{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T13:57:10Z","timestamp":1770818230683,"version":"3.50.1"},"reference-count":0,"publisher":"SAGE Publications","issue":"2","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":[[2014,2]]},"abstract":"<jats:p>Hypergraphs are among the most ubiquitous models of both natural and human-made structures. They can be used to model 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 notions of vague hypergraphs and dual vague hypergraphs and present some of their interesting properties. We also introduce the notion of A-tempered vague hypergraphs and investigate some of their properties.<\/jats:p>","DOI":"10.3233\/ifs-120756","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T17:56:31Z","timestamp":1575309391000},"page":"647-653","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":36,"title":["Vague 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, Old Campus, Lahore, Pakistan"}]},{"given":"A. Nagoor","family":"Gani","sequence":"additional","affiliation":[{"name":"PG and Research Department of Mathematics, Jamal Mohamed College (autonomous) Tiruchirappalli, Tamilnadu, India"}]},{"given":"A. Borumand","family":"Saeid","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, 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-120756","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-120756","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T12:18:25Z","timestamp":1770812305000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-120756"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2014,2]]}},"alternative-id":["10.3233\/IFS-120756"],"URL":"https:\/\/doi.org\/10.3233\/ifs-120756","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,1]]}}}