新序结构下函数列的伪依集值模糊测度收敛  

The Pseudo-convergence of Sequence of Functions in Set-valued Fuzzy Measures in a New Order Structure

作　　者：赵新虎[1] 王贵君[1] 周立群[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《模糊系统与数学》2011年第2期114-119,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60974144)

摘　　要：在m维正欧氏空间中引入一种新序结构,并由此序结构在集值模糊测度空间上给出可测函数序列伪依集值模糊测度收敛、(伪)依集值模糊测度几乎处处收敛、PS性和PS′性等概念,进而研究了伪依模糊测度收敛和(伪)几乎处处收敛之间的关系,获得相应的Lebesgue定理和Riesz定理。By introducing a new order on the class of subsets of an m-dimensional positive Euclid space,the concepts of（pseudo-） convergence,（pseudo-） almost everywhere convergence of sequence of measurable functions in the set-valued fuzzy measure,propeties of PS and PS′are discussed in the set-valued fuzzy measure space.Then the mutual relationship between pseudo-convergence and（pseudo-） almost everywhere convergence in the set-valued fuzzy measure were studied,and Lebesgue theorem and Riesz theorem are obtained.

关 键 词：集值模糊测度 (伪)几乎处处收敛 (伪)依π收敛 RIESZ定理 PS性 

分 类 号：O159[理学—数学]