{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,5,6]],"date-time":"2022-05-06T09:09:08Z","timestamp":1651828148063},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2011,1,11]],"date-time":"2011-01-11T00:00:00Z","timestamp":1294704000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2012,7]]},"DOI":"10.1007\/s00521-010-0509-y","type":"journal-article","created":{"date-parts":[[2011,1,10]],"date-time":"2011-01-10T08:42:40Z","timestamp":1294648960000},"page":"979-992","source":"Crossref","is-referenced-by-count":6,"title":["A fuzzy view of $$\\Upgamma$$ -hyperrings"],"prefix":"10.1007","volume":"21","author":[{"given":"Yunqiang","family":"Yin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"Davvaz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianming","family":"Zhan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,1,11]]},"reference":[{"key":"509_CR1","first-page":"47","volume":"6","author":"R Ameri","year":"1999","unstructured":"Ameri R, Hedayati H, Molaee A (1999) On fuzzy hyperideals of $$\\Upgamma$$ -hyperrings. Iran J Fuzzy Syst 6:47\u201359","journal-title":"Iran J Fuzzy Syst"},{"key":"509_CR2","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.camwa.2010.04.028","volume":"60","author":"SM Anvariyeh","year":"2010","unstructured":"Anvariyeh SM, Mirvakili S, Davvaz B (2010) Pawlaks approximations in $$\\Upgamma$$ -semihypergroups. Comput Math Appl 60:45\u201353","journal-title":"Comput Math Appl"},{"key":"509_CR3","doi-asserted-by":"crossref","first-page":"411","DOI":"10.2140\/pjm.1966.18.411","volume":"18","author":"WE Barnes","year":"1966","unstructured":"Barnes WE (1966) On the $$\\Upgamma$$ -rings of Nobusawa. Pac J Math 18:411\u201322","journal-title":"Pac J Math"},{"key":"509_CR4","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0165-0114(92)90196-B","volume":"51","author":"SK Bhakat","year":"1992","unstructured":"Bhakat SK, Das P (1992) On the definition of a fuzzy subgroup. Fuzzy Sets Syst 51:235\u2013241","journal-title":"Fuzzy Sets Syst"},{"key":"509_CR5","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/0165-0114(95)00157-3","volume":"80","author":"SK Bhakat","year":"1992","unstructured":"Bhakat SK, Das P (1992) (\u00a0\u2208\u00a0,\u00a0\u00a0\u2208\u00a0\u2228 q)-fuzzy subgroups. Fuzzy Sets Syst 80:359\u2013368","journal-title":"Fuzzy Sets Syst"},{"key":"509_CR6","volume-title":"Prolegomena of hypergroup theory","author":"P Corsini","year":"1993","unstructured":"Corsini P (1993) Prolegomena of hypergroup theory. Aviani Editore, Italy"},{"key":"509_CR7","first-page":"293","volume":"20","author":"P Corsini","year":"1995","unstructured":"Corsini P, Leoreanu-Fotea V (1995) Join spaces associated with fuzzy sets. J Comb Inf Syst Sci 20:293\u2013303","journal-title":"J Comb Inf Syst Sci"},{"key":"509_CR8","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1007\/BF02871859","volume":"51","author":"P Corsini","year":"2002","unstructured":"Corsini P, Leoreanu-Fotea V (2002) Fuzzy sets and join spaces associated with rough sets. Rend Circ Mat Palermo 51:527\u2013536","journal-title":"Rend Circ Mat Palermo"},{"key":"509_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3714-1","volume-title":"Applications of hyperstructure theory, advances in mathematics (Dordrecht)","author":"P Corsini","year":"2003","unstructured":"Corsini P, Leoreanu-Fotea V (2003) Applications of hyperstructure theory, advances in mathematics (Dordrecht). Kluwer, Dordrecht"},{"issue":"3","key":"509_CR10","first-page":"321","volume":"35","author":"B