Note on distance measure of hesitant fuzzy sets
Distance measure is an important tool for distinguishing the difference between two objects. To study the applications of hesitant fuzzy sets, several distance measures between hesitant fuzzy sets have been proposed. In this paper, we point out some drawbacks of the existing distance measures by cou...
Gespeichert in:
| Veröffentlicht in: | Information sciences 2015-11, Vol.321, p.103-115 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 115 |
|---|---|
| container_issue | |
| container_start_page | 103 |
| container_title | Information sciences |
| container_volume | 321 |
| creator | Li, Deqing Zeng, Wenyi Zhao, Yibin |
| description | Distance measure is an important tool for distinguishing the difference between two objects. To study the applications of hesitant fuzzy sets, several distance measures between hesitant fuzzy sets have been proposed. In this paper, we point out some drawbacks of the existing distance measures by counterexamples. Furthermore, we introduce the concept of hesitance degree of hesitant fuzzy element to describe the decision maker’s hesitance in decision making process, and present some new distance measures between hesitant fuzzy sets which contain the hesitance degrees of hesitant fuzzy elements to overcome such drawbacks. Finally, a numerical example is provided to compare the proposed distance measures with the existing distance measures. The results illustrate the validity and applicability of our proposed distance measures. |
| doi_str_mv | 10.1016/j.ins.2015.03.076 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1718962981</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0020025515004053</els_id><sourcerecordid>1718962981</sourcerecordid><originalsourceid>FETCH-LOGICAL-c330t-f3859486cb3c6275eb18981a9549b6ea5ebffa269b6d6718a774fb66730988733</originalsourceid><addsrcrecordid>eNp9kDFPwzAQhT2ARCn8ALaMLEnPcWInYkIVUKQKFpgtxzkLV21SfA5S--txVWam0z2996T3MXbHoeDA5WJT-IGKEnhdgChAyQs2Ayghh7Kur9g10QYAKiXljC3exojZOGS9p2gGi9kODU0haS77QvJJjJmbjsdDRhjphl06syW8_btz9vn89LFc5ev3l9fl4zq3QkDMnWjqtmqk7YSVpaqx403bcNPWVdtJNElwzpQyPb1UvDFKVa6TUglom0YJMWf35959GL8npKh3nixut2bAcSLNU6iVZepMVn622jASBXR6H_zOhIPmoE9A9EYnIPoERIPQCUjKPJwzmDb8eAyarMc0v_cBbdT96P9J_wJfNGla</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1718962981</pqid></control><display><type>article</type><title>Note on distance measure of hesitant fuzzy sets</title><source>Elsevier ScienceDirect Journals</source><creator>Li, Deqing ; Zeng, Wenyi ; Zhao, Yibin</creator><creatorcontrib>Li, Deqing ; Zeng, Wenyi ; Zhao, Yibin</creatorcontrib><description>Distance measure is an important tool for distinguishing the difference between two objects. To study the applications of hesitant fuzzy sets, several distance measures between hesitant fuzzy sets have been proposed. In this paper, we point out some drawbacks of the existing distance measures by counterexamples. Furthermore, we introduce the concept of hesitance degree of hesitant fuzzy element to describe the decision maker’s hesitance in decision making process, and present some new distance measures between hesitant fuzzy sets which contain the hesitance degrees of hesitant fuzzy elements to overcome such drawbacks. Finally, a numerical example is provided to compare the proposed distance measures with the existing distance measures. The results illustrate the validity and applicability of our proposed distance measures.</description><identifier>ISSN: 0020-0255</identifier><identifier>DOI: 10.1016/j.ins.2015.03.076</identifier><language>eng</language><publisher>Elsevier Inc</publisher><subject>Decision making ; Distance measure ; Extending HFEs uniformly ; Fuzzy ; Fuzzy logic ; Fuzzy set theory ; Hesitance degree ; Hesitant fuzzy elements ; Hesitant fuzzy sets ; Mathematical models</subject><ispartof>Information sciences, 2015-11, Vol.321, p.103-115</ispartof><rights>2015 Elsevier Inc.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c330t-f3859486cb3c6275eb18981a9549b6ea5ebffa269b6d6718a774fb66730988733</citedby><cites>FETCH-LOGICAL-c330t-f3859486cb3c6275eb18981a9549b6ea5ebffa269b6d6718a774fb66730988733</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0020025515004053$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Li, Deqing</creatorcontrib><creatorcontrib>Zeng, Wenyi</creatorcontrib><creatorcontrib>Zhao, Yibin</creatorcontrib><title>Note on distance measure of hesitant fuzzy sets</title><title>Information sciences</title><description>Distance measure is an important tool for distinguishing the difference between two objects. To study the applications of hesitant fuzzy sets, several distance measures between hesitant fuzzy sets have been proposed. In this paper, we point out some drawbacks of the existing distance measures by counterexamples. Furthermore, we introduce the concept of hesitance degree of hesitant fuzzy element to describe the decision maker’s hesitance in decision making process, and present some new distance measures between hesitant fuzzy sets which contain the hesitance degrees of hesitant fuzzy elements to overcome such drawbacks. Finally, a numerical example is provided to compare the proposed distance measures with the existing distance measures. The results illustrate the validity and applicability of our proposed distance measures.