Alternative approaches for generating semi-t-operators on bounded lattices

被引:4
作者
Zhu, Cheng-lin [1 ]
Wang, Xue-ping [1 ]
机构
[1] 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; Semi-t-norm; Semi-t-conorm; Semi-t-operator; UNINORMS; DISTRIBUTIVITY;
D O I
10.1016/j.fss.2021.09.003
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Based on both a given semi-t-norm and semi-t-conorm, we propose some methods to obtain semi-t-operators on bounded lattices, which are illustrated by some examples. We also discuss the relationship among semi-t-operators constructed. (c) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码:75 / 88
页数:14
相关论文
共 23 条
  • [1] Birkhoff G., 1967, American Mathematical Society Colloquium Publications, VXXV
  • [2] Nullnorms and T-Operators on Bounded Lattices: Coincidence and Differences
    Bodjanova, Slavka
    Kalina, Martin
    [J]. INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS: THEORY AND FOUNDATIONS, IPMU 2018, PT I, 2018, 853 : 160 - 170
  • [3] The functional equations of Frank and Alsina for uninorms and nullnorms
    Calvo, T
    De Baets, B
    Fodor, J
    [J]. FUZZY SETS AND SYSTEMS, 2001, 120 (03) : 385 - 394
  • [4] Calvo T., 1986, ACT 6 C CAT LOG BARC, P45
  • [5] Alternative approaches for generating uninorms on bounded lattices
    Cayli, Gul Deniz
    [J]. INFORMATION SCIENCES, 2019, 488 : 111 - 139
  • [6] CONSTRUCTION OF UNINORMS ON BOUNDED LATTICES
    Cayli, Gul Deniz
    Karacal, Funda
    [J]. KYBERNETIKA, 2017, 53 (03) : 394 - 417
  • [7] A new structure for uninorms on bounded lattices
    Dan, Yexing
    Hu, Bao Qing
    [J]. FUZZY SETS AND SYSTEMS, 2020, 386 : 77 - 94
  • [8] Distributivity between semi-t-operators and semi-nullnorms
    Drygas, Pawel
    [J]. FUZZY SETS AND SYSTEMS, 2015, 264 : 100 - 109
  • [9] Dubois D., 2000, FUZZY SET SYST, V1
  • [10] Semi-t-operators on bounded lattices
    Fang, Bo Wen
    Hu, Bao Qing
    [J]. INFORMATION SCIENCES, 2019, 490 : 191 - 209