Conditions for the t-norm extended mapping to preserve the convexity of fuzzy sets

被引：0
|
作者：
Ito, K
机构：
[1] N.S. Clinic, Nishino Bild. 1F, Hachioji-shi, Tokyo, 2-5, Sin-cho
来源：
FUZZY SETS AND SYSTEMS | 1996年 / 78卷 / 03期
关键词：
fuzzy number; convex fuzzy set; t-norm extension principle;
D O I：
10.1016/0165-0114(96)84613-6
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
It is proved that the class of all convex fuzzy sets on R is closed under the operation (f) over tilde extended from a continuous function f:R(2) --> R via the t-norm extension principle. Three lemmas are prepared. The second one is original, and plays an important role.
引用
收藏
页码：333 / 336
页数：4
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