{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:13:22Z","timestamp":1777702402565,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2013,9]]},"abstract":"<jats:p>In this paper, we introduce the concept of (r,s)-fuzzy minimal structure which is an extension of intuitionistic gradation of openness introduced by Samanta and Mondal (2002). Also, we introduce and study the concepts of (r,s)-fuzzy M continuity and several types of (r,s)-fuzzy minimal compactness on (r,s)-fuzzy minimal spaces.<\/jats:p>","DOI":"10.3233\/ifs-120669","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T17:53:09Z","timestamp":1575309189000},"page":"627-633","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["(r,s)-fuzzy minimal structures and (r,s)-fuzzy minimal spaces"],"prefix":"10.1177","volume":"25","author":[{"given":"S.E.","family":"Abbas","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, South Valley University, Sohag, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"W.K.","family":"Min","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kangwon National University, Chuncheon, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2013,1]]},"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-120669","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-120669","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:35:46Z","timestamp":1777455346000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-120669"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,9]]}},"alternative-id":["10.3233\/IFS-120669"],"URL":"https:\/\/doi.org\/10.3233\/ifs-120669","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1]]}}}