Isomorphic triangular subnorms with continuous additive generators

被引:0
|
作者
Sun, Jie [1 ]
Liu, Xiaoguang [1 ]
机构
[1] Southwest Minzu Univ, Inst Qinghai Tibetan Plateau, Sch Math, Chengdu 610041, Peoples R China
关键词
Triangular norm; Triangular subnorm; Additive generator; Isomorphism; CONSTRUCTION; NORMS;
D O I
10.1016/j.fss.2024.109136
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The additive generators play an important role in the construction of t-(sub)norms. Distinct to t-norms, the additive generators of t-subnorms need not be strictly decreasing and the value at 1 need not be 0. This paper gives the sufficient and necessary conditions such that two t-subnorms, generated by continuous additive generators, are isomorphic.
引用
收藏
页数:11
相关论文
共 50 条
  • [1] Continuous additive generators of continuous, conditionally cancellative triangular subnorms
    Mesiarova-Zemankova, Andrea
    INFORMATION SCIENCES, 2016, 339 : 53 - 63
  • [2] Continuous triangular subnorms
    Mesiarová, A
    FUZZY SETS AND SYSTEMS, 2004, 142 (01) : 75 - 83
  • [3] Lipschitz continuity of triangular subnorms
    Ricci, Roberto Ghiselli
    Mesiar, Radko
    Mesiarova-Zemankova, Andrea
    FUZZY SETS AND SYSTEMS, 2014, 240 : 51 - 65
  • [4] Additive generators of border-continuous triangular norms
    Vicenik, Peter
    FUZZY SETS AND SYSTEMS, 2008, 159 (13) : 1631 - 1645
  • [5] Convex combinations of uninorms and triangular subnorms
    Mesiarova-Zemankova, Andrea
    FUZZY SETS AND SYSTEMS, 2021, 423 : 55 - 73
  • [6] On the migrativity of triangular subnorms
    Wu, Limin
    Ouyang, Yao
    FUZZY SETS AND SYSTEMS, 2013, 226 : 89 - 98
  • [7] On the Convex Combination of Triangular Subnorms
    Sun, Wenjing
    Li, Qi
    Zhang, Lizhu
    Bo, Qigao
    Li, Gang
    PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 5858 - 5862
  • [8] Lukasiewicz-like triangular subnorms
    Petrik, Milan
    Sarkoci, Peter
    PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY, 2015, 89 : 1282 - 1287
  • [10] Continuous weakly cancellative triangular subnorms: I. Their web-geometric properties
    Petrik, Milan
    Sarkoci, Peter
    FUZZY SETS AND SYSTEMS, 2018, 332 : 93 - 110