Bukhatwa I.Demiralp S.2023-04-122023-04-122020-01-01https://hdl.handle.net/20.500.12597/4901In this article, we introduce and study the concepts of γij-semi-I-open sets and γijβI-open sets by generalizing (i, j)-semi-I-open sets and (ij)-βI-open sets, respectively, in ideal bitopological spaces with an operation γ: τ → P(X). Further, we describe and study (γ, δ)ij-semiI-continuous and (γ, δ)ij-βI-continuous functions in ideal bitopological spaces and their related notions. In addition, various examples and counterexamples are given for answers to some questions raised in this study.true(γ-βI−continuous functions -βI−continuous functions) ij | Cl (A) γi | Ideal bitopological space | Int (A) γi | γij-semi-I-open sets | γij-βI-open setsArticle10.29020/nybg.ejpam.v13i2.36492-s2.0-85085113225