{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:18:32Z","timestamp":1777702712563,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"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":[[2014,7]]},"abstract":"<jats:p>The fuzzy mathematical morphology extends the binary morphological operators to gray-scale and coloured images using concepts of fuzzy logic. To define the morphological operators of fuzzy erosion and dilatation it is used the implications and conjunctions respectively. This work presents an analysis of some R-implications to verify if the pairs of implications and T-norms (conjunctions) were adjunctions. It was used a fuzzy application developed in the Matlab for implementation and tests with the respectively results.<\/jats:p>","DOI":"10.3233\/ifs-130989","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T18:41:29Z","timestamp":1575312089000},"page":"201-209","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Analysing some R-Implications and its application in fuzzy mathematical morphology"],"prefix":"10.1177","volume":"27","author":[{"given":"Alexsandra Oliveira","family":"Andrade","sequence":"first","affiliation":[{"name":"Department of Computer Engineering and Automation, UFRN, Natal, RN, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Roque Mendes Prado","family":"Trindade","sequence":"additional","affiliation":[{"name":"Department of Exact Science and Technology, UESB, Vit\u00f3ria da Conquista, BA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Deise Santana","family":"Maia","sequence":"additional","affiliation":[{"name":"Department of Exact Science and Technology, UESB, Vit\u00f3ria da Conquista, BA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Regivan Hugo Nunes","family":"Santiago","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Applied Mathematics, UFRN, Natal, RN, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ana Maria Guimar\u00e3es","family":"Guerreiro","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, UFRN, Natal, RN, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2014,1]]},"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-130989","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-130989","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:36:44Z","timestamp":1777455404000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-130989"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2014,7]]}},"alternative-id":["10.3233\/IFS-130989"],"URL":"https:\/\/doi.org\/10.3233\/ifs-130989","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,1]]}}}