The dominance relation in some families of continuous Archimedean t-norms and copulas

被引：23
|
作者：
Saminger-Platz, Susanne [1 ]
机构：
[1] Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, A-4040 Linz, Austria
来源：
FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 14期
基金：
奥地利科学基金会;
关键词：
Fuzzy connectives and aggregation functions; Triangular norms; Copulas; Dominance; TRIANGULAR NORMS; BIVARIATE DISTRIBUTIONS; CONSTRUCTIONS; INEQUALITY; OPERATORS; TRANSITIVITY; DOMINATION;
D O I：
10.1016/j.fss.2008.12.009
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The dominance relation in several families of continuous Archimedean t-norms and copulas is investigated. On the one hand, the contribution provides a comprehensive overview on recent conditions and properties of dominance as well as known results for particular cases of families. On the other hand, it contains new results clarifying the dominance relationship in live additional families of continuous Archimedean t-norms and copulas. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：2017 / 2031
页数：15
相关论文
共 50 条
  • [11] Fuzzy implications derived from additive generators of continuous Archimedean t-norms
    Liu, Hua-Wen
    Li, Zhen-Bo
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2012, 27 (06) : 563 - 577
  • [12] Reconstruction of additive generators from partial derivatives of continuous Archimedean t-norms
    Navara, Mirko
    Petrik, Milan
    Sarkoci, Peter
    40TH IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC ISMVL 2010, 2010, : 241 - 244
  • [13] A survey on left-continuous t-norms and pseudo t-norms
    Jenei, S
    LOGICAL, ALGEBRAIC, ANALYTIC, AND PROBABILISTIC ASPECTS OF TRIANGULAR NORMS, 2005, : 113 - 142
  • [14] Some results on the weak dominance between t-norms and t-conorms
    Li, Gang
    Zhang, Li -Zhu
    Wang, Jing
    Li, Zhen-Bo
    FUZZY SETS AND SYSTEMS, 2023, 467
  • [15] Solutions of fuzzy relation equations based on continuous t-norms
    Shieh, Bih-Sheue
    INFORMATION SCIENCES, 2007, 177 (19) : 4208 - 4215
  • [16] On two distributivity equations for fuzzy implications and continuous, Archimedean t-norms and t-conorms
    Baczynski, Michal
    FUZZY SETS AND SYSTEMS, 2013, 211 : 34 - 54
  • [17] Characterizations of uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms
    Sun, Feng
    Wang, Xue-ping
    Qu, Xiao-bing
    FUZZY SETS AND SYSTEMS, 2018, 334 : 24 - 35
  • [18] CHARACTERIZATION OF ARCHIMEDEAN T-NORMS AND A LAW OF LARGE NUMBERS
    TRIESCH, E
    FUZZY SETS AND SYSTEMS, 1993, 58 (03) : 339 - 342
  • [19] Conditional distributivity for uni-nullnorms with continuous and Archimedean underlying t-norms and t-conorms
    Wang, Gang
    Qin, Feng
    Li, Wen-Huang
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (03) : 2773 - 2785
  • [20] Strict Archimedean t-norms and t-conorms as universal approximators
    Nguyen, HT
    Kreinovich, V
    Wojciechowski, P
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 1998, 18 (3-4) : 239 - 249
12345