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
收藏
页码：4509 / 4519
页数：11
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