{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:35:57Z","timestamp":1753886157088,"version":"3.41.2"},"reference-count":9,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,8,21]],"date-time":"2006-08-21T00:00:00Z","timestamp":1156118400000},"content-version":"vor","delay-in-days":232,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001501","name":"University Grants Commission","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001501","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012034","name":"Karnatak University","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100012034","id-type":"DOI","asserted-by":"crossref"}]}],"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>J. M. Aarts introduced and studied a new dimension function,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tHind, in 1975 and  obtained several results on this function. In\nthis paper, a new local inductive dimension function called local\nhuge inductive dimension function denoted by locHind is introduced and studied. Furthermore, an effort is made to\nintroduce and study dimension functions for fuzzy topological\nspaces. It has been possible to introduce and study the small\ninductive dimension function indf<jats:italic>X<\/jats:italic> and large inductive\ndimension function indf<jats:italic>X<\/jats:italic> for a fuzzy topological space <jats:italic>X<\/jats:italic>.<\/jats:p>","DOI":"10.1155\/ijmms\/2006\/92870","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":1,"title":["Dimension theory and fuzzy topological spaces"],"prefix":"10.1155","volume":"2006","author":[{"given":"S. S.","family":"Benchalli","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B. M.","family":"Ittanagi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P. G.","family":"Patil","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,8,21]]},"reference":[{"key":"e_1_2_1_1_2","doi-asserted-by":"publisher","DOI":"10.2307\/2040579"},{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022\u2010247X(68)90057\u20107"},{"key":"e_1_2_1_3_2","first-page":"313","article-title":"On fuzzy topological spaces","volume":"16","author":"Malghan S. R.","year":"1981","journal-title":"Glasnik Matematicki. Serija III"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022\u2010247X(84)90222\u20101"},{"volume-title":"Dimension Theory of General Spaces","year":"1975","author":"Pears A. R.","key":"e_1_2_1_5_2"},{"key":"e_1_2_1_6_2","first-page":"433","article-title":"A class of infinite-dimensional spaces","volume":"79","author":"Va\u012dn\u0161te\u012dn A. I.","year":"1969","journal-title":"Matematicheskii Sbornik. Novaya Seriya"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.1977.26.26014"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022\u2010247X(75)90044\u2010X"},{"key":"e_1_2_1_9_2","first-page":"338","article-title":"Fuzzy sets","volume":"8","author":"Zadeh L. A.","year":"1965","journal-title":"Information and Computation"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2006\/092870.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/IJMMS\/2006\/92870","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,6]],"date-time":"2024-06-06T21:16:52Z","timestamp":1717708612000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/IJMMS\/2006\/92870"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1155\/IJMMS\/2006\/92870"],"URL":"https:\/\/doi.org\/10.1155\/ijmms\/2006\/92870","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":"2006-08-21","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"092870"}}