Constructing uninorms on bounded lattices by using additive generators

被引:14
|
作者
He, Peng [1 ]
Wang, Xue-ping [2 ]
机构
[1] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China
[2] Sichuan Normal Univ, Sch Math Sci, Chengdu 610066, Sichuan, Peoples R China
基金
中国国家自然科学基金;
关键词
Bounded lattice; Additive generator; Uninorm; Neutral element; TRIANGULAR NORMS; OPERATORS;
D O I
10.1016/j.ijar.2021.05.006
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 article, we present two methods to construct uninorms on bounded lattices by using additive generators. We also provide some examples for illustrating the constructing methods of uninorms. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码:1 / 13
页数:13
相关论文
共 50 条
  • [31] New construction approaches of uninorms on bounded lattices
    Cayli, Gul Deniz
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2021, 50 (02) : 139 - 158
  • [32] ADDITIVE GENERATORS OF DISCRETE SEMI-UNINORMS
    Wang, Ya-ming
    Zhan, Hang
    Zhao, Yuan-yuan
    KYBERNETIKA, 2024, 60 (06) : 740 - 753
  • [33] Congruence Relations and Direct Decomposition of Uninorms on Bounded Lattices
    Karacal, Funda
    Ertugrul, Umit
    Arpaci, Samet
    Kesicioglu, M. Nesibe
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2023, 31 (06) : 1033 - 1059
  • [34] On generating uninorms on some special classes of bounded lattices
    Asici, Emel
    Mesiar, Radko
    FUZZY SETS AND SYSTEMS, 2022, 439 : 102 - 125
  • [35] An addendum to "Construction of 2-uninorms on bounded lattices"
    Wang, Y. M.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2023, 20 (04): : 97 - 102
  • [36] Constructing uninorms via closure operators on a bounded lattice
    Ouyang, Yao
    Zhang, Hua-Peng
    FUZZY SETS AND SYSTEMS, 2020, 395 : 93 - 106
  • [37] Uninorms That Are Neither Conjunctive Nor Disjunctive on Bounded Lattices
    Cayli, Gul Deniz
    INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS: THEORY AND FOUNDATIONS, IPMU 2018, PT I, 2018, 853 : 310 - 318
  • [38] Some further results about uninorms on bounded lattices
    Zhao, Bin
    Wu, Tao
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2021, 130 : 22 - 49
  • [39] Some further construction methods for uninorms on bounded lattices
    Cayli, Gul Deniz
    Ertugrul, Umit
    Karacal, Funda
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2023, 52 (04) : 414 - 442
  • [40] The additive generators of t-norms and t-conorms on bounded lattices
    Sun, Xiang-Rong
    Liu, Hua-Wen
    Fuzzy Sets and Systems, 2021, 408 : 13 - 25