一般模糊Choquet-可积函数空间上积分性质的补充及拓展  

The supplement and expansion of the integral properties on the general fuzzy Choquet integrable function space

作　　者：李默涵[1] 李艳红[1] 

机构地区：[1]辽东学院师范学院数学系,辽宁丹东118003

出　　处：《东北师大学报（自然科学版）》2013年第3期25-29,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60974144)

摘　　要：在一般模糊测度空间上,借助模糊Choquet-可积函数的基本性质,对一般模糊Choquet-可积函数空间构成凸锥的等价条件给出了补充证明,并讨论了一般模糊Choquet-可积函数空间构成凸锥的一些扩展性质.On the general fuzzy measurable space, this paper, with general fuzzy integrable function, provides the supplemental the help of the basic properties of the construction of convex cone on the space of general fuzzy Choquet proofs integr to equivalent conditions of able function. the expanded nature composed convex cone on the general fuzzy Choquet integrable It also discusses function space.The results are significant for further studies on Choquet integral theories.

关 键 词：模糊Choquet积分 模糊Choquet-可积函数 凸锥 零可加 双零可加 

分 类 号：O159[理学—数学]