Equivalence Relations on Fuzzy Subgroups

被引：4
|
作者：
Bejines, Carlos [1 ]
Jesus Chasco, Maria [1 ]
Elorza, Jorge [1 ]
Montes, Susana [2 ]
机构：
[1] Univ Navarra, C Irunlarrea 1, Pamplona 31008, Spain
[2] Univ Oviedo, C San Francisco 1, Oviedo 33003, Spain
来源：
ADVANCES IN ARTIFICIAL INTELLIGENCE, CAEPIA 2018 | 2018年 / 11160卷
关键词：
Aggregation function; Fuzzy subgroup; Level subgroup; Isomorphism; Fuzzy isomorphism; Sup property;
D O I：
10.1007/978-3-030-00374-6_14
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We compare four equivalence relations defined in fuzzy subgroups: Isomorphism, fuzzy isomorphism and two equivalence relations defined using level subset notion. We study if the image of two equivalent fuzzy subgroups through aggregation functions is a fuzzy subgroup, when it belongs to the same class of equivalence and if the supreme property is preserved in the class of equivalence and through aggregation functions.
引用
收藏
页码：143 / 153
页数：11
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