Intersection and union of type-2 fuzzy sets and connection to (α1, α2)-double cuts

被引：0
作者：
Takac, Zdenko [1 ]
机构：
[1] Slovak Univ Technol Bratislava, Inst Informat Engn Automat & Math, Bratislava 81237, Slovakia
来源：
PROCEEDINGS OF THE 7TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-2011) AND LFA-2011 | 2011年
关键词：
Type-2 fuzzy sets; double cut; alpha-plane; intersection; union; fuzzy sets;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
It is known that the standard intersection and union of type-1 fuzzy sets (i. e., the intersection and union under the minimum t-norm and maximum tconorm) are the only cutworthy operations for type1 fuzzy sets. The aim of this paper is to show that similar property holds also for type-2 fuzzy sets, with respect to some special cutting. As was already demonstrated, the intersection and union of type-2 fuzzy sets are not preserved in a-planes. Thus, we study another kind of cutting, so-called double cuts, and show that the intersection and union of type-2 fuzzy sets are preserved in these double cuts.
引用
收藏
页码：1052 / 1059
页数：8
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