FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS
Publish place: Journal of Algebraic Systems، Vol: 13، Issue: 2
Publish Year: 1404
Type: Journal paper
Language: English
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Document National Code:
JR_JAS-13-2_007
Index date: 15 March 2025
FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS abstract
In this research paper, we introduce and analyze the notion of fuzzy neutrosophic prime ideals (FNPIs) in a commutative BCK-algebra \mathcal{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 \mathcal{K} is a FNPI of \mathcal{K}. We also prove that a fuzzy neutrosophic set of \mathcal{K} is a FNPI of \mathcal{K} if, for all a,b,c \in [0,1] , the upper (a,b)-level cut and lower c-level cut are prime ideals of \mathcal{K}.
FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS Keywords:
Intuitionistic Fuzzy Prime Ideal(IFPI) , Fuzzy Neutrosophic Set(FNS) , Fuzzy Neutrosophic Ideal(FNI) , Fuzzy Neutrosophic Prime Ideal(FNPI)
FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS authors
Bavanari Satyanarayana
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur-۵۲۲ ۵۱۰, Andhra Pradesh, India.
Shake Baji
Department of Mathematics, Sir C R Reddy college of Engineering, Eluru-۵۳۴ ۰۰۷, Andhra Pradesh, India.
Dola Devanandam
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur-۵۲۲ ۵۱۰, Andhra Pradesh, India.
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