Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making

Topology is studying the objects which are considered to be equal if they may also be continually deformed through other shapes as bending and twisting without tearing or glueing them. Topology is similar in geometrical structures and quantitatively equivalent. Nanotopology is the study of set. The...

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Main Authors: D. Ajay, J. Joseline Charisma, T. Petaratip, P. Hammachukiattikul, N. Boonsatit, Jihad A. Younis, G. Rajchakit
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/2571301
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author D. Ajay
J. Joseline Charisma
T. Petaratip
P. Hammachukiattikul
N. Boonsatit
Jihad A. Younis
G. Rajchakit
author_facet D. Ajay
J. Joseline Charisma
T. Petaratip
P. Hammachukiattikul
N. Boonsatit
Jihad A. Younis
G. Rajchakit
author_sort D. Ajay
collection DOAJ
description Topology is studying the objects which are considered to be equal if they may also be continually deformed through other shapes as bending and twisting without tearing or glueing them. Topology is similar in geometrical structures and quantitatively equivalent. Nanotopology is the study of set. The main goal of this article is to propose the idea of generalized closed sets in Pythagorean nanotopological spaces. In addition, the concept of semigeneralized closed sets is also defined, and their properties are investigated. An application to MADM using Pythagorean nanotopology has been proposed and illustrated using a numerical example.
format Article
id doaj-art-1c6fa920510a4b3d8c01409d322b521e
institution Kabale University
issn 2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-1c6fa920510a4b3d8c01409d322b521e2025-02-03T01:20:38ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/2571301Pythagorean Nanogeneralized Closed Sets with Application in Decision-MakingD. Ajay0J. Joseline Charisma1T. Petaratip2P. Hammachukiattikul3N. Boonsatit4Jihad A. Younis5G. Rajchakit6Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsTopology is studying the objects which are considered to be equal if they may also be continually deformed through other shapes as bending and twisting without tearing or glueing them. Topology is similar in geometrical structures and quantitatively equivalent. Nanotopology is the study of set. The main goal of this article is to propose the idea of generalized closed sets in Pythagorean nanotopological spaces. In addition, the concept of semigeneralized closed sets is also defined, and their properties are investigated. An application to MADM using Pythagorean nanotopology has been proposed and illustrated using a numerical example.http://dx.doi.org/10.1155/2021/2571301
spellingShingle D. Ajay
J. Joseline Charisma
T. Petaratip
P. Hammachukiattikul
N. Boonsatit
Jihad A. Younis
G. Rajchakit
Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making
Journal of Function Spaces
title Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making
title_full Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making
title_fullStr Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making
title_full_unstemmed Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making
title_short Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making
title_sort pythagorean nanogeneralized closed sets with application in decision making
url http://dx.doi.org/10.1155/2021/2571301
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