2015•Advanced Trends in MathematicsOpen access

(∈, ∈ Vq)-Interval-Valued Fuzzy Dot d-Ideals of d-Algebras

S. R. Barbhuiya, Karabi Dutta Choudhury

Abstract

The concept of (∈, ∈ ∨q)-interval-valued fuzzy dot d-ideals in dalgebras is introduced. Relationship among interval-valued fuzzy dideal, interval-valued fuzzy dot d-ideal, (∈, ∈)-interval-valued fuzzy dideal,(∈, ∈)-interval-valued fuzzy dot d-ideal, and (∈, ∈ ∨q)-intervalvalued fuzzy dot d-ideals are discussed. Conditions for an intervalvalued fuzzy d-ideal to be an (∈, ∈ ∨q)-interval-valued fuzzy dot dideals are given. Some properties of interval-valued fuzzy relations and interval-valued fuzzy ideals under homomorphism are investigated.

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Key concepts: Mathematics, Homomorphism, Fuzzy logic, Ideal (ethics), Interval (graph theory), Discrete mathematics, Fuzzy set, Algebra over a field