1) strict convex fuzzy subset
严格凸模糊子集
1.
The concepts of strong convex fuzzy subset and strict convex fuzzy subset are given.
给出了强凸模糊子集和严格凸模糊子集的定义。
2) strictly convex fuzzy sets
严格凸模糊集
1.
The concepts of convex fuzzy sets, strong convex fuzzy sets and strictly convex fuzzy sets were defined by Zadeh.
首先引用扎德定义的凸模糊集、强凸模糊集、严格凸模糊集等概念,在此基础上研究了这三种集合间的转换条件,得到了严格凸模糊集与凸模糊集、严格凸模糊集与强凸模糊集的转换条件。
3) strictly anti-convex fuzzy sets
严格反凸模糊集
4) fuzzy strictly quasiconvex sets
严格模糊拟凸集
5) strictly convex fuzzy mapping
严格凸模糊映射
1.
Based on refrence,the relationship between convexity and strict convexity of fuzzy mapping is discussed and the result that convex fuzzy mapping is the sufficient condition for strictly convex fuzzy mapping is obtained.
在已有文献的基础上,讨论了模糊映射的凸性和严格凸性之间的关系,得到了凸模糊映射为严格凸模糊映射的充分条件。
6) convex fuzzy subset
凸模糊子集
1.
It is proved that two convex fuzzy subsets can define a weak convex fuzzy mapping,the composition of two weak(strong) convex fuzzy mappings is a weak(strong) convex fuzzy mapping and the im.
证明了两个凸模糊子集可以确定一个弱凸模糊映射;两个弱(强)凸模糊映射的合成仍为弱(强)凸模糊映射;一个凸模糊子集在一个弱凸模糊映射之下的象和原象仍为凸模糊子集。
2.
The concepts of strong convex fuzzy subset and strict convex fuzzy subset are given.
给出了强凸模糊子集和严格凸模糊子集的定义。
补充资料：凸子集
凸子集
convex subset
凸子集〔阴犯xs汕set;.训叮俄洲祀哪~}，偏序集的 包含任意二劝七素a .b、同时也包含整个区间(见区间与线段(Interval and segment))!a .b}的子集. 几A CKoPll删。撰I补注】一个不涉及区间概念的定义是:偏序集的子集A是凸的，若a延b簇c，侧.“，C任，4，则b任东 在实直线上(带有通常的序)，凸子集正是连通子集(按通常的拓扑).这对于更一般的有)神i扑空间((1rd已 redtopologi以1 sPa份)不一定成饭但如果给偏序集以区间拓扑(见序拓扑(order topology))，则连通子集是凸子集.戴执中译
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参考词条