Interval type-2 fuzzy systems on the basis of vague partitions and their approximation properties
This article mainly focuses on simplifying the structure of interval type-2 (IT2) fuzzy system and studying its approximation properties. First of all, we construct the interval type-2 vague partitions (IT2-VPs) on input universe by overlap functions and vague partition of each attribute, and their...
Gespeichert in:
| Veröffentlicht in: | Computational & applied mathematics 2024-04, Vol.43 (3), Article 119 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 3 |
| container_start_page | |
| container_title | Computational & applied mathematics |
| container_volume | 43 |
| creator | Peng, Xiaoyu Pan, Xiaodong |
| description | This article mainly focuses on simplifying the structure of interval type-2 (IT2) fuzzy system and studying its approximation properties. First of all, we construct the interval type-2 vague partitions (IT2-VPs) on input universe by overlap functions and vague partition of each attribute, and their properties are characterized. On the basis of these, we give the model of IT2 fuzzy system based on IT2-VPs, which mainly consists of the fuzzy rule base and center-of-sets type-reduction (TR). Next, we investigate its universal approximation property and approximation accuracy by error remainder term and auxiliary function method in numerical analysis. Finally, two comparative experiments indicate that the approximation performance of the proposed IT2 fuzzy systems can achieve better than the typical type-1 (T1) and IT2 fuzzy systems. |
| doi_str_mv | 10.1007/s40314-024-02629-2 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2968913931</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2968913931</sourcerecordid><originalsourceid>FETCH-LOGICAL-c270t-f0c4dba5ff30cd7ae29b9a7344a9cf01b2ab26d995098efd239e1e6dcbd387f3</originalsourceid><addsrcrecordid>eNp9kMFOwzAMhiMEEmPwApwicQ44Ttc2RzQBmzSJy-5R2iaj09aWJJ3onp6UInHjYNmWv9-2fkLuOTxygOzJJyB4wgDHSFEyvCAznkPGQABekhmiyJlIQVyTG-_3ACLjSTIjet0E4076QMPQGYbU9ufzQP3ggzl62jY0fBhaaF_HxtKT3vWGdtqFOtRt46luqpGoHdVd59qv-qjHAY11ZyJl_C25svrgzd1vnpPt68t2uWKb97f18nnDSswgMAtlUhV6Ya2Assq0QVlInYkk0bK0wAvUBaaVlAuQubEVCmm4SauyqESeWTEnD9PaePmzNz6ofdu7Jl5UKNNcciEFjxROVOla752xqnPxZTcoDmp0Uk1Oquik-nFSYRSJSeQj3OyM-1v9j-obQB94zA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2968913931</pqid></control><display><type>article</type><title>Interval type-2 fuzzy systems on the basis of vague partitions and their approximation properties</title><source>SpringerLink (Online service)</source><creator>Peng, Xiaoyu ; Pan, Xiaodong</creator><creatorcontrib>Peng, Xiaoyu ; Pan, Xiaodong</creatorcontrib><description>This article mainly focuses on simplifying the structure of interval type-2 (IT2) fuzzy system and studying its approximation properties. First of all, we construct the interval type-2 vague partitions (IT2-VPs) on input universe by overlap functions and vague partition of each attribute, and their properties are characterized. On the basis of these, we give the model of IT2 fuzzy system based on IT2-VPs, which mainly consists of the fuzzy rule base and center-of-sets type-reduction (TR). Next, we investigate its universal approximation property and approximation accuracy by error remainder term and auxiliary function method in numerical analysis. Finally, two comparative experiments indicate that the approximation performance of the proposed IT2 fuzzy systems can achieve better than the typical type-1 (T1) and IT2 fuzzy systems.</description><identifier>ISSN: 2238-3603</identifier><identifier>EISSN: 1807-0302</identifier><identifier>DOI: 10.1007/s40314-024-02629-2</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Applications of Mathematics ; Approximation ; Computational Mathematics and Numerical Analysis ; Fuzzy systems ; Mathematical analysis ; Mathematical Applications in Computer Science ; Mathematical Applications in the Physical Sciences ; Mathematics ; Mathematics and Statistics ; Numerical analysis</subject><ispartof>Computational & applied mathematics, 2024-04, Vol.43 (3), Article 119</ispartof><rights>The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-f0c4dba5ff30cd7ae29b9a7344a9cf01b2ab26d995098efd239e1e6dcbd387f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40314-024-02629-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s40314-024-02629-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Peng, Xiaoyu</creatorcontrib><creatorcontrib>Pan, Xiaodong</creatorcontrib><title>Interval type-2 fuzzy systems on the basis of vague partitions and their approximation properties</title><title>Computational & applied mathematics</title><addtitle>Comp. Appl. Math</addtitle><description>This article mainly focuses on simplifying the structure of interval type-2 (IT2) fuzzy system and studying its approximation properties. First of all, we construct the interval type-2 vague partitions (IT2-VPs) on input universe by overlap functions and vague partition of each attribute, and their properties are characterized. On the basis of these, we give the model of IT2 fuzzy system based on IT2-VPs, which mainly consists of the fuzzy rule base and center-of-sets type-reduction (TR). Next, we investigate its universal approximation property and approximation accuracy by error remainder term and auxiliary function method in numerical analysis. Finally, two comparative experiments indicate that the approximation performance of the proposed IT2 fuzzy systems can achieve better than the typical type-1 (T1) and IT2 fuzzy systems.