On Generating of t-Norms and t-Conorms on Bounded Lattices

被引：12
|
作者：
Cayli, Gul Deniz [1 ]
机构：
[1] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkey
来源：
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2020年 / 28卷 / 05期
关键词：
Bounded lattice; T-norm; T-conorm; Ordinal sum; TRIANGULAR NORMS; ORDINAL SUMS; UNINORMS;
D O I：
10.1142/S021848852050035X
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we study t-norms and t-conorms on bounded lattices. We propose new methods for generating these operators, applicable on any bounded lattice M by use of the presence of a t-norm on [0(M), k] and a t-conorm on [k, 1(M)] for an element k is an element of M/{0(M), 1(M)}. In addition, some corresponding examples are provided for well understanding the structure of new t-norms and t-conorms.
引用
收藏
页码：807 / 835
页数：29
相关论文
共 50 条
  • [31] On the representation of intuitionistic fuzzy t-norms and t-conorms
    Deschrijver, G
    Cornelis, C
    Kerre, EE
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (01) : 45 - 61
  • [32] T-norms and t-conorms continuous around diagonals
    Mesiarova-Zemankova, Andrea
    [J]. FUZZY SETS AND SYSTEMS, 2016, 299 : 105 - 112
  • [33] Multi-valued t-norms and t-conorms
    Kehagias, A
    Serafimidis, K
    [J]. PROCEEDINGS OF THE 7TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2003, : 241 - 244
  • [34] Migrativity of Uninorms over T-norms and T-conorms
    Mas, M.
    Monserrat, M.
    Ruiz-Aguilera, D.
    Torrens, J.
    [J]. AGGREGATION FUNCTIONS IN THEORY AND IN PRACTISE, 2013, 228 : 155 - 166
  • [35] Generic view on continuous t-norms and t-conorms
    Perfilieva, I
    [J]. COMPUTATIONAL INTELLIGENCE, THEORY AND APPLICATIONS, 2005, : 377 - 382
  • [36] Choosing t-norms and t-conorms for fuzzy controllers
    Ahmad, Khurshid
    Mesiarova-Zemankova, Andrea
    [J]. FOURTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 2, PROCEEDINGS, 2007, : 641 - +
  • [37] Associative operators based on t-norms and t-conorms
    Mas, M
    Mesiar, R
    Monserrat, M
    Torrens, J
    [J]. INTELLIGENT SYSTEMS FOR INFORMATION PROCESSING: FROM REPRESENTATION TO APPLICATIONS, 2003, : 393 - 404
  • [38] Multi-valued t-norms and t-conorms
    Kehagias, A
    Serafimidis, K
    [J]. PROCEEDINGS OF THE 7TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2003, : 84 - 87
  • [39] A family of multi-valued t-norms and t-conorms
    Kehagias, Athanasios
    [J]. Computational Intelligence Based on Lattice Theory, 2007, 67 : 341 - 360
  • [40] The pseudo-inverse of a monotone function between complete lattices and its use in generating t-norms and t-conorms
    Dong, Yanyan
    Pang, Bin
    De Baets, Bernard
    [J]. FUZZY SETS AND SYSTEMS, 2024, 478
12345