Construction of some algebras of logic by using fuzzy ideals in MV-modules

被引：1

作者：

Bakhshi, M. ^{[1
]}

Ahn, S. S. ^{[2
]}

Jun, Y. B. ^{[3
]}

Xin, X. L. ^{[4
]}

Borzooei, R. A. ^{[5
]}

机构：

[1] Univ Bojnord, Dept Math, Bojnord, Iran

[2] Dongguk Univ, Dept Math Educ, Seoul 04620, South Korea

[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju, South Korea

[4] Northwest Univ, Dept Math, Xian, Peoples R China

[5] Shahid Beheshti Univ Tehran, Dept Math, Tehran, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2023年 / 44卷 / 03期

关键词：

MV-module; fuzzy A-ideal; fuzzy congruence; distributive lattice;

D O I：

10.3233/JIFS-221552

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We study the lattice structure of fuzzy A-ideals in an MV-module M (Faid(M), symbolically) and show that it is a complete Heyting lattice and so the set of its pseudocomplements forms a Boolean algebra. In the sequel, the properties of fuzzy congruences in an MV-module are investigated and using them some structural theorems are stated and proved. Finally, it is proved that Faid(M) can be embedded into the lattice of fuzzy congruences.

引用

页码：4509 / 4519

页数：11

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