</description><subject>Applications of Mathematics</subject><subject>Approximation</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Fuzzy systems</subject><subject>Mathematical analysis</subject><subject>Mathematical Applications in Computer Science</subject><subject>Mathematical Applications in the Physical Sciences</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Numerical analysis</subject><issn>2238-3603</issn><issn>1807-0302</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kMFOwzAMhiMEEmPwApwicQ44Ttc2RzQBmzSJy-5R2iaj09aWJJ3onp6UInHjYNmWv9-2fkLuOTxygOzJJyB4wgDHSFEyvCAznkPGQABekhmiyJlIQVyTG-_3ACLjSTIjet0E4076QMPQGYbU9ufzQP3ggzl62jY0fBhaaF_HxtKT3vWGdtqFOtRt46luqpGoHdVd59qv-qjHAY11ZyJl_C25svrgzd1vnpPt68t2uWKb97f18nnDSswgMAtlUhV6Ya2Assq0QVlInYkk0bK0wAvUBaaVlAuQubEVCmm4SauyqESeWTEnD9PaePmzNz6ofdu7Jl5UKNNcciEFjxROVOla752xqnPxZTcoDmp0Uk1Oquik-nFSYRSJSeQj3OyM-1v9j-obQB94zA</recordid><startdate>20240401</startdate><enddate>20240401</enddate><creator>Peng, Xiaoyu</creator><creator>Pan, Xiaodong</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20240401</creationdate><title>Interval type-2 fuzzy systems on the basis of vague partitions and their approximation properties</title><author>Peng, Xiaoyu ; Pan, Xiaodong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-f0c4dba5ff30cd7ae29b9a7344a9cf01b2ab26d995098efd239e1e6dcbd387f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Applications of Mathematics</topic><topic>Approximation</topic><topic>Computational Mathematics and Numerical Analysis</topic><topic>Fuzzy systems</topic><topic>Mathematical analysis</topic><topic>Mathematical Applications in Computer Science</topic><topic>Mathematical Applications in the Physical Sciences</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Numerical analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Peng, Xiaoyu</creatorcontrib><creatorcontrib>Pan, Xiaodong</creatorcontrib><collection>CrossRef</collection><jtitle>Computational & applied mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Peng, Xiaoyu</au><au>Pan, Xiaodong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Interval type-2 fuzzy systems on the basis of vague partitions and their approximation properties</atitle><jtitle>Computational & applied mathematics</jtitle><stitle>Comp. Appl. Math</stitle><date>2024-04-01</date><risdate>2024</risdate><volume>43</volume><issue>3</issue><artnum>119</artnum><issn>2238-3603</issn><eissn>1807-0302</eissn><abstract>This article mainly focuses on simplifying the structure of interval type-2 (IT2) fuzzy system and studying its approximation properties. First of all, we construct the interval type-2 vague partitions (IT2-VPs) on input universe by overlap functions and vague partition of each attribute, and their properties are characterized. On the basis of these, we give the model of IT2 fuzzy system based on IT2-VPs, which mainly consists of the fuzzy rule base and center-of-sets type-reduction (TR). Next, we investigate its universal approximation property and approximation accuracy by error remainder term and auxiliary function method in numerical analysis. Finally, two comparative experiments indicate that the approximation performance of the proposed IT2 fuzzy systems can achieve better than the typical type-1 (T1) and IT2 fuzzy systems.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s40314-024-02629-2</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2238-3603 |
| ispartof | Computational & applied mathematics, 2024-04, Vol.43 (3), Article 119 |
| issn | 2238-3603 1807-0302 |
| language | eng |
| recordid | cdi_proquest_journals_2968913931 |
| source | SpringerLink (Online service) |
| subjects | Applications of Mathematics Approximation Computational Mathematics and Numerical Analysis Fuzzy systems Mathematical analysis Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics Numerical analysis |
| title | Interval type-2 fuzzy systems on the basis of vague partitions and their approximation properties |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T14%3A06%3A39IST&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=Interval%20type-2%20fuzzy%20systems%20on%20the%20basis%20of%20vague%20partitions%20and%20their%20approximation%20properties&rft.jtitle=Computational%20&%20applied%20mathematics&rft.au=Peng,%20Xiaoyu&rft.date=2024-04-01&rft.volume=43&rft.issue=3&rft.artnum=119&rft.issn=2238-3603&rft.eissn=1807-0302&rft_id=info:doi/10.1007/s40314-024-02629-2&rft_dat=%3Cproquest_cross%3E2968913931%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=2968913931&rft_id=info:pmid/&rfr_iscdi=true |