Novel Distance and Similarity Measures on Hesitant Fuzzy Linguistic Term Sets and Their Application in Clustering Analysis
The existing distance and similarity measures of hesitant fuzzy linguistic term sets (HFLTSs) only cover the difference of linguistic terms but have no consideration of the difference between the numbers of linguistic terms. Thus, the concept of hesitance degree of HFLTSs is introduced to describe t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8758146/ |
| _version_ | 1818642927216230400 |
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| author | Zhenyu Zhang Jin Li Youshuai Sun Jie Lin |
| author_facet | Zhenyu Zhang Jin Li Youshuai Sun Jie Lin |
| author_sort | Zhenyu Zhang |
| collection | DOAJ |
| description | The existing distance and similarity measures of hesitant fuzzy linguistic term sets (HFLTSs) only cover the difference of linguistic terms but have no consideration of the difference between the numbers of linguistic terms. Thus, the concept of hesitance degree of HFLTSs is introduced to describe the hesitant degree among several linguistic terms in each HFLTS during the decision-makers' evaluating process. Considering the hesitance degree of HFLTSs, several novel distance and similarity measures of HFLTSs are developed, and their properties are discussed. Afterward, a novel hesitant fuzzy linguistic-based on the novel similarity measures and the Boolean matrix is developed to classify the objects with hesitant fuzzy linguistic information and a numerical example of the automobile recommendation is given to illustrate the performance of our developed clustering method. The results indicate that our developed clustering method can fully express the original evaluation information and has less computational effects on clustering results than the previous method. |
| first_indexed | 2024-12-16T23:50:50Z |
| format | Article |
| id | doaj.art-ecea5fc8fc914eaaaa9adcf8e2248e1e |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-16T23:50:50Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-ecea5fc8fc914eaaaa9adcf8e2248e1e2022-12-21T22:11:21ZengIEEEIEEE Access2169-35362019-01-01710023110024210.1109/ACCESS.2019.29276428758146Novel Distance and Similarity Measures on Hesitant Fuzzy Linguistic Term Sets and Their Application in Clustering AnalysisZhenyu Zhang0https://orcid.org/0000-0002-4888-4023Jin Li1Youshuai Sun2Jie Lin3School of Economics and Management, Tongji University, Shanghai, ChinaSchool of Economics and Management, Tongji University, Shanghai, ChinaSchool of Economics and Management, Tongji University, Shanghai, ChinaSchool of Economics and Management, Tongji University, Shanghai, ChinaThe existing distance and similarity measures of hesitant fuzzy linguistic term sets (HFLTSs) only cover the difference of linguistic terms but have no consideration of the difference between the numbers of linguistic terms. Thus, the concept of hesitance degree of HFLTSs is introduced to describe the hesitant degree among several linguistic terms in each HFLTS during the decision-makers' evaluating process. Considering the hesitance degree of HFLTSs, several novel distance and similarity measures of HFLTSs are developed, and their properties are discussed. Afterward, a novel hesitant fuzzy linguistic-based on the novel similarity measures and the Boolean matrix is developed to classify the objects with hesitant fuzzy linguistic information and a numerical example of the automobile recommendation is given to illustrate the performance of our developed clustering method. The results indicate that our developed clustering method can fully express the original evaluation information and has less computational effects on clustering results than the previous method.https://ieeexplore.ieee.org/document/8758146/Hesitant fuzzy linguistic term setsdistance measuresimilarity measurehesitance degreeclustering analysis |
| spellingShingle | Zhenyu Zhang Jin Li Youshuai Sun Jie Lin Novel Distance and Similarity Measures on Hesitant Fuzzy Linguistic Term Sets and Their Application in Clustering Analysis IEEE Access Hesitant fuzzy linguistic term sets distance measure similarity measure hesitance degree clustering analysis |
| title | Novel Distance and Similarity Measures on Hesitant Fuzzy Linguistic Term Sets and Their Application in Clustering Analysis |
| title_full | Novel Distance and Similarity Measures on Hesitant Fuzzy Linguistic Term Sets and Their Application in Clustering Analysis |
| title_fullStr | Novel Distance and Similarity Measures on Hesitant Fuzzy Linguistic Term Sets and Their Application in Clustering Analysis |
| title_full_unstemmed | Novel Distance and Similarity Measures on Hesitant Fuzzy Linguistic Term Sets and Their Application in Clustering Analysis |
| title_short | Novel Distance and Similarity Measures on Hesitant Fuzzy Linguistic Term Sets and Their Application in Clustering Analysis |
| title_sort | novel distance and similarity measures on hesitant fuzzy linguistic term sets and their application in clustering analysis |
| topic | Hesitant fuzzy linguistic term sets distance measure similarity measure hesitance degree clustering analysis |
| url | https://ieeexplore.ieee.org/document/8758146/ |
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