Representations of Archimedean t-norms in interval-valued fuzzy set theory

被引：0
|
作者：
Deschrijver, Glad [1 ]
机构：
[1] Univ Ghent, Dept Appl Math & Comp Sci, Fuzziness & Uncertainty Modeling Res Unit, B-9000 Ghent, Belgium
来源：
NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL I, PROCEEDINGS | 2007年
关键词：
interval-valued fuzzy set; intuitionistic fuzzy set; t-norm; Archimedean; nilpotent; strict; representation;
D O I：
暂无
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 paper the Archimedean property and the nilpotency of t-norms on the lattice L(1) is investigated, where L(1) is the underlying lattice of interval-valued fuzzy set theory (Sambuc, 1975) and intuitionistic fuzzy set theory (Atanassov, 1983). We give some characterizations of continuous t-norms on L(1) which satisfy the residuation principle, T(D, D) subset of D, the Archimedean property and nilpotency.
引用
收藏
页码：53 / 60
页数：8
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