Congruence Relations and Direct Decomposition of Uninorms on Bounded Lattices

被引：0

作者：

Karacal, Funda ^{[1
]}

Ertugrul, Umit ^{[1
]}

Arpaci, Samet ^{[1
]}

Kesicioglu, M. Nesibe ^{[2
]}

机构：

[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkiye

[2] ADUTF, TR-53100 Aydin, Turkiye

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2023年 / 31卷 / 06期

关键词：

Uninorm; bounded lattice; congruence; U-idempotent element; factor congruence; T-NORMS; TRIANGULAR NORMS; CONSTRUCTION; MYCIN;

D O I：

10.1142/S0218488523500460

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 concept of U-compatible congruence and its related properties are studied. We also focus on homomorphism theorems for uninorms. Decomposition of uninorms is investigated via factor congruences, at first. Subsequently, we investigate decomposition of conjunctive and disjunctive uninorms, respectively. After all, we determine necessary and sufficient conditions for decomposition of some uninorms that are neither conjunctive nor disjunctive. In addition to all these, we shed light on the application of our results with the examples.

引用

页码：1033 / 1059

页数：27

共 30 条

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