FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS

被引：0
|
作者：
Satyanarayana, B. [1 ]
Baji, Sh. [2 ]
Devanandam, D. [3 ]
机构：
[1] Acharya Nagarjuna Univ, Dept Math, Guntur 522510, Andhra Pradesh, India
[2] Sir CR Reddy Coll Engn, Dept Math, Eluru 534007, Andhra Pradesh, India
[3] Govt Degree Coll, Dept Math, Eluru 534460, Andhra Pradesh, India
来源：
JOURNAL OF ALGEBRAIC SYSTEMS | 2025年 / 13卷 / 02期
关键词：
Intuitionistic fuzzy prime ideal (IFPI); Fuzzy neutrosophic set (FNS); Fuzzy neutrosophic ideal (FNI); Fuzzy neutrosophic prime ideal (FNPI);
D O I：
10.22044/JAS.2023.12903.1701
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this research paper, we introduce and analyse the notion of fuzzy neutrosophic prime ideals (FNPIs) in a commutative BCK-algebra K. It represents a further extension of prime ideals in the context of fuzzy neutrosophic sets. We provide an example that shows that not every fuzzy neutrosophic ideal of a commutative BCK-algebra K is a FNPI of K. We also prove that a fuzzy neutrosophic set of K is a FNPI of K if, for all a, b, c is an element of [0, 1], the upper (a,b)-level cut and lower c-level cut are prime ideals of K.
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页数：10
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