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L-Fuzzy集合上的Fuzzy值函数关于Fuzzy值Fuzzy测度的Fuzzy值Fuzzy积分
引用本文:张广全. L-Fuzzy集合上的Fuzzy值函数关于Fuzzy值Fuzzy测度的Fuzzy值Fuzzy积分[J]. 河北大学学报(自然科学版), 1993, 0(2)
作者姓名:张广全
作者单位:河北大学数学系
基金项目:国家自然科学基金资助课题
摘    要:文[3]在L-Fuzzy集合上引入了Fuzzy值Fuzzy测度与实值函数关于Fuzzy值,Fuzzy测度的Fuzzy值Fuzzy积分,并讨论了它们的性质,得到了一系列有意义的结果。本文在L-Fuzzy集合上引入Fuzzy值函数关于Fuzzy值Fuzzy测度的Fuzzy值Fuzzy积分,给出上述概念的几个等价定义,讨论了这种积分的一些基本性质。

关 键 词:L-Fuzzy集合  Fuzzy数  Fuzzy测度  Fuzzy积分

Fuzzy Number-valued Fuzzy Integral of Fuzzy Number-valued Function with Respect of Fuzzy Number-valued Fuzzy Measure on the L-fuzzy Set
Zhang Guangquan. Fuzzy Number-valued Fuzzy Integral of Fuzzy Number-valued Function with Respect of Fuzzy Number-valued Fuzzy Measure on the L-fuzzy Set[J]. Journal of Hebei University (Natural Science Edition), 1993, 0(2)
Authors:Zhang Guangquan
Affiliation:Department of Mathematics
Abstract:Zhang [3] introduced the fuzzy number- valued fuzzy measure and the fuzzy number- valued fuzzy integral of real- valued function with respect to fuzzy number- valuedfuzzy measare on the L- fuzzy set , and discussed their properties , and obtained some interesting results .In this paper , we introduceda concept of fuzzy number-valued fuzzy intergral of fuzzy number-valued function with respect to fuzzy number-valued fuzzymeasure on the L-fuzzy set, give some equivalant definitions of the concept mentioned above, obtain a series of elementary properties of fuzzy number-valued fuzzy intergral of fuzzy number- valued function.
Keywords:Fuzzy number L-Fuzzy Set Fuzzy measure Fuzzy integral
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