1) K-quasi-additive fuzzy number valued integral
对偶K-拟可加模糊值积分
1.
The first part: at first, on the K- quasi-additive fuzzy measures space, aiming at a kind of(?)-integrable fuzzy number valued functions, the dual K-quasi-additive fuzzy number valued integral is established by using Darboux upper-sum, and the new integral transformation theorem is obtained by introducing inductive operator K.
第一部分:首先在K-拟可加模糊测度空间上,针对一类(?)-可积模糊值函数,用达布上和定义了对偶K-拟可加模糊值积分,并通过引入诱导算子K获得这种新型积分的转换定理。
2) K-quasi-additive fuzzy number valued integrals
K-拟可加模糊数值积分
1.
In this paper, we establish the K-quasi-additive fuzzy number valued integrals on the K-quasi-additive fuzzy measure space, and applying the integral transformation theorem, regard the whole kind of integrals as a set functions taking valued fuzzy numbers on the measurable spaces, which makes this kind of fuzzy integrals possess not only autocontinuity but also converse-autocontinuity.
本文在K-拟可加模糊测度空间上建立了K-拟可加模糊数值积分,利用其积分转换定理和诱导算子的性质,将这种积分整体看成可测空间上取值于模糊值和集函数,从而使得这种模糊积分不仅具有自连续性,而且也满足逆自连续性。
3) K-quasiadditive set-valued fuzzy integrals
K-拟可加集值模糊积分
5) K-pseudo additive fuzzy integral
K-拟可加模糊积分
6) K-quasi-additive fuzzy measures
K-拟可加模糊测度
1.
On the K-quasi-additive fuzzy measures space, aim at a kind of μ-integrable fuzzy number valued functions, we establish the K-quasi-additive fuzzy number valued integral in this paper, and obtain the integral transformation theorem by introducing inductive operator K.
在K-拟可加模糊测度空间上,针对一类(?)-可积模糊数值函数,建立了所谓的K-拟可加模糊数值积分,并通过引入诱导算子K,获得这种积分的转换定理,进而研究这种K-拟可加模糊数值积分的一些重要性质,同时给出了它的一系列收敛定理,从而丰富了模糊数学的积分理论。
补充资料：对偶
修辞方式，用对称的字句加强语言的效果。如：下笔千言，离题万里。沉舟侧畔千帆过，病树前头万木春。参看〖律诗〗、〖骈文〗。
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