M-fuzzifying弱-JHC性质与M-fuzzifying弱-Peano性质  

M-fuzzifying Weak-JHC property and M-fuzzifying weak-Peano property

作　　者：吴修云[1] 

机构地区：[1]湖南科技学院理学院,湖南永州425100

出　　处：《模糊系统与数学》2017年第4期46-55,共10页Fuzzy Systems and Mathematics

基　　金：国家自科基金(no.11471202);湖南省教育厅基金(no.15C0586)

摘　　要：在M-fuzzifying凸空间中,本文引入了M-fuzzifying弱-JHC性质和M-fuzzifying弱-Peano性质,给出了它们的刻画,并讨论了它们与M-fuzzifyingJHC性质、M-fuzzifyingPeano性质、计数2之间的关系.另外,本文还证明了它们在M-fuzzifyingCP+CC满映射下是保持不变的.In M-fuzzifying convex spaces, notions of M-fuzzifying weak-JHC property andM-fuzzifying weak-Peano property are introduced and characterized. Then their relations withM-fuzzifying JHC property, M-fuzzifying Peano property and arity ≤2 are discussed. Also, it is showed that both the defined notions are preserved byM-fuzzifying CP and CC surjective functions.

关 键 词：M-fuzzifying凸结构 M-fuzzifyingJHC性质 M-fuzzifyingPeano性质 M-fuzzifying弱-JHC性质 M-fuzzifying弱-Peano性质. 

分 类 号：O189.1[理学—数学]