A bipolar fuzzy subset θ = { x , ( θ P ( x ) , θ N ( x ) ) , ∀ x ∈ R } of ring R is a bipolar fuzzy subring if it satisfied the two axioms for positive membership and two axioms for negative membership θ P ( x − y ) ≥ m i n { θ P ( x ) , θ P ( y ) } , θ P ( x y ) ≥ m i n { θ P ( x ) , θ P ( y ) } , and θ N ( x − y ) ≤ ...
Aug 1, 2021
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[PDF] A Certain Structure of Bipolar Fuzzy Subrings - Semantic Scholar
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Aug 1, 2021 · This article develops a certain structure of bipolar fuzzy subrings, including bipolar fuzzy quotient ring, bipolar fuzzy ring homomorphism, and ...
Jul 17, 2024 · This article develops a certain structure of bipolar fuzzy subrings, including bipolar fuzzy quotient ring, bipolar fuzzy ring homomorphism, and ...
This article develops a certain structure of bipolar fuzzy subrings, including bipolar fuzzy quotient ring, bipolar fuzzy ring homomorphism, and bipolar fuzzy ...
A certain structure of bipolar fuzzy subrings, including bipolar fuzzy quotient ring, bipolar fuzzy ring homomorphism, and bipolar fuzzyRing isomorphism is ...
This article develops a certain structure of bipolar fuzzy subrings, including bipolar fuzzy quotient ring, bipolar fuzzy ring homomorphism, and bipolar fuzzy ...
Aug 1, 2021 · This article develops a certain structure of bipolar fuzzy subrings, including bipolar fuzzy quotient ring, bipolar fuzzy ring homomorphism ...
This article develops a certain structure of bipolar fuzzy subrings, including bipolar fuzzy quotient ring, bipolar fuzzy ring homomorphism, and bipolar fuzzy ...
In this paper, we study some of the properties of bipolar valued fuzzy subring of a ring and prove some results on these. Using some basic definitions, we.
Oct 22, 2024 · Definition: A Bipolar valued fuzzy subset B=<ƒ+,ƒ->. of a group G is said to be Bipolar valued fuzzy ; subgroup of G if. ƒ+(x-1y)≥min{ƒ+(x), ƒ+(y)}.