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Fuzzy Information and Engineering 2023, 15(2): 149-161 https://doi.org/10.26599/FIE.2023.9270010
Article | Open Access | Issue | Published: 30 June 2023

Complex Hesitant Fuzzy Graph

Show Author's Information Eman A. AbuHijleh1( )
Department of Basic Sciences, Al-Zarqa University College, Al-Balqa Applied University, Zarqa 313, Jordan
Keywords:
complex hesitant fuzzy graph, vertex degree, direct product, product of two complex hesitant fuzzy graphs
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AbuHijleh EA. Complex Hesitant Fuzzy Graph. Fuzzy Information and Engineering, 2023, 15(2): 149-161. https://doi.org/10.26599/FIE.2023.9270010
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Abstract Full text About this article

Government policymakers face a problem about illustrating and evaluating strategies and plan to design active communities which need to be assessed for studying the collaboration between ministries. This work aims at proposing a complex hesitant fuzzy graph that represents the collaboration and its factors between ministries. The present graph can transform complex information using two variables, which modify the consistency and performance of hesitant fuzzy graphs in representing information and the phases. The additional variable represents the phase/level/factors of information that may affect the meaning of the information. In addition, three types of products are defined between two complex hesitant fuzzy graphs. The vertex degrees of these new graphs are investigated and proved. Finally, the proposed graphs are illustrated by an application problem of evaluating the cooperation between ministries and inside one ministry to enhance the tool in representing two variables.


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About this article

Complex Hesitant Fuzzy Graph

Show Author's information Eman A. AbuHijleh1( )
Department of Basic Sciences, Al-Zarqa University College, Al-Balqa Applied University, Zarqa 313, Jordan

Abstract

Government policymakers face a problem about illustrating and evaluating strategies and plan to design active communities which need to be assessed for studying the collaboration between ministries. This work aims at proposing a complex hesitant fuzzy graph that represents the collaboration and its factors between ministries. The present graph can transform complex information using two variables, which modify the consistency and performance of hesitant fuzzy graphs in representing information and the phases. The additional variable represents the phase/level/factors of information that may affect the meaning of the information. In addition, three types of products are defined between two complex hesitant fuzzy graphs. The vertex degrees of these new graphs are investigated and proved. Finally, the proposed graphs are illustrated by an application problem of evaluating the cooperation between ministries and inside one ministry to enhance the tool in representing two variables.

Keywords: complex hesitant fuzzy graph, vertex degree, direct product, product of two complex hesitant fuzzy graphs

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Received: 05 January 2023
Revised: 15 March 2023
Accepted: 07 April 2023
Published: 30 June 2023
Issue date: June 2023

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© The Author(s) 2023. Published by Tsinghua University Press.

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This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

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