Novel Multiple Criteria Group Decision-Making Method Based on Hesitant Fuzzy Clustering Algorithm

The aim of this paper is to investigate the multiple criteria group decision-making problem in which the evaluation values provided by experts construct some hesitant fuzzy numbers. We first analyze the characteristics of hesitant fuzzy number (HFN) and define the concept of feature vector of HFN. T...

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Main Authors: Hongya Bian, Deqing Li, Yuang Liu, Rong Ma, Wenyi Zeng, Zeshui Xu
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/10735183/
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author Hongya Bian
Deqing Li
Yuang Liu
Rong Ma
Wenyi Zeng
Zeshui Xu
author_facet Hongya Bian
Deqing Li
Yuang Liu
Rong Ma
Wenyi Zeng
Zeshui Xu
author_sort Hongya Bian
collection DOAJ
description The aim of this paper is to investigate the multiple criteria group decision-making problem in which the evaluation values provided by experts construct some hesitant fuzzy numbers. We first analyze the characteristics of hesitant fuzzy number (HFN) and define the concept of feature vector of HFN. Then, applying the feature vectors of HFNs, some new similarity measures of HFNs are presented, which do not need to add elements to the HFN with fewer elements in the calculation process. Therefore, fuzzy similarity matrix is constructed, which is used to obtain a fuzzy equivalent matrix by using transitive closure method. By applying the fuzzy equivalent matrix, a novel hesitant fuzzy clustering algorithm is given. Furthermore, a new multiple criteria group decision making (MCGDM) algorithm is developed on the basis of the hesitant fuzzy clustering algorithm and the idea of ideal solution in multiple criteria decision making theory. To illustrate the effectiveness and feasibility of the developed MCGDM method, a numerical example is given and analyzed in detail. The results illustrate that the proposed method can provide more reasonable and credible rankings comparing with existing methods owing to keeping original data during computation.
format Article
id doaj-art-6f62569ab8264638a753ba8bdc43883f
institution Kabale University
issn 2169-3536
language English
publishDate 2025-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj-art-6f62569ab8264638a753ba8bdc43883f2025-01-28T00:01:18ZengIEEEIEEE Access2169-35362025-01-0113155721558410.1109/ACCESS.2024.348637010735183Novel Multiple Criteria Group Decision-Making Method Based on Hesitant Fuzzy Clustering AlgorithmHongya Bian0Deqing Li1Yuang Liu2Rong Ma3Wenyi Zeng4https://orcid.org/0000-0002-8908-3329Zeshui Xu5https://orcid.org/0000-0003-3547-2908School of Data Science and Intelligent Engineering, Xiamen Institute of Technology, Xiamen, ChinaSchool of Data Science and Intelligent Engineering, Xiamen Institute of Technology, Xiamen, ChinaSchool of Artificial Intelligence, Beijing Normal University, Beijing, ChinaSchool of Artificial Intelligence, Beijing Normal University, Beijing, ChinaSchool of Artificial Intelligence, Beijing Normal University, Beijing, ChinaBusiness School, Sichuan University, Chengdu, ChinaThe aim of this paper is to investigate the multiple criteria group decision-making problem in which the evaluation values provided by experts construct some hesitant fuzzy numbers. We first analyze the characteristics of hesitant fuzzy number (HFN) and define the concept of feature vector of HFN. Then, applying the feature vectors of HFNs, some new similarity measures of HFNs are presented, which do not need to add elements to the HFN with fewer elements in the calculation process. Therefore, fuzzy similarity matrix is constructed, which is used to obtain a fuzzy equivalent matrix by using transitive closure method. By applying the fuzzy equivalent matrix, a novel hesitant fuzzy clustering algorithm is given. Furthermore, a new multiple criteria group decision making (MCGDM) algorithm is developed on the basis of the hesitant fuzzy clustering algorithm and the idea of ideal solution in multiple criteria decision making theory. To illustrate the effectiveness and feasibility of the developed MCGDM method, a numerical example is given and analyzed in detail. The results illustrate that the proposed method can provide more reasonable and credible rankings comparing with existing methods owing to keeping original data during computation.https://ieeexplore.ieee.org/document/10735183/Hesitant fuzzy numberfeature vector of HFNhesitant fuzzy clustering algorithmmultiple criteria group decision making
spellingShingle Hongya Bian
Deqing Li
Yuang Liu
Rong Ma
Wenyi Zeng
Zeshui Xu
Novel Multiple Criteria Group Decision-Making Method Based on Hesitant Fuzzy Clustering Algorithm
IEEE Access
Hesitant fuzzy number
feature vector of HFN
hesitant fuzzy clustering algorithm
multiple criteria group decision making
title Novel Multiple Criteria Group Decision-Making Method Based on Hesitant Fuzzy Clustering Algorithm
title_full Novel Multiple Criteria Group Decision-Making Method Based on Hesitant Fuzzy Clustering Algorithm
title_fullStr Novel Multiple Criteria Group Decision-Making Method Based on Hesitant Fuzzy Clustering Algorithm
title_full_unstemmed Novel Multiple Criteria Group Decision-Making Method Based on Hesitant Fuzzy Clustering Algorithm
title_short Novel Multiple Criteria Group Decision-Making Method Based on Hesitant Fuzzy Clustering Algorithm
title_sort novel multiple criteria group decision making method based on hesitant fuzzy clustering algorithm
topic Hesitant fuzzy number
feature vector of HFN
hesitant fuzzy clustering algorithm
multiple criteria group decision making
url https://ieeexplore.ieee.org/document/10735183/
work_keys_str_mv AT hongyabian novelmultiplecriteriagroupdecisionmakingmethodbasedonhesitantfuzzyclusteringalgorithm
AT deqingli novelmultiplecriteriagroupdecisionmakingmethodbasedonhesitantfuzzyclusteringalgorithm
AT yuangliu novelmultiplecriteriagroupdecisionmakingmethodbasedonhesitantfuzzyclusteringalgorithm
AT rongma novelmultiplecriteriagroupdecisionmakingmethodbasedonhesitantfuzzyclusteringalgorithm
AT wenyizeng novelmultiplecriteriagroupdecisionmakingmethodbasedonhesitantfuzzyclusteringalgorithm
AT zeshuixu novelmultiplecriteriagroupdecisionmakingmethodbasedonhesitantfuzzyclusteringalgorithm