关于Fuzzy测度自连续性几个重要性质的证明  

Proofs on some important properties of autocontinuity of Fuzzy measure

作　　者：熊启才[1] 曹吉利[1] 杨立夫[1] 王会战[1] 

机构地区：[1]陕西理工学院基础课一部,陕西汉中723003

出　　处：《陕西工学院学报》2005年第2期83-85,共3页Journal of Shaanxi Institute of Technology

基　　金：陕西理工学院科研基金项目(SLG04020)

摘　　要：Fuzzy测度是研究Fuzzy泛函的基础。M.Sugeno提出了Fuzzy测度的定义,文献[2～4]研究了Fuzzy测度的相关内容,并在Fuzzy测度定义的基础上,给出了Fuzzy测度自连续性的重要性质。在上述文献基础上,相应地证明了Fuzzy测度自连续性的几个重要性质。Fuzzy measure is the basis of Fuzzy finite functions. M. Sugeno presents the definition of Fuzzy measure. The correlated contents are studied in Ref. [2~4] and on the basis of the definition, the important properties are given of Fuzzy continuous measure. Based on the above Ref, a few important properties of Fuzzy measure continuity are presented.

关 键 词：FUZZY测度 自连续性 重要性质 

分 类 号：U468.3[机械工程—车辆工程] X24[交通运输工程—载运工具运用工程]