包括广义Lebesgue单调收敛定理、Fatou引理及Lebesgue控制收敛定理。在最后,讨论了(—)fuzzy数测度的R—N导数的存在性,并且给出了Fubini定理。更多还原

【Abstract】 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.更多还原