ON THE CONSTRUCTIONS OF T-NORMS AND T-CONORMS ON SOME SPECIAL CLASSES OF BOUNDED LATTICES

被引：3
|
作者：
Asici, Emel [1 ]
机构：
[1] Karadeniz Tech Univ, Fac Technol, Dept Software Engn, TR-61830 Trabzon, Turkey
来源：
KYBERNETIKA | 2021年 / 57卷 / 02期
关键词：
t-norm; t-conorm; ordinal sum; bounded lattice; ORDINAL SUM; NULLNORMS; SETS;
D O I：
10.14736/kyb-2021-2-0352
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Recently, the topic related to the construction of triangular norms and triangular conorms on bounded lattices using ordinal sums has been extensively studied. In this paper, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an appropriate bounded lattice. Also, we give some illustrative examples for clarity. Then, we show that a new construction method can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an appropriate bounded lattice, respectively. And we provide some illustrative examples.
引用
收藏
页码：352 / 371
页数：20
相关论文
共 50 条
  • [41] Associative operators based on t-norms and t-conorms
    Mas, M
    Mesiar, R
    Monserrat, M
    Torrens, J
    INTELLIGENT SYSTEMS FOR INFORMATION PROCESSING: FROM REPRESENTATION TO APPLICATIONS, 2003, : 393 - 404
  • [42] A family of multi-valued t-norms and t-conorms
    Kehagias, Athanasios
    Computational Intelligence Based on Lattice Theory, 2007, 67 : 341 - 360
  • [43] The weak dominance between t-norms and t-conorms revisited
    Liu, Qiao-Yun
    Qin, Feng
    FUZZY SETS AND SYSTEMS, 2024, 487
  • [44] 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
  • [45] Usage of the T-norms and T-conorms in Medical Data Classification
    Saastamoinen, Kalle
    BEC 2008: 2008 INTERNATIONAL BIENNIAL BALTIC ELECTRONICS CONFERENCE, PROCEEDINGS, 2008, : 183 - 186
  • [46] Strict Archimedean t-norms and t-conorms as universal approximators
    Nguyen, HT
    Kreinovich, V
    Wojciechowski, P
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 1998, 18 (3-4) : 239 - 249
  • [47] Migrative uninorms and nullnorms over t-norms and t-conorms
    Mas, M.
    Monserrat, M.
    Ruiz-Aguilera, D.
    Torrens, J.
    FUZZY SETS AND SYSTEMS, 2015, 261 : 20 - 32
  • [48] The construction of fuzzy-valued t-norms and t-conorms
    Kehagias, Athanasios
    COMPUTATIONAL INTELLIGENCE BASED ON LATTICE THEORY, 2007, 67 : 361 - 370
  • [49] On the distributivity for the ordinal sums of implications over t-norms and t-conorms
    Zhao, Bin
    Lu, Jing
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2023, 152 : 284 - 296
  • [50] An addendum to "Migrative uninorms and nullnorms over t-norms and t-conorms"
    Zong, Wenwen
    Su, Yong
    Liu, Hua-Wen
    FUZZY SETS AND SYSTEMS, 2016, 299 : 146 - 150
12345