{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:09:23Z","timestamp":1777702163241,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"4-5","license":[{"start":{"date-parts":[[2009,8,1]],"date-time":"2009-08-01T00:00:00Z","timestamp":1249084800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2009,8]]},"abstract":"<jats:p>This paper concerns a relationship between fuzzy sets and algebraic hyperstructures. It is a continuation of ideas presented by Davvaz(Fuzy Sets Syst. 101: 191.195 1999) and Bhakat and Das(Fuzzy Sets Syst. 80: 359.368 1996). The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set, which is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set, is introduced. Using this new idea, the notion of interval valued (\u03b1, \u03b2)-fuzzy sub-hyperquasigroups in a hyperquasigroup, which is a generalization of a fuzzy sub-quasigroup, is defined, and related properties are investigated. In particular, the study of interval valued (\u2208, \u2208, \u2228q)-fuzzy sub-hyperquasigroups in a hyperquasigroup is dealt with. Finally, we consider the concept of implication-based interval valued fuzzy sub-hyperquasigroups in a hyperquasigroup.<\/jats:p>","DOI":"10.3233\/ifs-2009-0423","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T17:40:10Z","timestamp":1575308410000},"page":"147-157","source":"Crossref","is-referenced-by-count":10,"title":["A new view of fuzzy hyperquasigroups"],"prefix":"10.1177","volume":"20","author":[{"given":"J.","family":"Zhan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province, 445000, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"Davvaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yazd University, Yazd, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.P.","family":"Shum","sequence":"additional","affiliation":[{"name":"Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, China (SAR)"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2009,8]]},"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-2009-0423","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-2009-0423","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:35:04Z","timestamp":1777455304000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-2009-0423"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,8]]},"references-count":0,"journal-issue":{"issue":"4-5","published-print":{"date-parts":[[2009,8]]}},"alternative-id":["10.3233\/IFS-2009-0423"],"URL":"https:\/\/doi.org\/10.3233\/ifs-2009-0423","relation":{"is-cited-by":[{"id-type":"doi","id":"10.1155\/2018\/5304514","asserted-by":"object"}]},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,8]]}}}