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.
Advanced Trends in Mathematics (Volume 3)
S.R. Barbhuiya and K. D. Choudhury, "(∈, ∈ Vq)-Interval-Valued Fuzzy Dot d-Ideals of d-Algebras", Advanced Trends in Mathematics, Vol. 3, pp. 1-15, 2015