{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,23]],"date-time":"2024-07-23T11:55:39Z","timestamp":1721735739414},"reference-count":52,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2010,11,4]],"date-time":"2010-11-04T00:00:00Z","timestamp":1288828800000},"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":[[2011,2]]},"DOI":"10.1007\/s00521-010-0465-6","type":"journal-article","created":{"date-parts":[[2010,11,3]],"date-time":"2010-11-03T01:46:13Z","timestamp":1288748773000},"page":"41-57","source":"Crossref","is-referenced-by-count":14,"title":["Fuzzy roughness of n-ary hypergroups based on a complete residuated lattice"],"prefix":"10.1007","volume":"20","author":[{"given":"Yunqiang","family":"Yin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianming","family":"Zhan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Corsini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,11,4]]},"reference":[{"key":"465_CR1","first-page":"21","volume":"6","author":"R Ameri","year":"1999","unstructured":"Ameri R, Zahedi MM (1999) Hyperalgebraic system. Ital J Pure Appl Math 6:21\u201332","journal-title":"Ital J Pure Appl Math"},{"key":"465_CR2","first-page":"251","volume":"42","author":"R Biswas","year":"1994","unstructured":"Biswas R, Nanda S (1994) Rough groups and rough subgroups. Bull Polishe Acad Sci Math 42:251\u2013254","journal-title":"Bull Polishe Acad Sci Math"},{"key":"465_CR3","doi-asserted-by":"crossref","first-page":"1829","DOI":"10.1016\/j.ins.2005.05.009","volume":"176","author":"D Chen","year":"2006","unstructured":"Chen D, Zhang W, Daniel Y, Tsang ECC (2006) Rough approximations on a complete completely distributive lattice with applications to generalized rough sets. Inform Sci 176:1829\u20131848","journal-title":"Inform Sci"},{"key":"465_CR4","unstructured":"Corsini P (1993) In: Aviani (ed) Prolegomena of hypergroup theory, 2nd edn"},{"key":"465_CR5","first-page":"293","volume":"20","author":"P Corsini","year":"1995","unstructured":"Corsini P, Leoreanu V (1995) Join spaces associated with fuzzy sets. J Comb Inf Syst Sci 20:293\u2013303","journal-title":"J Comb Inf Syst Sci"},{"key":"465_CR6","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 V (2003) Applications of hyperstructure theory. Advances in mathematics (Dordrecht). Kluwer, Dordrecht"},{"issue":"4","key":"465_CR7","doi-asserted-by":"crossref","first-page":"499","DOI":"10.11650\/twjm\/1500407473","volume":"6","author":"B Davvaz","year":"2002","unstructured":"Davvaz B (2002) Approximations in H v -modules. Taiwanese J Math 6(4):499\u2013505","journal-title":"Taiwanese J Math"},{"key":"465_CR8","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/j.ins.2003.10.001","volume":"164","author":"B Davvaz","year":"2004","unstructured":"Davvaz B (2004) Roughness in rings. Inform Sci 164:147\u2013163","journal-title":"Inform Sci"},{"issue":"11","key":"465_CR9","doi-asserted-by":"crossref","first-page":"1043","DOI":"10.1007\/s00500-005-0031-9","volume":"10","author":"B Davvaz","year":"2006","unstructured":"Davvaz B (2006) A new view of approximations in H v -groups. Soft Comput 10(11):1043\u20131046","journal-title":"Soft Comput"},{"issue":"(4","key":"465_CR10","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":"465_CR11","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/j.camwa.2008.07.017","volume":"57","author":"B Davvaz","year":"2009","unstructured":"Davvaz B, Corsini P, Leoreanu V (2009) Fuzzy n-ary subpolygroups. Comput Math Appl 57:141\u2013152","journal-title":"Comput Math Appl"},{"key":"465_CR12","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1016\/j.camwa.2009.01.015","volume":"57","author":"B Davvaz","year":"2009","unstructured":"Davvaz B, Leoreanu V (2009) Applications of interval valued fuzzy n-ary polygroups with respect to t-norms (t-conorms). Comput Math Appl 57:1413\u20131424","journal-title":"Comput Math Appl"},{"key":"465_CR13","doi-asserted-by":"crossref","first-page":"3658","DOI":"10.1016\/j.ins.2006.02.014","volume":"176","author":"B Davvaz","year":"2006","unstructured":"Davvaz B, Mahda vipour M (2006) Roughness in modules. Inform Sci 176:3658\u20133674","journal-title":"Inform Sci"},{"issue":"A2","key":"465_CR14","first-page":"165","volume":"A30","author":"B Davvaz","year":"2006","unstructured":"Davvaz