On Nano πgα-Closed Sets

Authors : Ilangovan Rajasekaran, Ochanan Nethaji

Pages : 66-72

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Publication Date : 2018-03-26

Article Type : Research

Abstract :In this paper, we define and study the properties of a nano πgα-closed set which is a weaker form of a nano πg-closed set but strong than a nano πgp-closed sets and we define a new class of sets called nano πgα-closed sets and some of their properties. Thivagar et al. [4] introduced a nano topological space with respect to a subset X  of an universe which is defined in terms of lower approximation and upper approximation and boundary region. The classical nano topological space is based on an  equivalence relation on a set, but in some situation, equivalence relations are nor  suitable for coping with granularity, instead the classical nano topology is extend to  general binary relation based covering nano topological space  Bhuvaneswari et al. [3] introduced and investigated nano g-closed sets in nano  topological spaces. Recently, Parvathy and Bhuvaneswari the notions of nano gprclosed sets which are implied both that of nano rg-closed sets. In 2017, Rajasekaran  et al. [7] introduced the notion of nano πgp-closed sets in nano topological spaces.
Keywords : Nano π-closed set, nano πg-closed set, nano αg-closed set, nano πgp-closed set, nano gpr-closed set and nano πgα-closed set