Novel Concepts in Vague Graphs with Application in Hospital’s Management System

Many problems of practical interest can be modeled and solved by using vague graph (VG) algorithms. Vague graphs, belonging to the fuzzy graphs (FGs) family, have good capabilities when faced with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of η,γ- HMs of...

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Main Authors: Xiaolong Shi, Saeed Kosari, N. Mehdipoor, A.A. Talebi, G. Muhiuddin
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/9129386
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author Xiaolong Shi
Saeed Kosari
N. Mehdipoor
A.A. Talebi
G. Muhiuddin
author_facet Xiaolong Shi
Saeed Kosari
N. Mehdipoor
A.A. Talebi
G. Muhiuddin
author_sort Xiaolong Shi
collection DOAJ
description Many problems of practical interest can be modeled and solved by using vague graph (VG) algorithms. Vague graphs, belonging to the fuzzy graphs (FGs) family, have good capabilities when faced with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of η,γ- HMs of VGs and classify homomorphisms (HMs), weak isomorphisms (WIs), and coweak isomorphisms (CWIs) of VGs by η,γ- HMs. Hospitals are very important organizations whose existence is directly related to the general health of the community. Hence, since the management in each ward of the hospital is very important, we have tried to determine the most effective person in a hospital based on the performance of its staff.
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institution Kabale University
issn 2314-4785
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publishDate 2022-01-01
publisher Wiley
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series Journal of Mathematics
spelling doaj-art-8aa648b508594748a9c2c32ea4bf2a5c2025-02-03T05:53:33ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9129386Novel Concepts in Vague Graphs with Application in Hospital’s Management SystemXiaolong Shi0Saeed Kosari1N. Mehdipoor2A.A. Talebi3G. Muhiuddin4Institute of Computing Science and TechnologyInstitute of Computing Science and TechnologyDepartment of Mathematics University of MazandaranDepartment of Mathematics University of MazandaranDepartment of MathematicsMany problems of practical interest can be modeled and solved by using vague graph (VG) algorithms. Vague graphs, belonging to the fuzzy graphs (FGs) family, have good capabilities when faced with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of η,γ- HMs of VGs and classify homomorphisms (HMs), weak isomorphisms (WIs), and coweak isomorphisms (CWIs) of VGs by η,γ- HMs. Hospitals are very important organizations whose existence is directly related to the general health of the community. Hence, since the management in each ward of the hospital is very important, we have tried to determine the most effective person in a hospital based on the performance of its staff.http://dx.doi.org/10.1155/2022/9129386
spellingShingle Xiaolong Shi
Saeed Kosari
N. Mehdipoor
A.A. Talebi
G. Muhiuddin
Novel Concepts in Vague Graphs with Application in Hospital’s Management System
Journal of Mathematics
title Novel Concepts in Vague Graphs with Application in Hospital’s Management System
title_full Novel Concepts in Vague Graphs with Application in Hospital’s Management System
title_fullStr Novel Concepts in Vague Graphs with Application in Hospital’s Management System
title_full_unstemmed Novel Concepts in Vague Graphs with Application in Hospital’s Management System
title_short Novel Concepts in Vague Graphs with Application in Hospital’s Management System
title_sort novel concepts in vague graphs with application in hospital s management system
url http://dx.doi.org/10.1155/2022/9129386
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