Double Domination and Regular Domination in Intuitionistic Fuzzy Hypergraph
This study investigates the domination, double domination, and regular domination in intuitionistic fuzzy hypergraph (IFHG), which has enormous application in computer science, networking, chemical, and biological engineering. Few properties of double domination and regular domination of IFHG are es...
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Format: | Article |
Language: | English |
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Wiley
2022-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2022/1436194 |
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author | P. Aruna Sri N. Thamaraikannan K. Loganathan Dinesh Kumar Chaudhary |
author_facet | P. Aruna Sri N. Thamaraikannan K. Loganathan Dinesh Kumar Chaudhary |
author_sort | P. Aruna Sri |
collection | DOAJ |
description | This study investigates the domination, double domination, and regular domination in intuitionistic fuzzy hypergraph (IFHG), which has enormous application in computer science, networking, chemical, and biological engineering. Few properties of double domination and regular domination of IFHG are established. Furthermore, the definitions of complement and independent set of IFHG are given. The relation between the domination of an IFHG and the independent set of its complement was discussed. Moreover, the application of the double domination in the IFHG was illustrated by determining the containment zones for epidemic situations like COVID-19. |
format | Article |
id | doaj-art-91e8dc11cf014789b1a9bc199b87586b |
institution | Kabale University |
issn | 2314-4785 |
language | English |
publishDate | 2022-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Mathematics |
spelling | doaj-art-91e8dc11cf014789b1a9bc199b87586b2025-02-03T05:49:23ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1436194Double Domination and Regular Domination in Intuitionistic Fuzzy HypergraphP. Aruna Sri0N. Thamaraikannan1K. Loganathan2Dinesh Kumar Chaudhary3Department of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsAmrit CampusThis study investigates the domination, double domination, and regular domination in intuitionistic fuzzy hypergraph (IFHG), which has enormous application in computer science, networking, chemical, and biological engineering. Few properties of double domination and regular domination of IFHG are established. Furthermore, the definitions of complement and independent set of IFHG are given. The relation between the domination of an IFHG and the independent set of its complement was discussed. Moreover, the application of the double domination in the IFHG was illustrated by determining the containment zones for epidemic situations like COVID-19.http://dx.doi.org/10.1155/2022/1436194 |
spellingShingle | P. Aruna Sri N. Thamaraikannan K. Loganathan Dinesh Kumar Chaudhary Double Domination and Regular Domination in Intuitionistic Fuzzy Hypergraph Journal of Mathematics |
title | Double Domination and Regular Domination in Intuitionistic Fuzzy Hypergraph |
title_full | Double Domination and Regular Domination in Intuitionistic Fuzzy Hypergraph |
title_fullStr | Double Domination and Regular Domination in Intuitionistic Fuzzy Hypergraph |
title_full_unstemmed | Double Domination and Regular Domination in Intuitionistic Fuzzy Hypergraph |
title_short | Double Domination and Regular Domination in Intuitionistic Fuzzy Hypergraph |
title_sort | double domination and regular domination in intuitionistic fuzzy hypergraph |
url | http://dx.doi.org/10.1155/2022/1436194 |
work_keys_str_mv | AT parunasri doubledominationandregulardominationinintuitionisticfuzzyhypergraph AT nthamaraikannan doubledominationandregulardominationinintuitionisticfuzzyhypergraph AT kloganathan doubledominationandregulardominationinintuitionisticfuzzyhypergraph AT dineshkumarchaudhary doubledominationandregulardominationinintuitionisticfuzzyhypergraph |