Davvaz","year":"2004","unstructured":"Davvaz B (2004) Isomorphism theorems on hyperrings. Indian J Pure Appl Math 35(3):321\u2013331","journal-title":"Indian J Pure Appl Math"},{"issue":"11","key":"509_CR11","doi-asserted-by":"crossref","first-page":"1109","DOI":"10.1007\/s00500-006-0048-8","volume":"10","author":"B Davvaz","year":"2006","unstructured":"Davvaz B, Corsini P (2006) Generalized fuzzy sub-hyperquasigroups of hyperquasigroups. Soft Comput 10(11):1109\u20131114","journal-title":"Soft Comput"},{"issue":"3","key":"509_CR12","first-page":"241","volume":"17","author":"B Davvaz","year":"2006","unstructured":"Davvaz B, Corsini P (2006) Generalized fuzzy hyperideals of hypernear-rings and many valued implications. J Intell Fuzzy Syst 17(3):241\u2013251","journal-title":"J Intell Fuzzy Syst"},{"issue":"(4","key":"509_CR13","first-page":"377","volume":"18","author":"B Davvaz","year":"2007","unstructured":"Davvaz B, Corsini P (2007) Fuzzy n-ary hypergroups. J Intell Fuzzy Syst 18((4):377\u2013382","journal-title":"J Intell Fuzzy Syst"},{"key":"509_CR14","doi-asserted-by":"crossref","first-page":"654","DOI":"10.1016\/j.ins.2008.10.023","volume":"179","author":"B Davvaz","year":"2009","unstructured":"Davvaz B, Corsini P, Leoreanu-Fotea V (2009) Atanassov\u2019s intuitionistic (S,\u00a0T)-fuzzy n-ary subhypergroups and their properties. Inform Sci 179:654\u2013666","journal-title":"Inform Sci"},{"key":"509_CR15","volume-title":"Hyperring theory and applications","author":"B Davvaz","year":"2007","unstructured":"Davvaz B, Leoreanu-Fotea V (2007) Hyperring theory and applications. International Academic Press, USA"},{"issue":"12","key":"509_CR16","doi-asserted-by":"crossref","first-page":"4389","DOI":"10.1080\/00927870600938316","volume":"34","author":"B Davvaz","year":"2006","unstructured":"Davvaz B, Salasi A (2006) A realization of hyperrings. Commun Algebra 34(12):4389\u20134400","journal-title":"Commun Algebra"},{"issue":"11","key":"509_CR17","doi-asserted-by":"crossref","first-page":"3307","DOI":"10.1080\/00927870701410629","volume":"35","author":"B Davvaz","year":"2007","unstructured":"Davvaz B, Vougiouklis T (2007) Commutative rings obtained from hyperrings (H v -rings) with \u03b1*-relations. Commun Algebra 35(11):3307\u20133320","journal-title":"Commun Algebra"},{"issue":"8","key":"509_CR18","doi-asserted-by":"crossref","first-page":"2846","DOI":"10.1016\/j.camwa.2010.02.003","volume":"59","author":"B Davvaz","year":"2010","unstructured":"Davvaz B, Zhan J, Kim KH (2010) Fuzzy $$\\Upgamma$$ -hypernear-rings. Comput Math Appl 59(8):2846\u20132853","journal-title":"Comput Math Appl"},{"key":"509_CR19","first-page":"9","volume":"28","author":"TK Dutta","year":"2005","unstructured":"Dutta TK, Chanda T (2005) Structures of fuzzy ideals of $$\\Upgamma$$ -ring. Bull Malays Math Sci Soc 28:9\u20138","journal-title":"Bull Malays Math Sci Soc"},{"key":"509_CR20","first-page":"65","volume":"30","author":"TK Dutta","year":"2007","unstructured":"Dutta TK, Chanda T (2007) Fuzzy prime ideals in $$\\Upgamma$$ -rings. Bull Malays Math Sci Soc 30:65\u201373","journal-title":"Bull Malays Math Sci Soc"},{"key":"509_CR21","first-page":"41","volume":"21","author":"YB Jun","year":"1995","unstructured":"Jun YB (1995) On fuzzy prime ideals of $$\\Upgamma$$ -rings. Soochow J Math 21:41\u201348","journal-title":"Soochow J Math"},{"key":"509_CR22","first-page":"163","volume":"8","author":"YB Jun","year":"1992","unstructured":"Jun YB, Lee CY (1992) Fuzzy $$\\Upgamma$$ -rings. Pusan Kyo\u0306ngnam Math J 8:163\u2013170","journal-title":"Pusan Kyo\u0306ngnam Math J"},{"issue":"1","key":"509_CR23","first-page":"105","volume":"9","author":"YB Jun","year":"1993","unstructured":"Jun YB, Lee CY (1993) Fuzzy prime ideals in $$\\Upgamma$$ -rings. Pusan Kyo\u0306ngnam Math J 9(1):105\u2013111","journal-title":"Pusan Kyo\u0306ngnam Math J"},{"key":"509_CR24","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/j.ins.2004.05.010","volume":"169","author":"A Kehagias","year":"2005","unstructured":"Kehagias A, Serafimidis K (2005) The L-fuzzy Nakano hypergroup. Inform Sci 169:305\u2013327","journal-title":"Inform Sci"},{"key":"509_CR25","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1155\/S0161171283000265","volume":"2","author":"M Krasner","year":"1983","unstructured":"Krasner M (1983) A class of hyperrings and hyperfields. Int J Math Math Sci 2:307\u2013312","journal-title":"Int J Math Math Sci"},{"key":"509_CR26","first-page":"509","volume":"11","author":"V Leoreanu-Fotea","year":"2000","unstructured":"Leoreanu-Fotea V (2000) Direct limit and inverse limit of join spaces associated with fuzzy sets. Pure Math Appl 11:509\u2013516","journal-title":"Pure Math Appl"},{"key":"509_CR27","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1016\/j.camwa.2008.11.004","volume":"57","author":"V Leoreanu-Fotea","year":"2009","unstructured":"Leoreanu-Fotea V (2009) Fuzzy hypermodules. Comput Math Appl 57:466\u2013475","journal-title":"Comput Math Appl"},{"key":"509_CR28","doi-asserted-by":"crossref","first-page":"2366","DOI":"10.1016\/j.fss.2008.11.007","volume":"160","author":"V Leoreanu-Fotea","year":"2009","unstructured":"Leoreanu-Fotea V, Davvaz B (2009) Fuzzy hyperrings. Fuzzy Sets Syst 160:2366\u20132378","journal-title":"Fuzzy Sets Syst"},{"key":"509_CR29","doi-asserted-by":"crossref","first-page":"2594","DOI":"10.1016\/j.camwa.2010.08.075","volume":"60","author":"X Ma","year":"2010","unstructured":"Ma X, Zhan J, Leoreanu-Fotea V (2010) On (fuzzy) isomorphism theorems of $$\\Upgamma$$ -hyperrings. Comput Math Appl 60:2594\u20132600","journal-title":"Comput Math Appl"},{"key":"509_CR30","unstructured":"Marty F (1934) Sur une generalization de la notion de groupe, in: 8th Congress Math. Scandianaves, Stockholm, pp 45\u201349"},{"key":"509_CR31","doi-asserted-by":"crossref","first-page":"1695","DOI":"10.1080\/00927870801937364","volume":"36","author":"S Mirvakili","year":"2008","unstructured":"Mirvakili S, Anvariyeh SM, Davvaz B (2008) On \u03b1-relation and transitivity conditions of \u03b1. Commun Algebra 36:1695\u20131703","journal-title":"Commun Algebra"},{"key":"509_CR32","doi-asserted-by":"crossref","DOI":"10.1142\/3929","volume-title":"Fuzzy Commutative Algebra","author":"JN Mordeson","year":"1998","unstructured":"Mordeson JN, Malik MS (1998) Fuzzy Commutative Algebra. World Publishing, Singapore"},{"key":"509_CR33","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1155\/S0161171288000250","volume":"11","author":"A Nakassis","year":"1988","unstructured":"Nakassis A (1988) Expository and survey article recent results in hyperring and hyperfield theory. Int J Math Math Sci 11:209\u2013220","journal-title":"Int J Math Math Sci"},{"key":"509_CR34","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1016\/0022-247X(80)90048-7","volume":"76","author":"PM Pu","year":"1980","unstructured":"Pu PM, Liu YM (1980) Fuzzy topology I: neighbourhood structure of a fuzzy point and MooreCSmith convergence. J Math Anal Appl 76:571\u2013599","journal-title":"J