{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T00:02:11Z","timestamp":1723075331841},"reference-count":0,"publisher":"Wiley","issue":"14","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002383","name":"King Saud University","doi-asserted-by":"publisher","award":["MATH\/1423\/07(2003\/07)"],"award-info":[{"award-number":["MATH\/1423\/07(2003\/07)"]}],"id":[{"id":"10.13039\/501100002383","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>We generalize min\u2010neighborhood groups to arbitrary\n<jats:italic>T<\/jats:italic>\u2010neighborhood groups, where <jats:italic>T<\/jats:italic> is a continuous triangular\nnorm. In particular, we point out that our results accommodate\nthe previous theory on min\u2010neighborhood groups due to T. M. G.\nAhsanullah. We show that every <jats:italic>T<\/jats:italic>\u2010neighborhood group is\n<jats:italic>T<\/jats:italic>\u2010uniformizable, therefore, <jats:italic>T<\/jats:italic>\u2010completely regular. We also\npresent several results of <jats:italic>T<\/jats:italic>\u2010neighborhood groups in conjunction\nwith <jats:italic>T<\/jats:italic><jats:italic>I<\/jats:italic>\u2010groups due to  J. N. Mordeson.<\/jats:p>","DOI":"10.1155\/s0161171204307052","type":"journal-article","created":{"date-parts":[[2004,3,29]],"date-time":"2004-03-29T06:38:40Z","timestamp":1080542320000},"page":"703-719","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["<i>T<\/i>\u2010neighborhood groups"],"prefix":"10.1155","volume":"2004","author":[{"given":"T. M. G.","family":"Ahsanullah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fawzi","family":"Al-Thukair","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2004,3,28]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/423543.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204307052","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T20:01:59Z","timestamp":1723060919000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204307052"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"14","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204307052"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204307052","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2003-07-08","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-03-28","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}