{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T13:13:55Z","timestamp":1700572435797},"reference-count":10,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2010,1,15]],"date-time":"2010-01-15T00:00:00Z","timestamp":1263513600000},"content-version":"vor","delay-in-days":14,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper we define the hyper operations \u2297, \u2228 and \u2227 on a hyper <jats:italic>MV<\/jats:italic> \u2010algebra and we obtain some related results. After that by considering the notions ofhyper <jats:italic>MV<\/jats:italic> \u2010ideals and weak hyper <jats:italic>MV<\/jats:italic> \u2010ideals, we prove some theorems. Then we determine relationships between (weak) hyper <jats:italic>MV<\/jats:italic> \u2010ideals in a hyper <jats:italic>MV<\/jats:italic> \u2010algebra (<jats:italic>M<\/jats:italic>, \u2295, *, 0) and (weak) hyper <jats:italic>K<\/jats:italic> \u2010ideals in a hyper <jats:italic>K<\/jats:italic> \u2010algebra (<jats:italic>M<\/jats:italic>, \u00b0, 0). Finally we give a characterization of hyper <jats:italic>MV<\/jats:italic> \u2010algebras of order 3 or 4 based on the (weak) hyper <jats:italic>MV<\/jats:italic> \u2010ideals (\u00a9 2010 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200810035","type":"journal-article","created":{"date-parts":[[2010,1,15]],"date-time":"2010-01-15T18:25:41Z","timestamp":1263579941000},"page":"51-62","source":"Crossref","is-referenced-by-count":8,"title":["Hyper <i>MV<\/i> \u2010ideals in hyper <i>MV<\/i> \u2010algebras"],"prefix":"10.1002","volume":"56","author":[{"given":"Lida","family":"Torkzadeh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Afsaneh","family":"Ahadpanah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,1,15]]},"reference":[{"key":"e_1_2_1_2_2","first-page":"113","article-title":"On hyper K \u2010algebra","volume":"1","author":"Boorzooei R. A.","year":"2000","journal-title":"J. Math. Japonica"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","first-page":"476","DOI":"10.1090\/S0002-9947-1958-0094302-9","article-title":"Algebraic analysis ofmany valued logic","volume":"88","author":"Chang C. C.","year":"1958","journal-title":"Trans. Amer. Math. Soc."},{"key":"e_1_2_1_4_2","doi-asserted-by":"crossref","unstructured":"R. L. O.Cignoli I. M. L.Dottaviano andD.Mundici Algebraic Foundations of Many\u2010Valued Reasoning (Kluwer Academic Publishers 2000).","DOI":"10.1007\/978-94-015-9480-6"},{"key":"e_1_2_1_5_2","first-page":"205","article-title":"Hyper MV \u2010algebras","volume":"1","author":"Ghorbani Sh.","year":"2008","journal-title":"Set\u2010Valued Mathematics and Applications"},{"key":"e_1_2_1_6_2","first-page":"371","article-title":"Quotient hyper MV \u2010algebras","volume":"66","author":"Ghorbani Sh.","year":"2007","journal-title":"Scientiae Mathematicae Japonicae"},{"key":"e_1_2_1_7_2","first-page":"181","article-title":"Maximal and essential ideals of MV \u2010algebra","volume":"2","author":"Hoo C. S.","year":"1995","journal-title":"Mathware and Soft Computing"},{"key":"e_1_2_1_8_2","doi-asserted-by":"crossref","unstructured":"Y.Imai andK.Iseki On axiom systems ofpropositional calculi. In: XIV Proc. Japan Academy4 pp. 19\u201322 (1966).","DOI":"10.3792\/pja\/1195522169"},{"key":"e_1_2_1_9_2","first-page":"155","article-title":"Groupoides demi groupes et hypergroupes","volume":"49","author":"Koskas M.","year":"1970","journal-title":"J. Math."},{"key":"e_1_2_1_10_2","unstructured":"F.Marty Sur une generalization de la notion de groups. In: 8th Congress Math. Scandinaves pp. 45\u201349 (Stockholm 1934)."},{"key":"e_1_2_1_11_2","first-page":"53","article-title":"Some results on hyper K \u2010algebras","volume":"3","author":"Zahedi M. M.","year":"2000","journal-title":"Scientiae Mathematicae Japonicae"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.200810035","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.200810035","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T12:35:19Z","timestamp":1700570119000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.200810035"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1002\/malq.200810035"],"URL":"https:\/\/doi.org\/10.1002\/malq.200810035","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}