On Generating of t-Norms and t-Conorms on Bounded Lattices

被引：12

作者：

Cayli, Gul Deniz ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkey

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2020年 / 28卷 / 05期

关键词：

Bounded lattice; T-norm; T-conorm; Ordinal sum; TRIANGULAR NORMS; ORDINAL SUMS; UNINORMS;

D O I：

10.1142/S021848852050035X

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, we study t-norms and t-conorms on bounded lattices. We propose new methods for generating these operators, applicable on any bounded lattice M by use of the presence of a t-norm on [0(M), k] and a t-conorm on [k, 1(M)] for an element k is an element of M/{0(M), 1(M)}. In addition, some corresponding examples are provided for well understanding the structure of new t-norms and t-conorms.

引用

页码：807 / 835

页数：29

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