Medical diagnosis in a indiscernibility matrix based on nano topology

This paper presents a study of new structure in nano topology. We propose an alternative formulation of nano topological space induced by different neighbourhoods. We also define different types of neighbourhood based on covering of the universe. The properties of various types of neighbourhood such...

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Main Authors: M. Lellis Thivagar, S.P.R. Priyalatha
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2017.1330180
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spelling doaj-485ec9f6f62c4e78893c8dc1e2e540c72020-11-24T22:01:14ZengTaylor & Francis GroupCogent Mathematics2331-18352017-01-014110.1080/23311835.2017.13301801330180Medical diagnosis in a indiscernibility matrix based on nano topologyM. Lellis Thivagar0S.P.R. Priyalatha1Madurai Kamaraj UniversityMadurai Kamaraj UniversityThis paper presents a study of new structure in nano topology. We propose an alternative formulation of nano topological space induced by different neighbourhoods. We also define different types of neighbourhood based on covering of the universe. The properties of various types of neighbourhood such as Right $ (N_{R}) $, Left $ (N_{L}) $, Intersection $ (N_{I}) $ and Union $ (N_{U}) $ of neighbourhoods are discussed. Further, we analysed their indiscernibility matrix and the indiscernibility function which gives the CORE based on nano topology in neighbourhood when applied in real life application.http://dx.doi.org/10.1080/23311835.2017.1330180covering approximation spaceindiscernibility matrixNR-neighbourhoodNL-neighbourhoodNU-neighbourhoodNI-neighbourhoodinformation system
collection DOAJ
language English
format Article
sources DOAJ
author M. Lellis Thivagar
S.P.R. Priyalatha
spellingShingle M. Lellis Thivagar
S.P.R. Priyalatha
Medical diagnosis in a indiscernibility matrix based on nano topology
Cogent Mathematics
covering approximation space
indiscernibility matrix
NR-neighbourhood
NL-neighbourhood
NU-neighbourhood
NI-neighbourhood
information system
author_facet M. Lellis Thivagar
S.P.R. Priyalatha
author_sort M. Lellis Thivagar
title Medical diagnosis in a indiscernibility matrix based on nano topology
title_short Medical diagnosis in a indiscernibility matrix based on nano topology
title_full Medical diagnosis in a indiscernibility matrix based on nano topology
title_fullStr Medical diagnosis in a indiscernibility matrix based on nano topology
title_full_unstemmed Medical diagnosis in a indiscernibility matrix based on nano topology
title_sort medical diagnosis in a indiscernibility matrix based on nano topology
publisher Taylor & Francis Group
series Cogent Mathematics
issn 2331-1835
publishDate 2017-01-01
description This paper presents a study of new structure in nano topology. We propose an alternative formulation of nano topological space induced by different neighbourhoods. We also define different types of neighbourhood based on covering of the universe. The properties of various types of neighbourhood such as Right $ (N_{R}) $, Left $ (N_{L}) $, Intersection $ (N_{I}) $ and Union $ (N_{U}) $ of neighbourhoods are discussed. Further, we analysed their indiscernibility matrix and the indiscernibility function which gives the CORE based on nano topology in neighbourhood when applied in real life application.
topic covering approximation space
indiscernibility matrix
NR-neighbourhood
NL-neighbourhood
NU-neighbourhood
NI-neighbourhood
information system
url http://dx.doi.org/10.1080/23311835.2017.1330180
work_keys_str_mv AT mlellisthivagar medicaldiagnosisinaindiscernibilitymatrixbasedonnanotopology
AT sprpriyalatha medicaldiagnosisinaindiscernibilitymatrixbasedonnanotopology
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