{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:21:44Z","timestamp":1753888904401,"version":"3.41.2"},"reference-count":16,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,8,7]],"date-time":"2006-08-07T00:00:00Z","timestamp":1154908800000},"content-version":"vor","delay-in-days":218,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2006,1]]},"abstract":"<jats:p>The aim of this paper is to study weakly induced <jats:italic>I<\/jats:italic>\u2010fuzzy topological spaces and weakly induced modifications of <jats:italic>I<\/jats:italic>\u2010fuzzy topologies. We give two kinds of weakly induced <jats:italic>I<\/jats:italic>\u2010fuzzy topologies for each <jats:italic>I<\/jats:italic>\u2010fuzzy topology and prove that <jats:italic>I<\/jats:italic>\u2010WIFTOP is a reflective and coreflective full subcategory of <jats:italic>I<\/jats:italic>\u2010FTOP. We also discuss some relationships between several categories.<\/jats:p>","DOI":"10.1155\/ijmms\/2006\/71654","type":"journal-article","created":{"date-parts":[[2006,9,28]],"date-time":"2006-09-28T07:25:22Z","timestamp":1159428322000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Weakly induced modifications of <i>I<\/i>\u2010fuzzy topologies"],"prefix":"10.1155","volume":"2006","author":[{"given":"Yueli","family":"Yue","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinming","family":"Fang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,8,7]]},"reference":[{"unstructured":"Ad\u00e1mek Herrlich andStreckerG. E. Abstract and Concrete Categories 1990 John Wiley & Sons New York Pure and Applied Mathematics (New York).","key":"e_1_2_1_1_2"},{"doi-asserted-by":"publisher","key":"e_1_2_1_2_2","DOI":"10.1016\/0022\u2010247X(68)90057\u20107"},{"key":"e_1_2_1_3_2","first-page":"89","article-title":"Base and subbase in I-fuzzy topological spaces","volume":"26","author":"Fang","year":"2006","journal-title":"Journal of Mathematical Research and Exposition"},{"doi-asserted-by":"publisher","key":"e_1_2_1_4_2","DOI":"10.1016\/0022-247X(80)90173-0"},{"doi-asserted-by":"publisher","key":"e_1_2_1_5_2","DOI":"10.1007\/978-1-4615-5079-2_5"},{"doi-asserted-by":"publisher","key":"e_1_2_1_6_2","DOI":"10.1007\/978-94-011-2616-8_12"},{"unstructured":"LiuandLuo Fuzzy Topology 1997 World Scientific New Jersey 9 Advances in Fuzzy Systems\u2014Applications and Theory.","key":"e_1_2_1_7_2"},{"doi-asserted-by":"publisher","key":"e_1_2_1_8_2","DOI":"10.1007\/978-1-4615-5079-2_6"},{"doi-asserted-by":"publisher","key":"e_1_2_1_9_2","DOI":"10.1007\/978-1-4615-5079-2_3"},{"key":"e_1_2_1_10_2","first-page":"89","article-title":"On a fuzzy topological structure","author":"\u0160ostak A. P.","year":"1985","journal-title":"Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento"},{"doi-asserted-by":"publisher","key":"e_1_2_1_11_2","DOI":"10.1016\/0165\u20100114(90)90020\u20107"},{"doi-asserted-by":"publisher","key":"e_1_2_1_12_2","DOI":"10.1016\/0165\u20100114(91)90100\u20105"},{"doi-asserted-by":"publisher","key":"e_1_2_1_13_2","DOI":"10.1016\/0165\u20100114(93)90132\u20102"},{"doi-asserted-by":"publisher","key":"e_1_2_1_14_2","DOI":"10.1016\/j.fss.2005.03.003"},{"doi-asserted-by":"publisher","key":"e_1_2_1_15_2","DOI":"10.1016\/S0165\u20100114(00)00126\u20103"},{"key":"e_1_2_1_16_2","first-page":"68","article-title":"Weakly induced modifications of L-fuzzy topological spaces","volume":"36","author":"Zhang","year":"1993","journal-title":"Acta Mathematica Sinica"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2006\/071654.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/IJMMS\/2006\/71654","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,6]],"date-time":"2024-06-06T21:14:14Z","timestamp":1717708454000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/IJMMS\/2006\/71654"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1155\/IJMMS\/2006\/71654"],"URL":"https:\/\/doi.org\/10.1155\/ijmms\/2006\/71654","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2006,1]]},"assertion":[{"value":"2006-08-07","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"071654"}}