</description><subject>Decision making</subject><subject>Distance measure</subject><subject>Extending HFEs uniformly</subject><subject>Fuzzy</subject><subject>Fuzzy logic</subject><subject>Fuzzy set theory</subject><subject>Hesitance degree</subject><subject>Hesitant fuzzy elements</subject><subject>Hesitant fuzzy sets</subject><subject>Mathematical models</subject><issn>0020-0255</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9kDFPwzAQhT2ARCn8ALaMLEnPcWInYkIVUKQKFpgtxzkLV21SfA5S--txVWam0z2996T3MXbHoeDA5WJT-IGKEnhdgChAyQs2Ayghh7Kur9g10QYAKiXljC3exojZOGS9p2gGi9kODU0haS77QvJJjJmbjsdDRhjphl06syW8_btz9vn89LFc5ev3l9fl4zq3QkDMnWjqtmqk7YSVpaqx403bcNPWVdtJNElwzpQyPb1UvDFKVa6TUglom0YJMWf35959GL8npKh3nixut2bAcSLNU6iVZepMVn622jASBXR6H_zOhIPmoE9A9EYnIPoERIPQCUjKPJwzmDb8eAyarMc0v_cBbdT96P9J_wJfNGla</recordid><startdate>20151110</startdate><enddate>20151110</enddate><creator>Li, Deqing</creator><creator>Zeng, Wenyi</creator><creator>Zhao, Yibin</creator><general>Elsevier Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20151110</creationdate><title>Note on distance measure of hesitant fuzzy sets</title><author>Li, Deqing ; Zeng, Wenyi ; Zhao, Yibin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c330t-f3859486cb3c6275eb18981a9549b6ea5ebffa269b6d6718a774fb66730988733</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Decision making</topic><topic>Distance measure</topic><topic>Extending HFEs uniformly</topic><topic>Fuzzy</topic><topic>Fuzzy logic</topic><topic>Fuzzy set theory</topic><topic>Hesitance degree</topic><topic>Hesitant fuzzy elements</topic><topic>Hesitant fuzzy sets</topic><topic>Mathematical models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Deqing</creatorcontrib><creatorcontrib>Zeng, Wenyi</creatorcontrib><creatorcontrib>Zhao, Yibin</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Information sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Deqing</au><au>Zeng, Wenyi</au><au>Zhao, Yibin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Note on distance measure of hesitant fuzzy sets</atitle><jtitle>Information sciences</jtitle><date>2015-11-10</date><risdate>2015</risdate><volume>321</volume><spage>103</spage><epage>115</epage><pages>103-115</pages><issn>0020-0255</issn><abstract>Distance measure is an important tool for distinguishing the difference between two objects. To study the applications of hesitant fuzzy sets, several distance measures between hesitant fuzzy sets have been proposed. In this paper, we point out some drawbacks of the existing distance measures by counterexamples. Furthermore, we introduce the concept of hesitance degree of hesitant fuzzy element to describe the decision maker’s hesitance in decision making process, and present some new distance measures between hesitant fuzzy sets which contain the hesitance degrees of hesitant fuzzy elements to overcome such drawbacks. Finally, a numerical example is provided to compare the proposed distance measures with the existing distance measures. The results illustrate the validity and applicability of our proposed distance measures.</abstract><pub>Elsevier Inc</pub><doi>10.1016/j.ins.2015.03.076</doi><tpages>13</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0020-0255 |
| ispartof | Information sciences, 2015-11, Vol.321, p.103-115 |
| issn | 0020-0255 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1718962981 |
| source | Elsevier ScienceDirect Journals |
| subjects | Decision making Distance measure Extending HFEs uniformly Fuzzy Fuzzy logic Fuzzy set theory Hesitance degree Hesitant fuzzy elements Hesitant fuzzy sets Mathematical models |
| title | Note on distance measure of hesitant fuzzy sets |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-29T01%3A17%3A20IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Note%20on%20distance%20measure%20of%20hesitant%20fuzzy%20sets&rft.jtitle=Information%20sciences&rft.au=Li,%20Deqing&rft.date=2015-11-10&rft.volume=321&rft.spage=103&rft.epage=115&rft.pages=103-115&rft.issn=0020-0255&rft_id=info:doi/10.1016/j.ins.2015.03.076&rft_dat=%3Cproquest_cross%3E1718962981%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1718962981&rft_id=info:pmid/&rft_els_id=S0020025515004053&rfr_iscdi=true |