A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure
This paper proposes a consistency check method for hesitant fuzzy sets with confidence levels by employing a distance measure. Firstly, we analyze the difference between each fuzzy element and its corresponding attribute comprehensive decision value and then obtain a comprehensive distance measure f...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/9762695 |
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| _version_ | 1850212376226299904 |
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| author | Huimin Xiao Meiqi Wang Xiaoning Xi |
| author_facet | Huimin Xiao Meiqi Wang Xiaoning Xi |
| author_sort | Huimin Xiao |
| collection | DOAJ |
| description | This paper proposes a consistency check method for hesitant fuzzy sets with confidence levels by employing a distance measure. Firstly, we analyze the difference between each fuzzy element and its corresponding attribute comprehensive decision value and then obtain a comprehensive distance measure for each attribute. Subsequently, by taking the relative credibility as the weight, we assess the consistency of hesitant fuzzy sets. Finally, numerical examples are put forward to verify the effectiveness and reliability of the proposed method. |
| format | Article |
| id | doaj-art-8ea1797ef0154ef094da7d45e980b173 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8ea1797ef0154ef094da7d45e980b1732025-08-20T02:09:21ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/97626959762695A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance MeasureHuimin Xiao0Meiqi Wang1Xiaoning Xi2Henan University of Economics and Law, Zhengzhou 450046, ChinaHenan University of Economics and Law, Zhengzhou 450046, ChinaHenan University of Economics and Law, Zhengzhou 450046, ChinaThis paper proposes a consistency check method for hesitant fuzzy sets with confidence levels by employing a distance measure. Firstly, we analyze the difference between each fuzzy element and its corresponding attribute comprehensive decision value and then obtain a comprehensive distance measure for each attribute. Subsequently, by taking the relative credibility as the weight, we assess the consistency of hesitant fuzzy sets. Finally, numerical examples are put forward to verify the effectiveness and reliability of the proposed method.http://dx.doi.org/10.1155/2020/9762695 |
| spellingShingle | Huimin Xiao Meiqi Wang Xiaoning Xi A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure Complexity |
| title | A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure |
| title_full | A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure |
| title_fullStr | A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure |
| title_full_unstemmed | A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure |
| title_short | A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure |
| title_sort | consistency check method for trusted hesitant fuzzy sets with confidence levels based on a distance measure |
| url | http://dx.doi.org/10.1155/2020/9762695 |
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