K-拟可加模糊数值积分的自连续性  

AUTOCONTINUITY OF K-QUASI-ADDITIVE FUZZY NUMBER VALUED INTEGRALS

作　　者：王贵君[1] 李晓萍[2] 

机构地区：[1]天津师范大学数学科学学院,天津300074 [2]天津理工大学理学院,天津300191

出　　处：《数学杂志》2006年第6期635-641,共7页Journal of Mathematics

基　　金：国家自然科学基金项目(70571056);天津市高校科技发展基金项目(20031410).

摘　　要：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。这些特性能更好地描述模糊值可测函数列和K-拟可加模糊数值积分序列的收敛性。In this paper, we establish the K-quasi-additive fuzzy number valued integrals on the K-quasiadditive 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. These characteristics can be used well to describe the convergence properties of sequences of fuzzy valued measurable functions and K- quasi-additive fuzzy number valued integrals.

关 键 词：上(下)自连续 逆下(上)自连续 μ-可积 K-拟可加模糊数值积分 积分转换定理 

分 类 号：O159[理学—数学]