{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:56:50Z","timestamp":1754157410831,"version":"3.41.2"},"reference-count":25,"publisher":"Emerald","issue":"6","license":[{"start":{"date-parts":[[2009,6,12]],"date-time":"2009-06-12T00:00:00Z","timestamp":1244764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,6,12]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>Recently, F. Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs) and also defined various notions of neutrosophic topologies on the non\u2010standard interval. One can expect some relation between the intuitionistic fuzzy topology (IFT) on an IFS and neutrosophic topologies on the non\u2010standard interval. The purpose of this paper is to show that this is false.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>The possible relations between the intuitionistic fuzzzy topology and neutrosophic topologies are studied.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>Relations on IFT and neutrosophic topologies.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Research limitations\/implications<\/jats:title><jats:p>Clearly, the paper is confined to IFSs and NSs.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>The main applications are in the mathematical field.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The paper shows original results on fuzzy sets and topology.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920910973207","type":"journal-article","created":{"date-parts":[[2009,7,4]],"date-time":"2009-07-04T07:04:08Z","timestamp":1246691048000},"page":"1005-1009","source":"Crossref","is-referenced-by-count":2,"title":["On various neutrosophic topologies"],"prefix":"10.1108","volume":"38","author":[{"given":"Francisco","family":"Gallego Lupi\u00e1\u00f1ez","sequence":"first","affiliation":[]}],"member":"140","reference":[{"key":"key2022012219431429100_b1","unstructured":"Atanassov, K.T. (1983), \u201cIntuitionistic fuzzy sets\u201d, paper presented at the VII ITKR's Session, Sofia, June."},{"key":"key2022012219431429100_b3","doi-asserted-by":"crossref","unstructured":"Atanassov, K.T. (1988), \u201cReview and new results on intuitionistic fuzzy sets\u201d, preprint IM\u2010MFAIS\u20101\u201088, Sofia.","DOI":"10.1016\/0165-0114(89)90215-7"},{"key":"key2022012219431429100_b4","unstructured":"Bayhan, S. and \u00c7oker, D. (2003), \u201cOn T1 and T2 separation axioms in intuitionistic fuzy topological spaces\u201d, J. Fuzzy Math., Vol. 11, pp. 581\u201092."},{"key":"key2022012219431429100_b5","unstructured":"\u00c7oker, D. (1996), \u201cAn introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces\u201d, J. Fuzzy Math., Vol. 4, pp. 749\u201064."},{"key":"key2022012219431429100_b6","doi-asserted-by":"crossref","unstructured":"\u00c7oker, D. (1997), \u201cAn introduction to intuitionistic fuzzy topological spaces\u201d, Fuzzy Sets and Systems, Vol. 88, pp. 81\u20109.","DOI":"10.1016\/S0165-0114(96)00076-0"},{"key":"key2022012219431429100_b7","unstructured":"\u00c7oker, D. and E\u015f, A.H. (1995), \u201cOn fuzzy compactness in intuitionistic fuzzy topological spaces\u201d, J. Fuzzy Math., Vol. 3, pp. 899\u2010909."},{"key":"key2022012219431429100_b8","unstructured":"E\u015f, A.H. and \u00c7oker, D. (1996), \u201cMore on fuzzy compactness in intuitionistic fuzzy topological spaces\u201d, Notes IFS, Vol. 2 No. 1, pp. 4\u201010."},{"key":"key2022012219431429100_b9","unstructured":"G\u00fcr\u00e7ay, H., \u00c7oker, D. and E\u015f, A.H. (1997), \u201cOn fuzzy continuity in intuitionistic fuzzy topological spaces\u201d, J. Fuzzy Math., Vol. 5, pp. 365\u201078."},{"key":"key2022012219431429100_b10","doi-asserted-by":"crossref","unstructured":"Hanafy, J.H. 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