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Abstract The main purpose of this paper is to introduce and study two new operators () ₑ^ and clₑ^ () via primal which is a new notion. We also show that the operator clₑ^ () is a Kuratowski closure operator, while the operator () ₑ^ is not. In addition, we prove that the topology on X, shown as ₑ^, obtained by means of the operator clₑ^ () is finer than _, where _ is the family of -open subsets of a space (X, ). Moreover, we not only obtain a base for the topology ₑ^ but also prove many fundamental results concerning this new structure. Furthermore, we give many counterexamples related to our results. 2020 AMS Classifications: 54A05; 54B99; 54C60.
Özkoç et al. (Mon,) studied this question.