{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:44:33Z","timestamp":1740149073396,"version":"3.37.3"},"reference-count":18,"publisher":"Wiley","license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Fuzzy Systems"],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>A numerical method along with explicit construction to interpolation of fuzzy data through the extension principle results by widely used fuzzy-valued piecewise Hermite polynomial in general case based on the cardinal basis functions, which satisfy a vanishing property on the successive intervals, has been introduced here. We have provided a numerical method in full detail using the linear space notions for calculating the presented method. In order to illustrate the method in computational examples, we take recourse to three prime cases: linear, cubic, and quintic.<\/jats:p>","DOI":"10.1155\/2016\/8127215","type":"journal-article","created":{"date-parts":[[2016,12,29]],"date-time":"2016-12-29T21:10:38Z","timestamp":1483045838000},"page":"1-8","source":"Crossref","is-referenced-by-count":0,"title":["Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data"],"prefix":"10.1155","volume":"2016","author":[{"given":"H.","family":"Vosoughi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3385-4152","authenticated-orcid":true,"given":"S.","family":"Abbasbandy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"17","first-page":"338","volume":"8","year":"1965","journal-title":"Information and Computation"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(90)90124-o"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90285-2"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1080\/00207160512331331093"},{"issue":"4","key":"5","first-page":"383","volume":"60","year":"2010","journal-title":"International Journal of Pure and Applied Mathematics"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488508005078"},{"issue":"3","key":"3","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1007\/BF02941988","volume":"8","year":"2001","journal-title":"Korean Journal of Computational & Applied Mathematics"},{"issue":"2","key":"4","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1007\/BF03008929","volume":"5","year":"1998","journal-title":"The Korean Journal of Computational & Applied Mathematics"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(02)00139-2"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.3233\/ifs-130955"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.17485\/ijst\/2016\/v9i8\/80537"},{"year":"1975","key":"8"},{"year":"1966","key":"16"},{"key":"7","first-page":"397","volume":"9","year":"1967","journal-title":"Numerische Mathematik"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/BF02161845"},{"first-page":"365","volume-title":"Hermite interpolation-type Ritz methods for two-point boundary value problems","year":"1966","key":"14"},{"year":"1975","key":"13"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(78)90045-8"}],"container-title":["Advances in Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2016\/8127215.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2016\/8127215.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2016\/8127215.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,20]],"date-time":"2022-07-20T06:33:53Z","timestamp":1658298833000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/afs\/2016\/8127215\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"references-count":18,"alternative-id":["8127215","8127215"],"URL":"https:\/\/doi.org\/10.1155\/2016\/8127215","relation":{},"ISSN":["1687-7101","1687-711X"],"issn-type":[{"type":"print","value":"1687-7101"},{"type":"electronic","value":"1687-711X"}],"subject":[],"published":{"date-parts":[[2016]]}}}