Math Anal Appl"},{"key":"509_CR35","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1016\/0022-247X(71)90199-5","volume":"35","author":"A Rosenfeld","year":"1971","unstructured":"Rosenfeld A (1971) Fuzzy groups. J Math Anal Appl 35:512\u2013517","journal-title":"J Math Anal Appl"},{"key":"509_CR36","doi-asserted-by":"crossref","first-page":"891","DOI":"10.1007\/s00500-007-0257-9","volume":"12","author":"MK Sen","year":"2008","unstructured":"Sen MK, Ameri R, Chowdhury G (2008) Fuzzy hypersemigroups. Soft Comput 12:891\u2013900","journal-title":"Soft Comput"},{"key":"509_CR37","doi-asserted-by":"crossref","unstructured":"Vougiouklis T (1991) The fundamental relation in hyperrings. The general hyperfield. In: Proceedings of fourth international congress on algebraic hyperstructures and applications (AHA 1990). World Scientific, pp 203\u2013211","DOI":"10.1142\/1274"},{"key":"509_CR38","volume-title":"Hyperstructures and their representations","author":"T Vougiouklis","year":"1994","unstructured":"Vougiouklis T (1994) Hyperstructures and their representations. Hadronic Press Inc., Palm Harbor"},{"key":"509_CR39","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1016\/j.camwa.2009.09.012","volume":"59","author":"Y Yin","year":"2010","unstructured":"Yin Y, Zhan J, Xu D, Wang J (2010) The L-fuzzy hypermodules. Comput Math Appl 59:953\u2013963","journal-title":"Comput Math Appl"},{"key":"509_CR40","doi-asserted-by":"crossref","unstructured":"Yin Y, Zhan J, Corsini P (2010a) Fuzzy roughness of n-ary hypergroups based a complete residuated lattice. Neural Comput Appl. doi: 10.1007\/s00521-010-0465-6","DOI":"10.1007\/s00521-010-0465-6"},{"key":"509_CR41","doi-asserted-by":"crossref","unstructured":"Yin Y, Zhan J, Corsini P (2010b) L-fuzzy roughness of n-ary polygroups. Acta Math Sin. doi: 10.1007\/s10114-011-9465-4","DOI":"10.1007\/s10114-011-9465-4"},{"key":"509_CR42","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inform Control 8:338\u2013358","journal-title":"Inform Control"},{"key":"509_CR43","first-page":"1","volume":"3","author":"MM Zahedi","year":"1995","unstructured":"Zahedi MM, Bolurian M, Hasankhani A (1995) On polygroups and fuzzy subpolygroups. J Fuzzy Math 3:1\u201315","journal-title":"J Fuzzy Math"},{"key":"509_CR44","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1007\/BF02831937","volume":"20","author":"J Zhan","year":"2006","unstructured":"Zhan J (2006) On properties of fuzzy hyperideals in hypernear-rings with t-norms. J Appl Math Comput 20:255\u2013277","journal-title":"J Appl Math Comput"},{"key":"509_CR45","doi-asserted-by":"crossref","first-page":"1732","DOI":"10.1016\/j.camwa.2008.04.002","volume":"56","author":"J Zhan","year":"2008","unstructured":"Zhan J, Davvaz B, Shum KP (2008) Generalized fuzzy hyperideals of hyperrings. Comput Math Appl 56:1732\u20131740","journal-title":"Comput Math Appl"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-010-0509-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-010-0509-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-010-0509-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T22:14:30Z","timestamp":1559081670000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-010-0509-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,11]]},"references-count":45,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2012,7]]}},"alternative-id":["509"],"URL":"https:\/\/doi.org\/10.1007\/s00521-010-0509-y","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1,11]]}}}