On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product

被引：0

作者：

Alaba, Berhanu Assaye ^{[1
]}

Derseh, Beza Lamesgin ^{[1
]}

Wondifraw, Yohannes Gedamu ^{[1
]}

机构：

[1] Bahir Dar Univ, Coll Sci, Dept Math, Bahir Dar, Ethiopia

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS | 2023年 / 16卷 / 01期

关键词：

PMS-algebra; PMS-ideal; Intuitionistic fuzzy set; Intuitionistic fuzzy PMS-ideal; Homomorphism of intuitionistic fuzzy PMS-ideal; Cartesian product of intuitionistic fuzzy PMS-ideals and the strongest intuitionistic fuzzy relation;

D O I：

10.1007/s44196-023-00242-5

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 use the concept of an intuitionistic fuzzy set to PMS-ideals in PMS-algebras. We discuss the notion of intuitionistic fuzzy PMS-ideals under homomorphism and Cartesian product and investigate several related properties. The homomorphism of an intuitionistic fuzzy PMS-ideal of a PMS-algebra is studied, and its homomorphic image and inverse image are investigated. The Cartesian product of any two intuitionistic fuzzy PMS-ideals is discussed, and some related results are obtained. The Cartesian product of the intuitionistic fuzzy PMS-ideals is characterized in terms of their level sets. Finally, we discuss the concept of the strongest intuitionistic fuzzy relations on an intuitionistic fuzzy PMS-ideal of a PMS-algebra and investigate the relationships between the strongest intuitionistic fuzzy relations and the intuitionistic fuzzy PMS-ideals.

引用

页数：13

共 27 条

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