Bipolar Neutrosophic Dombi-Based Heronian Mean Operators and Their Application in Multi-criteria Decision-Making Problems

Dombi operations based on the Dombi t-norm (TN) and t-conorm (TCN) have the advantage in terms of operational parameter flexibility in dealing with varying degrees of uncertainty and aggregation requirements. Meanwhile, Heronian mean (HM) operator is an effective technique for capturing the interrel...

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Published in:International Journal of Computational Intelligence Systems
Main Author: Yaacob S.N.; Hashim H.; Awang N.A.; Sulaiman N.H.; Al-Quran A.; Abdullah L.
Format: Article
Language:English
Published: Springer Science and Business Media B.V. 2024
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85198138459&doi=10.1007%2fs44196-024-00544-2&partnerID=40&md5=3d6d0dbf2a70c6b3cc50dd8534d73335
id 2-s2.0-85198138459
spelling 2-s2.0-85198138459
Yaacob S.N.; Hashim H.; Awang N.A.; Sulaiman N.H.; Al-Quran A.; Abdullah L.
Bipolar Neutrosophic Dombi-Based Heronian Mean Operators and Their Application in Multi-criteria Decision-Making Problems
2024
International Journal of Computational Intelligence Systems
17
1
10.1007/s44196-024-00544-2
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85198138459&doi=10.1007%2fs44196-024-00544-2&partnerID=40&md5=3d6d0dbf2a70c6b3cc50dd8534d73335
Dombi operations based on the Dombi t-norm (TN) and t-conorm (TCN) have the advantage in terms of operational parameter flexibility in dealing with varying degrees of uncertainty and aggregation requirements. Meanwhile, Heronian mean (HM) operator is an effective technique for capturing the interrelationship between any number of inputs. Bipolar neutrosophic set (BNS) offers the ability to represent both positive and negative information as well as indeterminate information. It is beneficial in cases where there is uncertainty or insufficient information. However, the existing Dombi operator under BNS do not take into account the interrelationship between input arguments. To overcome this limitation, this study incorporates Dombi operator into HM and propose the bipolar neutrosophic Dombi Heronian mean aggregation operator. This paper introduces two type of aggregation operators namely bipolar neutrosophic Dombi-based generalized weighted Heronian mean (BND-GWHM), and bipolar neutrosophic Dombi-based improved generalized weighted Heronian mean (BND-IGWHM). The proposed operators are integrated into MCDM procedure. The influence of different parameter values on decision-making results is discussed. Finally, a comparison analysis with existing methods is also provided. © The Author(s) 2024.
Springer Science and Business Media B.V.
18756891
English
Article
All Open Access; Gold Open Access
author Yaacob S.N.; Hashim H.; Awang N.A.; Sulaiman N.H.; Al-Quran A.; Abdullah L.
spellingShingle Yaacob S.N.; Hashim H.; Awang N.A.; Sulaiman N.H.; Al-Quran A.; Abdullah L.
Bipolar Neutrosophic Dombi-Based Heronian Mean Operators and Their Application in Multi-criteria Decision-Making Problems
author_facet Yaacob S.N.; Hashim H.; Awang N.A.; Sulaiman N.H.; Al-Quran A.; Abdullah L.
author_sort Yaacob S.N.; Hashim H.; Awang N.A.; Sulaiman N.H.; Al-Quran A.; Abdullah L.
title Bipolar Neutrosophic Dombi-Based Heronian Mean Operators and Their Application in Multi-criteria Decision-Making Problems
title_short Bipolar Neutrosophic Dombi-Based Heronian Mean Operators and Their Application in Multi-criteria Decision-Making Problems
title_full Bipolar Neutrosophic Dombi-Based Heronian Mean Operators and Their Application in Multi-criteria Decision-Making Problems
title_fullStr Bipolar Neutrosophic Dombi-Based Heronian Mean Operators and Their Application in Multi-criteria Decision-Making Problems
title_full_unstemmed Bipolar Neutrosophic Dombi-Based Heronian Mean Operators and Their Application in Multi-criteria Decision-Making Problems
title_sort Bipolar Neutrosophic Dombi-Based Heronian Mean Operators and Their Application in Multi-criteria Decision-Making Problems
publishDate 2024
container_title International Journal of Computational Intelligence Systems
container_volume 17
container_issue 1
doi_str_mv 10.1007/s44196-024-00544-2
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85198138459&doi=10.1007%2fs44196-024-00544-2&partnerID=40&md5=3d6d0dbf2a70c6b3cc50dd8534d73335
description Dombi operations based on the Dombi t-norm (TN) and t-conorm (TCN) have the advantage in terms of operational parameter flexibility in dealing with varying degrees of uncertainty and aggregation requirements. Meanwhile, Heronian mean (HM) operator is an effective technique for capturing the interrelationship between any number of inputs. Bipolar neutrosophic set (BNS) offers the ability to represent both positive and negative information as well as indeterminate information. It is beneficial in cases where there is uncertainty or insufficient information. However, the existing Dombi operator under BNS do not take into account the interrelationship between input arguments. To overcome this limitation, this study incorporates Dombi operator into HM and propose the bipolar neutrosophic Dombi Heronian mean aggregation operator. This paper introduces two type of aggregation operators namely bipolar neutrosophic Dombi-based generalized weighted Heronian mean (BND-GWHM), and bipolar neutrosophic Dombi-based improved generalized weighted Heronian mean (BND-IGWHM). The proposed operators are integrated into MCDM procedure. The influence of different parameter values on decision-making results is discussed. Finally, a comparison analysis with existing methods is also provided. © The Author(s) 2024.
publisher Springer Science and Business Media B.V.
issn 18756891
language English
format Article
accesstype All Open Access; Gold Open Access
record_format scopus
collection Scopus
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