Many-valued relation algebras

被引：4
|
作者：
Popescu, A [1 ]
机构：
[1] Univ Bucharest, Fac Math, Bucharest, Romania
来源：
ALGEBRA UNIVERSALIS | 2005年 / 53卷 / 01期
关键词：
many-valued and fuzzy relation algebra; MV-algebra; BL-algebra; continuous t-norm;
D O I：
10.1007/s00012-005-1916-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce MV-relation algebras (MVRAs) and distributive MV-relation algebras (DMVRAs), many-valued generalizations of classical relation algebras and study some of their arithmetical properties. We provide corresponding notions of group relation algebra and complex algebra and generalize some results about them from the classical case. For this, we work with more general structures than MVRAs and DMVRAs, by replacing the MV part with a BL-algebra, obtaining what we call fuzzy relation algebras and distributive fuzzy relation algebras.
引用
收藏
页码：73 / 108
页数：36
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