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
  • [31] Solutions of matrix equations with weak fuzzy equivalence relations
    Medina, Jesus
    Stepanovic, Vanja
    Tepavcevic, Andreja
    INFORMATION SCIENCES, 2023, 629 : 634 - 645
  • [32] A NOTE ON (∈, ∈ ∨ q)-FUZZY EQUIVALENCE RELATIONS AND INDISTINGUISHABILITY OPERATORS
    Ali, Muhammad Irfan
    Feng, Feng
    Shabir, Muhammad
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (03): : 383 - 400
  • [33] Left and right compatibility of strict orders with fuzzy tolerance and fuzzy equivalence relations
    De Baets, B.
    Zedam, L.
    Kheniche, A.
    PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY, 2015, 89 : 1554 - 1558
  • [34] Evaluation and ranking of fuzzy sets under equivalence fuzzy relations as α-certainty and β-possibility
    Alavi, Seyed Majid
    Khazravi, Narges
    EXPERT SYSTEMS WITH APPLICATIONS, 2024, 248
  • [35] FUZZY SUBGROUPS AND ANTI FUZZY SUBGROUPS
    BISWAS, R
    FUZZY SETS AND SYSTEMS, 1990, 35 (01) : 121 - 124
  • [36] THE EQUIVALENCE OF HIGH SUBGROUPS
    HILL, P
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (02) : 207 - 211
  • [37] The stability of local properties of fuzzy relations under ordinal equivalence
    Bentkowska, Urszula
    Pekala, Barbara
    Rzasa, Wojciech
    INFORMATION SCIENCES, 2019, 491 : 265 - 278
  • [38] Modeling Position Specificity in Sequence Kernels by Fuzzy Equivalence Relations
    Bodenhofer, Ulrich
    Schwarzbauer, Karin
    Ionescu, Mihaela
    Hochreiter, Sepp
    PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, : 1376 - 1381
  • [39] Knowledge distance measure in multigranulation spaces of fuzzy equivalence relations
    Yang, Jie
    Wang, Guoyin
    Zhang, Qinghua
    INFORMATION SCIENCES, 2018, 448 : 18 - 35
  • [40] GENERAL METHOD TO GENERATE FUZZY EQUIVALENCE RELATIONS IN MATRIX FORM
    Shakhatreh, M. A.
    Qawasmeh, T. A.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 13 (03): : 401 - 420
12345