ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.34, ss.165-177, 2009 (SCI-Expanded)
We define new classes of sets called beta*-I-open set, pre*-I-open set, strongly t-I-set, beta*-t-I-set, strongly B-I-set, B*-I-set, strongly alpha-I-open set, and S-alpha-I-set in ideal topological spaces. Also, we obtain new decompositions of continuity in ideal topological spaces.