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
相关论文
共 50 条
  • [41] FUZZY COSETS OF FUZZY SUBGROUPS RELATIVE TO FUZZY SUBGROUPS
    Shu, Lan
    Wang, Zhaohao
    UNCERTAINTY MODELING IN KNOWLEDGE ENGINEERING AND DECISION MAKING, 2012, 7 : 639 - 644
  • [42] FUZZY SUBGROUPS AS UNION OF 2 FUZZY SUBGROUPS
    SAXENA, PK
    FUZZY SETS AND SYSTEMS, 1993, 57 (02) : 209 - 218
  • [43] A Fuzzy Classifier Approach using Equivalence Relations on Faculty Performance Analysis
    Raj, Michael T. F.
    Meganathan, S.
    Indhumathi, S.
    Jayanandini, S.
    2017 INTERNATIONAL CONFERENCE ON COMPUTING METHODOLOGIES AND COMMUNICATION (ICCMC), 2017, : 888 - 891
  • [44] Representations of interval-valued fuzzy J-equivalence relations
    Zhang, Hongying
    Dong, Minggao
    Qi, Jianjun
    Zhang, Wenxiu
    INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL, 2011, 14 (01): : 51 - 63
  • [45] Unsupervised Heterogeneous Domain Adaptation via Shared Fuzzy Equivalence Relations
    Liu, Feng
    Lu, Jie
    Zhang, Guangquan
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (06) : 3555 - 3568
  • [46] Fault-tolerant software voters based on fuzzy equivalence relations
    Kim, K
    Vouk, MA
    McAllister, DF
    1998 IEEE AEROSPACE CONFERENCE PROCEEDINGS, VOL 4, 1998, : 5 - 19
  • [47] ORDERS OF FUZZY SUBGROUPS AND FUZZY P-SUBGROUPS
    KIM, JG
    FUZZY SETS AND SYSTEMS, 1994, 61 (02) : 225 - 230
  • [48] Conjugacy equivalence relation on subgroups
    Andretta, A
    Camerlo, R
    Hjorth, G
    FUNDAMENTA MATHEMATICAE, 2001, 167 (03) : 189 - 212
  • [49] THE LATTICES OF FUZZY SUBGROUPS AND FUZZY NORMAL-SUBGROUPS
    AJMAL, N
    THOMAS, KV
    INFORMATION SCIENCES, 1994, 76 (1-2) : 1 - 11
  • [50] A Study of Normal Fuzzy Subgroups and Characteristic Fuzzy Subgroups of a Fuzzy Group
    Ajmal, Naseem
    Jahan, Iffat
    FUZZY INFORMATION AND ENGINEERING, 2012, 4 (02) : 123 - 143
12345