{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T13:51:54Z","timestamp":1770817914660,"version":"3.50.1"},"reference-count":0,"publisher":"SAGE Publications","issue":"6","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":[[2014,6]]},"abstract":"<jats:p>Hypergraphs are considered a useful tool for modeling system architectures and data structures and to represent a partition, covering and clustering in the area of circuit design. In this paper, we introduce the notion of -hypergraphs and investigate some of their properties. For each -structure defined, we use cut-level sets to define an associated sequence of crisp structures. We determine what properties of the sequence of crisp structures characterize a given property of the -structure. We also describe an example application of -hypergraphs.<\/jats:p>","DOI":"10.3233\/ifs-130959","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T18:36:30Z","timestamp":1575311790000},"page":"2937-2944","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["On ${\\mathcal N}$-hypergraphs"],"prefix":"10.1177","volume":"26","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[{"name":"Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan"}]},{"given":"Wenjuan","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Jinan, Jinan, Shandong, P.R. China"}]},{"given":"Bijan","family":"Davvaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yazd University, Yazd, Iran"}]}],"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-130959","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-130959","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T12:59:22Z","timestamp":1770814762000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-130959"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1]]},"references-count":0,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2014,6]]}},"alternative-id":["10.3233\/IFS-130959"],"URL":"https:\/\/doi.org\/10.3233\/ifs-130959","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,1]]}}}