{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T15:15:20Z","timestamp":1648739720918},"reference-count":7,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Fuzzy Systems"],"published-print":{"date-parts":[[2011]]},"abstract":"<jats:p>A new class of generalized fuzzy open sets in fuzzy topological space, called fuzzy<jats:italic>sp<\/jats:italic>-open sets, are introduced, and their properties are studied and the relationship between this new concept and other weaker forms of fuzzy open sets we discussed. Moreover, we introduce the fuzzy<jats:italic>sp<\/jats:italic>-continuous (resp., fuzzy<jats:italic>sp<\/jats:italic>-open) mapping and other stronger forms of<jats:italic>sp<\/jats:italic>-continuous (resp., fuzzy<jats:italic>sp<\/jats:italic>-open) mapping and establish their various characteristic properties. Finally, we study the relationships between all these mappings and other weaker forms of fuzzy continuous mapping and introduce fuzzy<jats:italic>sp<\/jats:italic>-connected. Counter examples are given to show the noncoincidence of these sets and mappings.<\/jats:p>","DOI":"10.1155\/2011\/768028","type":"journal-article","created":{"date-parts":[[2011,4,11]],"date-time":"2011-04-11T13:21:18Z","timestamp":1302528078000},"page":"1-5","source":"Crossref","is-referenced-by-count":1,"title":["On Fuzzy<i>Sp<\/i>-Open Sets"],"prefix":"10.1155","volume":"2011","author":[{"given":"Hakeem A.","family":"Othman","sequence":"first","affiliation":[{"name":"Department of Mathematics, Rada'a College of Education and Science, Albida, Yemen"},{"name":"Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"issue":"1-2","key":"3","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/BF00052199","volume":"71","year":"1996","journal-title":"Acta Mathematica Hungarica"},{"issue":"1","key":"4","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/0022-247X(84)90212-9","volume":"102","year":"1984","journal-title":"Journal of Mathematical Analysis and Applications"},{"issue":"2","key":"2","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/0165-0114(91)90013-G","volume":"44","year":"1991","journal-title":"Fuzzy Sets and Systems"},{"key":"8","first-page":"57","volume":"78","year":"1986","journal-title":"Bulletin of Calcutta Mathematical Society"},{"key":"7","first-page":"57","volume":"78","year":"1986","journal-title":"Bulletin of the Korean Mathematical Society"},{"issue":"1","key":"6","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/S0165-0114(98)00445-X","volume":"107","year":"1999","journal-title":"Fuzzy Sets and Systems"},{"key":"5","first-page":"111","volume":"50","year":"1998","journal-title":"Matemati\u010dki Vesnik"}],"container-title":["Advances in Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2011\/768028.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2011\/768028.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2011\/768028.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,19]],"date-time":"2017-06-19T22:23:19Z","timestamp":1497910999000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/afs\/2011\/768028\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"references-count":7,"alternative-id":["768028","768028"],"URL":"https:\/\/doi.org\/10.1155\/2011\/768028","relation":{},"ISSN":["1687-7101","1687-711X"],"issn-type":[{"value":"1687-7101","type":"print"},{"value":"1687-711X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011]]}}}