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.
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页数：13
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