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
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
  • [31] 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
  • [32] 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
  • [33] Some results on the weak dominance between t-norms and t-conorms
    Li, Gang
    Zhang, Li -Zhu
    Wang, Jing
    Li, Zhen-Bo
    FUZZY SETS AND SYSTEMS, 2023, 467
  • [34] On the representation of intuitionistic fuzzy t-norms and t-conorms
    Deschrijver, G
    Cornelis, C
    Kerre, EE
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (01) : 45 - 61
  • [35] Generic view on continuous t-norms and t-conorms
    Perfilieva, I
    COMPUTATIONAL INTELLIGENCE, THEORY AND APPLICATIONS, 2005, : 377 - 382
  • [36] Multi-valued t-norms and t-conorms
    Kehagias, A
    Serafimidis, K
    PROCEEDINGS OF THE 7TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2003, : 241 - 244
  • [37] T-norms and t-conorms continuous around diagonals
    Mesiarova-Zemankova, Andrea
    FUZZY SETS AND SYSTEMS, 2016, 299 : 105 - 112
  • [38] Migrativity of Uninorms over T-norms and T-conorms
    Mas, M.
    Monserrat, M.
    Ruiz-Aguilera, D.
    Torrens, J.
    AGGREGATION FUNCTIONS IN THEORY AND IN PRACTISE, 2013, 228 : 155 - 166
  • [39] Choosing t-norms and t-conorms for fuzzy controllers
    Ahmad, Khurshid
    Mesiarova-Zemankova, Andrea
    FOURTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 2, PROCEEDINGS, 2007, : 641 - +
  • [40] Multi-valued t-norms and t-conorms
    Kehagias, A
    Serafimidis, K
    PROCEEDINGS OF THE 7TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2003, : 84 - 87