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fuzzy neutrosophic prime ideals of bck-algebras
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نویسنده
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satyanarayana bavanari ,baji shake ,devanandam dola
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منبع
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journal of algebraic systems - 2025 - دوره : 13 - شماره : 2 - صفحه:109 -117
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چکیده
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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 ∈ [0, 1], the upper (a,b)-level cut and lower c-level cut are prime ideals of k.
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کلیدواژه
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intuitionistic fuzzy prime ideal (ifpi); fuzzy neutrosophic set (fns); fuzzy neutrosophic ideal (fni); fuzzy neutrosophic prime ideal (fnpi)
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آدرس
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acharya nagarjuna university, department of mathematics, india, sir c r reddy college of engineering, department of mathematics, india, government degree college, department of mathematics, india
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پست الکترونیکی
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ddn1998in@gmail.com
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Authors
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