ON HOMOMORPHISM AND CARTESIANPRODUCTS OF INTUITIONISTIC FUZZYPMS-SUBALGEBRA OF A PMS-ALGEBRA

被引：0
|
作者：
Derseh, Beza Lamesgin [1 ]
Alaba, Berhanu Assaye [1 ]
Wondifraw, Yohannes Gedamu [1 ]
机构：
[1] Bahir Dar Univ, Coll Sci, Dept Math, Bahir Dar, Ethiopia
来源：
BULLETIN OF THE SECTION OF LOGIC | 2023年 / 52卷 / 01期
关键词：
PMS-algebra; intuitionistic fuzzy PMS-subalgebra; homomorphism; cartesian product and strongest intuitionistic fuzzy relation;
D O I：
10.18778/0138-0680.2023.08
中图分类号：
B81 [逻辑学（论理学）];
学科分类号：
010104 ; 010105 ;
摘要：
In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebras under homomorphism and Cartesian product and investigate several properties. We study the homomorphic image and inverse image of the intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, which are also intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, and find some other interesting results. Furthermore, we also prove that the Cartesian product of intuitionistic fuzzy PMS-subalgebras is again an intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its level sets. Finally, we consider the strongest intuitionistic fuzzy PMS-relations on an intuitionistic fuzzy set in a PMS-algebra and demonstrate that an intuitionistic fuzzy PMS-relation on an intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra if and only if the corresponding intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra.
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页数：108
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