Structure of (weakly associative) micanorms

被引：0
|
作者：
Yang, Eunsuk [1 ]
机构：
[1] Department of Philosophy & Institute of Critical Thinking and Writing, Jeonbuk National University, Rm 417, Center for Humanities & Social Sciences, Jeonju,54896, Korea, Republic of
来源：
Soft Computing | 2024年 / 28卷 / 20期
关键词：
t-norm; t-conorm; Uninorm; wa-uninorm; Micanorm;
D O I：
10.1007/s00500-024-09915-5
中图分类号：
学科分类号：
摘要：
Yang introduced binary MICA (Monotonic Identity Commutative Aggregation) operations called micanorms and micanorms with three weak forms of associativity. This paper investigates general and specific structure of those micanorms. For this, we first recall (weakly associative) micanorms introduced by Yang. Next, we introduce a construction to characterize those micanorms in general. Finally, we consider similar constructions to specify them together with some examples to illustrate those constructions. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.
引用
收藏
页码：11717 / 11728
页数：11
相关论文
共 50 条
  • [31] Distributed coupling complexity in a weakly coupled oscillatory network with associative properties
    Kostorz, Kathrin
    Hoelzel, Robert W.
    Krischer, Katharina
    NEW JOURNAL OF PHYSICS, 2013, 15
  • [32] The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
    Alejandra Alvarez, Maria
    Kaygorodov, Ivan
    JOURNAL OF ALGEBRA, 2021, 588 : 278 - 314
  • [33] ASSOCIATIVE STRUCTURE OF SCIENCE CONCEPTS
    PREECE, PFW
    BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY, 1976, 46 (JUN) : 174 - 183
  • [34] Logical associative multiprocessor structure
    Bondarenko, M. F.
    Hahanov, V. I.
    Litvinova, E. I.
    AUTOMATION AND REMOTE CONTROL, 2012, 73 (10) : 1648 - 1666
  • [35] STRUCTURE OF CRYOGENIC ASSOCIATIVE PROCESSOR
    BARNARD, JD
    SEEBER, RR
    BEHNKE, FA
    LINDQUIST, AB
    PROCEEDINGS OF THE IEEE, 1964, 52 (10) : 1182 - &
  • [36] Torale structure of an associative algebra
    Siciliano, S
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2005, 8A (03): : 641 - 644
  • [37] ON LIE STRUCTURE OF AN ASSOCIATIVE RING
    HERSTEIN, IN
    JOURNAL OF ALGEBRA, 1970, 14 (04) : 561 - &
  • [38] Source monitoring and associative structure
    Bellezza, Francis S.
    Elek, Jennifer K.
    Zhang, Ru
    JOURNAL OF MEMORY AND LANGUAGE, 2016, 87 : 144 - 156
  • [39] STRUCTURE FROM ASSOCIATIVE LEARNING
    ANDREAE, JH
    RYAN, SW
    TOMLINSON, ML
    ANDREAE, PM
    INTERNATIONAL JOURNAL OF MAN-MACHINE STUDIES, 1993, 39 (06): : 1031 - 1050
  • [40] On the Lie structure of associative superalgebras
    Montaner, F
    COMMUNICATIONS IN ALGEBRA, 1998, 26 (07) : 2337 - 2349
12345