A novel approach on MGNT and MSGNT via central sets

S.P.R. Priyalatha; E. Prakash

doi:10.26637/MJM0801/0046

Abstract

Exploring nanotopology from the viewpoint of multigranulation has become one of the promising topics in theory of nano topological space in which lower and upper approximations are using multiple binary relations. In this paper is to develop two new concepts on nanotopological models which are specified by multi granular nanotopology “(MGNT)” and multi star granular nano topology “(MSGNT)” models by using central sets in a given approximation space. Further, the concepts of the two new models are proposed.Then some important properties and the relationship of the models are given.

Keywords:

Nanotopological Space, MGNT, MSGNT, Neighbourhood, Central set, Binary relation, Nano Type

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

S.P.R. Priyalatha PG and Research Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-641029, Tamil Nadu, India.
E. Prakash PG and Research Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-641029, Tamil Nadu, India.

Pages: 277-281
Date Published: 01-01-2020
Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)

Allam A., Bakeir Y. and Abo-Tabl.A, Some Methods for Generating Topologies by Relations, Bull. Malays. Math. Sci. Soc., 2(31)(1)(2008), 35-45.

Abo-Tabl E.A, Rough Sets and Topological Spaces Based on Similarity, International Journal of Machine Learning and Cybernetics, 4(2013), 451-458.

Bargiela A. and Pedrycz W, Granular Computing An Introduction, Kluwer Academic Publishers, Boston, (2002).

Kuratowski K, Topology, Vol.1, Academic Press., Newyork, (1996).

Liping An and Lingyun Tong, Aggregated Binary Relations and Rough Approximations, International Computer Science and Computational Technology, 2 (3)(2009), 45-48.

LellisThivagar M. and Carmel Richard, A Nano forms of Weakly open sets, International Journal of Mathematics and Statistics Invention, 1(1)(2013), 31-37.

Lellis Thivagar M. and Priyalatha S.P.R, A Heuristic Approach to Establish an Algebraic Structure on Multi Star Granular Nano Topology, Ultra Scientist, 28(1)A(2016), $33-42$.

Lellis Thivagar M. and Carmel Richard, A New Approach to Evaluate Operations on Multi Granular Nano Topology, International Mathematical Forum, 12(4)(2017), 173184.

Z. Pawlak, Rough Sets, International Journal of Computer and Information Sciences, 11(1982), 341-356.