{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:14:10Z","timestamp":1777702450501,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"4","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":[[2013,11]]},"abstract":"<jats:p>Based on the theory of falling shadows and fuzzy sets, the notion of falling fuzzy ideals of a hemiring is introduced. The relations between fuzzy ideals and falling fuzzy ideals are provided. Finally, we apply the concept of falling fuzzy inference relations to hemirings and obtain an important result.<\/jats:p>","DOI":"10.3233\/ifs-120707","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T17:53:51Z","timestamp":1575309231000},"page":"1037-1042","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Falling fuzzy ideals of hemirings"],"prefix":"10.1177","volume":"25","author":[{"given":"Bin","family":"Yu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianming","family":"Zhan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, P.R. China"}],"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-120707","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-120707","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:35:53Z","timestamp":1777455353000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-120707"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2013,11]]}},"alternative-id":["10.3233\/IFS-120707"],"URL":"https:\/\/doi.org\/10.3233\/ifs-120707","relation":{"is-cited-by":[{"id-type":"doi","id":"10.1155\/2013\/716435","asserted-by":"object"}]},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1]]}}}