ON NANO REGULAR GENERALIZED N????-I-CLOSED SETS IN IDEAL NANO TOPOLOGICAL SPACES

Abstract

In this paper, a new class of generalized closed sets, namely g_rN????-I-closed sets, is introduced in ideal nano topological spaces by using Nr-open sets. The fundamental properties and characterizations of these sets are investigated in detail. The relationships between g_rN????-I-closed sets and several existing classes such as Nθ-I-closed sets, gNθ-I-closed sets, g_sN????-I- closed sets and Nrg-closed sets are established. Furthermore, the concepts of grNθ-I-open sets and related structural properties are explored.