The modularity equation for semi-t-operators and T-uninorms

被引：4
|
作者：
Zhao, Yuan-Yuan [1 ]
Liu, Hua-Wen [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2022年 / 146卷
基金：
中国国家自然科学基金; 国家重点研发计划;
关键词：
Modularity equation; Semi-t-operators; Uninorms; T-uninorms; AGGREGATION OPERATORS; DISTRIBUTIVITY;
D O I：
10.1016/j.ijar.2022.04.005
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper investigates the modularity equation including semi-t-operators and T-uninorms. We discuss the modularity equation in two cases, which are semi-t-operators over Tuninorms, and T-uninorms over semi-t-operators, respectively. For the case of semi t-operators over T-uninorms, all solutions to the equation are given. Moreover, by considering the underlying uninorm of the T-uninorm is locally internal on the boundary, necessary and sufficient conditions of the case for T-uninorms over semi-t-operators are established. (C)& nbsp;2022 Elsevier Inc. All rights reserved.
引用
收藏
页码：106 / 118
页数：13
相关论文
共 50 条
  • [41] Migrativity property for uninorms and semi t-operators
    Su, Yong
    Zong, Wenwen
    Liu, Hua-wen
    Xue, Peijun
    INFORMATION SCIENCES, 2015, 325 : 455 - 465
  • [42] The modularity equation for Mayor's aggregation operators and uninorms
    Zhao, Y. Y.
    Liu, H. W.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2022, 19 (04): : 137 - 145
  • [43] Distributivity between semi-t-operators and Mayor's aggregation operators
    Qin, Feng
    Wang, Ya-Ming
    INFORMATION SCIENCES, 2016, 346 : 6 - 16
  • [44] Alternative approaches for generating semi-t-operators on bounded lattices
    Zhu, Cheng-lin
    Wang, Xue-ping
    FUZZY SETS AND SYSTEMS, 2022, 439 : 75 - 88
  • [45] Left and right distributivity equations in the class of semi-t-operators
    Jocic, Dragan
    Drygas, Pawel
    Stajner-Papuga, Ivana
    FUZZY SETS AND SYSTEMS, 2019, 372 : 62 - 80
  • [46] The distributivity equations for semi t-operators over uninorms
    Su, Yong
    Zong, Wenwen
    Liu, Hua-wen
    Xue, Peijun
    FUZZY SETS AND SYSTEMS, 2016, 287 : 172 - 183
  • [47] Constructions of semi-t-operators on bounded lattices by semi-beam operations
    Hua, Xiujuan
    Fang, Bo Wen
    FUZZY SETS AND SYSTEMS, 2023, 462
  • [48] The conditional distributivity of semi-t-operators over uni-nullnorms
    Shi, Jieqiong
    Zhao, Bin
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2024,
  • [49] New results about idempotent semi-t-operators on bounded lattices
    Wang, Y. M.
    Jiang, D. X.
    Dan, Y. X.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2024, 21 (06): : 69 - 82
  • [50] Construction of semi-t-operators on bounded lattices by order-preserving mappings
    Wang, Xue-ping
    Zhu, Cheng-lin
    FUZZY SETS AND SYSTEMS, 2023, 462
12345