Abstract

Weaker Forms of Soft Nano Open Sets

S. S. Benchalli1, P.G. Patil1, Nivedita S. Kabbur2 and J. Pradeepkumar3

1Department of Mathematics, Karnatak University, Dharwad-580003, Karnataka, INDIA. 2Department of Mathematics, BVB College of Engineering and Technology, Hubli-580031, Karnataka, INDIA. 3Department of Mathematics, SKSVMACET, Laxmeshwar-582116, Karnataka, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/697

ABSTRACT

In the present paper, the notion of weaker forms of soft nano open sets namely soft nano semi open, soft nano preopen, soft nano α-open and soft nano β-open sets in soft nano topological spaces are introduced and studied. The characterizations and the inter-relationship between these new classes of soft nano open sets are studied. 2000 Mathematics Subject Classifications: 54A05.

Keywords :soft nano topology, soft nano open set, soft nano closed set, soft nano semi open set, soft nano pre open set, soft nano α-open set, soft nano β-open set.

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