New construction of an ordinal sum of t-norms and t-conorms on bounded lattices

被引:43
|
作者
Dvorak, Antonin [1 ]
Holcapek, Michal [1 ]
机构
[1] Univ Ostrava, CE IT4Innovat, Inst Res & Applicat Fuzzy Modeling, 30 Dubna 22, CZ-70103 Ostrava, Czech Republic
关键词
T-norms; T-conorms; Bounded lattices; Ordinal sum; TRIANGULAR NORMS; UNINORMS;
D O I
10.1016/j.ins.2019.12.003
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper introduces a new ordinal sum construction of t-norms and t-conorms on bounded lattices based on interior and closure operators. The proposed method generalizes several known constructions and provides a simple tool to introduce new classes of t-norms and t-conorms. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码:116 / 131
页数:16
相关论文
共 50 条
  • [31] Negations, strict monotonic t-norms and t-conorms for finite ordinal scales
    Batyrshin, IZ
    Batyrshin, II
    PROCEEDINGS OF THE 8TH JOINT CONFERENCE ON INFORMATION SCIENCES, VOLS 1-3, 2005, : 50 - 53
  • [32] Vague and fuzzy t-norms and t-conorms
    Boixader, D.
    Recasens, J.
    FUZZY SETS AND SYSTEMS, 2022, 433 : 156 - 175
  • [33] Generalizing Leximin to t-norms and t-conorms
    Yager, RR
    Walker, CL
    Walker, EA
    NAFIPS 2004: ANNUAL MEETING OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY, VOLS 1AND 2: FUZZY SETS IN THE HEART OF THE CANADIAN ROCKIES, 2004, : 343 - 345
  • [34] Reducing t-norms and augmenting t-conorms
    Detyniecki, M
    Yager, RR
    Bouchon-Meunier, B
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2002, 31 (03) : 265 - 276
  • [35] Some further results about t-norms and t-conorms on some special classes of bounded lattices
    Asici, Emel
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2022, 51 (04) : 334 - 351
  • [36] On the distributivity between t-norms and t-conorms
    Bertoluzza, C
    Doldi, V
    FUZZY SETS AND SYSTEMS, 2004, 142 (01) : 85 - 104
  • [37] A new way to extend t-norms, t-conorms and negations
    Palmeira, Eduardo
    Bedregal, Benjamin
    Mesiar, Radko
    Fernandez, Javier
    FUZZY SETS AND SYSTEMS, 2014, 240 : 1 - 21
  • [38] Characterizing when an ordinal sum of t-norms is a t-norm on bounded lattices
    Medina, Jesus
    FUZZY SETS AND SYSTEMS, 2012, 202 : 75 - 88
  • [39] On the use of generalized mean with T-norms and T-conorms
    Saastamoinen, K
    2004 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2004, : 569 - 573
  • [40] Uni-norms: A unification of t-norms and t-conorms
    Yager, RR
    Rybalov, A
    1996 BIENNIAL CONFERENCE OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY - NAFIPS, 1996, : 50 - 54