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K-拟可加模糊数值积分的伪自连续及结构特征
引用本文:王贵君,李晓萍,周立群.K-拟可加模糊数值积分的伪自连续及结构特征[J].应用数学学报,2010,33(1).
作者姓名:王贵君  李晓萍  周立群
作者单位:1. 天津师范大学数学科学学院,天津,300387
2. 天津师范大学管理学院,天津,300387
摘    要:在K-拟可加模糊测度空间上,针对给出的K-拟可加模糊数值积分,将这种积分整体看成可测空间上取值于模糊数值的集函数,进而研究这种K-拟可加模糊积分的伪上(下)自连续、伪一致上(下)自连续和伪双零渐近可加性等结构特征.

关 键 词:K-拟可加模糊测度  K-拟可加模糊数值积分  伪上(下)自连续  伪一致上(下)自连续  伪双零渐近可加

The Pseudo-Autocontinuity and Structural Characteristics of K-Quasi-additive Fuzzy Number Valued Integrals
WANG GUIJUN,LI XIAOPING,ZHOU LIQUN.The Pseudo-Autocontinuity and Structural Characteristics of K-Quasi-additive Fuzzy Number Valued Integrals[J].Acta Mathematicae Applicatae Sinica,2010,33(1).
Authors:WANG GUIJUN  LI XIAOPING  ZHOU LIQUN
Abstract:On the K-quasi-additive fuzzy number valued measure space, aim at given the K-quasi-additive fuzzy number-valued integrals, and regard the whole this kind of integrals as a set function taken valued fuzzy numbers on the measurable spaces, we study their pseudo-autocontinuity from above (below), pseudo-uniform autocontinuity from above (below) and pseudo-double-null asymptotic additivity etc. structural characteristics.
Keywords:K-quasi-additive fuzzy measures  K-quasi-additive fuzzy number-valued integrals  pseudo-autocontinuity from above (below)  pseudo-uniform autocontinuity from above (below)  pseudo-double-null asymptotic additivity
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