Left and right compatibility of strict orders with fuzzy tolerance and fuzzy equivalence relations

被引：0
|
作者：
De Baets, B. [1 ]
Zedam, L. [2 ]
Kheniche, A. [3 ]
机构：
[1] Univ Ghent, Dept Math Modelling Stat & Bioinformat, KERMIT, B-9000 Ghent, Belgium
[2] Med Boudiaf Univ, Dept Math, LMPA, Msila, Algeria
[3] Med Boudiaf Univ, Dept Math, Msila, Algeria
来源：
PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY | 2015年 / 89卷
关键词：
Compatibility; crisp strict order; fuzzy tolerance relation; fuzzy equivalence relation; REPRESENTATIONS;
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：
The notion of extensionality of a fuzzy relation w.r.t. a fuzzy equivalence was first introduced by Hohle and Blanchard. Belohlavek introduced a similar definition of compatibility of a fuzzy relation w.r.t. a fuzzy equality. In [14] we generalized this notion to left compatibility, right compatibility and compatibility of arbitrary fuzzy relations and we characterized them in terms of left and right traces introduced by Fodor. In this note, we will again investigate these notions, but this time we focus on the compatibility of strict orders with fuzzy tolerance and fuzzy equivalence relations.
引用
收藏
页码：1554 / 1558
页数：5
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