Artificial Intelligent Systems and Machine Learning

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(∈,∈ ∨q)-Fuzzy Dot D-Ideals of D-Algebras


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1 Mathematics Department, Srikishan Sarda College, Hailakandi-788151, Assam, India
     

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The concept of (∈,∈ ∨q)-fuzzy dot d-ideals in d-algebras is introduced. Relationship between fuzzy d-ideal, fuzzy dot d-ideal, (∈,∈)--fuzzy d-ideal (∈, ∈) ---fuzzy dot d-ideal, and (∈,∈ ∨q)-fuzzy dot d-ideal are also discussed. Conditions for a fuzzy ideal to be an (∈,∈ ∨q)-fuzzy dot d-ideal are provided. Some properties of fuzzy relations and fuzzy ideals under homomorphism are investigated.


Keywords

D-Algebra, Fuzzy D-Ideal, Fuzzy Dot D-Ideal, (∈, ∈)---Fuzzy Dot D-Ieal, (∈,∈ ∨q)-Fuzzy Dot D-ideal.
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  • (∈,∈ ∨q)-Fuzzy Dot D-Ideals of D-Algebras

Abstract Views: 277  |  PDF Views: 4

Authors

S. R. Barbhuiya
Mathematics Department, Srikishan Sarda College, Hailakandi-788151, Assam, India

Abstract


The concept of (∈,∈ ∨q)-fuzzy dot d-ideals in d-algebras is introduced. Relationship between fuzzy d-ideal, fuzzy dot d-ideal, (∈,∈)--fuzzy d-ideal (∈, ∈) ---fuzzy dot d-ideal, and (∈,∈ ∨q)-fuzzy dot d-ideal are also discussed. Conditions for a fuzzy ideal to be an (∈,∈ ∨q)-fuzzy dot d-ideal are provided. Some properties of fuzzy relations and fuzzy ideals under homomorphism are investigated.


Keywords


D-Algebra, Fuzzy D-Ideal, Fuzzy Dot D-Ideal, (∈, ∈)---Fuzzy Dot D-Ieal, (∈,∈ ∨q)-Fuzzy Dot D-ideal.