Abstract
In this paper, we introduce the notions of intervalvalued rough (∈ *, ∈ * ∨ q*)-fuzzy subsemigroup, intervalvalued rough (∈ *, ∈ * ∨ q*)-fuzzy ideals, intervalvalued rough (∈ *, ∈ * ∨ q*)-fuzzy bi-ideal, intervalvalued rough (∈ *, ∈ * ∨ q*)-fuzzy interior ideal and intervalvalued rough (∈ *, ∈ * ∨ q*)-fuzzy quasi ideal as a further generalization of ideals in semigroups and study the properties of these structures.
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