Intuitionistic Q-Fuzzy PMS-Subalgebras and Their Level Subsets in a PMS-Algebra

被引：0
|
作者：
Derseh, Beza Lamesgin [1 ]
Wondifraw, Yohannes Gedamu [1 ]
Alaba, Berhanu Assaye [1 ]
机构：
[1] Bahir Dar Univ, Dept Math, Bahir Dar, Ethiopia
来源：
NEW MATHEMATICS AND NATURAL COMPUTATION | 2023年 / 19卷 / 02期
关键词：
PMS-algebra; PMS-subalgebra; intuitionistic Q-fuzzy set (IQFS); intuitionistic Q-fuzzy PMS-subalgebra (IQF PMS-SA); level PMS-subalgebra;
D O I：
10.1142/S1793005723500199
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the notion of an intuitionistic Q-fuzzy PMS-subalgebra of a PMS-algebra by using the concept of intuitionistic Q-fuzzy subsets in a PMS-algebra and investigate some of their related properties. We define and study the level subsets of an intuitionistic Q-fuzzy PMS-subalgebra of a PMS-algebra and subsequently characterize an intuitionistic Q-fuzzy PMS-subalgebra in terms of its level subsets. In turn, we prove that every PMS-subalgebra of a PMS-algebra is also the level PMS-subalgebra of an intuitionistic Q-fuzzy PMS-subalgebra of a PMS-algebra.
引用
收藏
页码：503 / 524
页数：22
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