Hesitant distance set on hesitant fuzzy sets and its application in urban road traffic state identification.

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Title: Hesitant distance set on hesitant fuzzy sets and its application in urban road traffic state identification.
Authors: Zhang, Fangwei1 fangweizhang@aliyun.com, Li, Jianbo2 ljianb66@gmail.com, Chen, Jihong1 jhchen@shmtu.edu.cn, Sun, Jing2, Attey, Augustine1
Source: Engineering Applications of Artificial Intelligence. May2017, Vol. 61, p57-64. 8p.
Subjects: Traffic engineering software, Fuzzy sets, Application software, Comparative studies, Algebra software
Abstract: Since fuzziness lacks the distinction between a set and its complement, it is difficult to measure the distance between different hesitant fuzzy sets (HFSs) by a single value. In this study, a new concept “hesitant distance set (HDS)” is proposed, where the distance between different HFSs can be characterized by a series of different values. This study has three primary contributions. Firstly, most of the existing distance measures on HFSs are based on vector operation, while the novel proposed HDSs are based on set operation. Secondly, a statistical method is proposed to compare different HDSs, and some important properties of the comparison method are introduced. Thirdly, the characteristics of the novel HDSs and the classical hesitant distances are studied comparatively. Finally, the practicality and validity of the HDSs on HFSs are illustrated through an urban road traffic state identification example. [ABSTRACT FROM AUTHOR]
Copyright of Engineering Applications of Artificial Intelligence is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Hesitant distance set on hesitant fuzzy sets and its application in urban road traffic state identification.
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  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Fangwei%22">Zhang, Fangwei</searchLink><relatesTo>1</relatesTo><i> fangweizhang@aliyun.com</i><br /><searchLink fieldCode="AR" term="%22Li%2C+Jianbo%22">Li, Jianbo</searchLink><relatesTo>2</relatesTo><i> ljianb66@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Chen%2C+Jihong%22">Chen, Jihong</searchLink><relatesTo>1</relatesTo><i> jhchen@shmtu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Sun%2C+Jing%22">Sun, Jing</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Attey%2C+Augustine%22">Attey, Augustine</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="DE" term="%22Traffic+engineering+software%22">Traffic engineering software</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink><br /><searchLink fieldCode="DE" term="%22Application+software%22">Application software</searchLink><br /><searchLink fieldCode="DE" term="%22Comparative+studies%22">Comparative studies</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra+software%22">Algebra software</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Since fuzziness lacks the distinction between a set and its complement, it is difficult to measure the distance between different hesitant fuzzy sets (HFSs) by a single value. In this study, a new concept “hesitant distance set (HDS)” is proposed, where the distance between different HFSs can be characterized by a series of different values. This study has three primary contributions. Firstly, most of the existing distance measures on HFSs are based on vector operation, while the novel proposed HDSs are based on set operation. Secondly, a statistical method is proposed to compare different HDSs, and some important properties of the comparison method are introduced. Thirdly, the characteristics of the novel HDSs and the classical hesitant distances are studied comparatively. Finally, the practicality and validity of the HDSs on HFSs are illustrated through an urban road traffic state identification example. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Engineering Applications of Artificial Intelligence is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.engappai.2017.02.004
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        Text: English
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      – SubjectFull: Fuzzy sets
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      – SubjectFull: Application software
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      – SubjectFull: Comparative studies
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      – SubjectFull: Algebra software
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              Text: May2017
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