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

页码：53 / 60

页数：8

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