中文摘要：

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、计数三三三2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．

英文摘要：

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.