B, Vougiouklis T (2006) n-ary hypergroups. Iranian J Sci Technol Trans A30(A2):165\u2013174","journal-title":"Iranian J Sci Technol Trans"},{"key":"465_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0165-0114(01)00114-2","volume":"122","author":"D Dubois","year":"2001","unstructured":"Dubois D, Prade H (2001) Editorial. Fuzzy Sets Syst 122:1\u20133","journal-title":"Fuzzy Sets Syst"},{"key":"465_CR16","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0022-247X(67)90189-8","volume":"18","author":"JA Goguen","year":"1967","unstructured":"Goguen JA (1967) L-fuzzy sets. J Math Anal Appl 18:145\u2013174","journal-title":"J Math Anal Appl"},{"key":"465_CR17","first-page":"2","volume":"175","author":"JS Jiang","year":"2004","unstructured":"Jiang JS, Wu CX, Chen DG (2004) The product structure of fuzzy rough sets on a group and the rough T-fuzzy group. Inform Sci 175:2\u201311","journal-title":"Inform Sci"},{"issue":"(1","key":"465_CR18","first-page":"165","volume":"57","author":"YB Jun","year":"2003","unstructured":"Jun YB (2003) Roughness of ideals in BCK-algebras. Sci Math Japon 57((1):165\u2013169","journal-title":"Sci Math Japon"},{"key":"465_CR19","doi-asserted-by":"crossref","first-page":"1343","DOI":"10.1016\/j.ins.2007.10.005","volume":"178","author":"O Kazanc\u0131","year":"2008","unstructured":"Kazanc\u0131 O, Davvaz B (2008) On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings. Inform Sci 178:1343\u2013354","journal-title":"Inform Sci"},{"key":"465_CR20","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1007\/s00521-009-0313-8","volume":"19","author":"O Kazanc\u0131","year":"2010","unstructured":"Kazanc\u0131 O, Davvaz B, Yamak S (2010) Fuzzy n-ary hypergroups related to fuzzy points. Neural Comput Applic 19:649\u2013655","journal-title":"Neural Comput Applic"},{"key":"465_CR21","doi-asserted-by":"crossref","first-page":"2349","DOI":"10.1016\/j.ins.2008.01.006","volume":"178","author":"O Kazanc\u0131","year":"2008","unstructured":"Kazanc\u0131 O, Yamak S, Davvaz B (2008) The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets. Inform Sci 178:2349\u20132359","journal-title":"Inform Sci"},{"key":"465_CR22","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":"465_CR23","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/S0020-0255(96)00274-5","volume":"100","author":"N Kuroki","year":"1997","unstructured":"Kuroki N (1997) Rough ideals in semigroups. Inform Sci 100:139\u2013163","journal-title":"Inform Sci"},{"issue":"(1","key":"465_CR24","first-page":"183","volume":"5","author":"N Kuroki","year":"1997","unstructured":"Kuroki N, Mordeson JN (1997) Structure of rough sets and rough groups. J Fuzzy Math 5((1):183\u2013191","journal-title":"J Fuzzy Math"},{"key":"465_CR25","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/0020-0255(95)00282-0","volume":"90","author":"N Kuroki","year":"1996","unstructured":"Kuroki N, Wang PP (1996) The lower and upper approximations in a fuzzy group. Inform Sci 90:203\u2013220","journal-title":"Inform Sci"},{"key":"465_CR26","first-page":"509","volume":"11","author":"V Leoreanu","year":"2000","unstructured":"Leoreanu 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":"465_CR27","doi-asserted-by":"crossref","first-page":"3605","DOI":"10.1016\/j.ins.2008.05.009","volume":"178","author":"V Leoreanu","year":"2008","unstructured":"Leoreanu V (2008) The lower and upper approximations in a hypergroup. Inform Sci 178:3605\u20133615","journal-title":"Inform Sci"},{"key":"465_CR28","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1016\/j.camwa.2008.11.004","volume":"57","author":"V Leoreanu","year":"2009","unstructured":"Leoreanu V (2009) Fuzzy hypermodules. Comput Math Appl 57:466\u2013475","journal-title":"Comput Math Appl"},{"key":"465_CR29","doi-asserted-by":"crossref","first-page":"985","DOI":"10.1007\/s00500-008-0341-9","volume":"13","author":"V Leoreanu","year":"2009","unstructured":"Leoreanu V, Corsini P (2009) Isomorphisms of hypergroups and of n-hypergroups with applications. Soft Comput 13:985\u2013994","journal-title":"Soft Comput"},{"key":"465_CR30","doi-asserted-by":"crossref","first-page":"1207","DOI":"10.1016\/j.ejc.2007.06.025","volume":"29","author":"V Leoreanu","year":"2008","unstructured":"Leoreanu V, Davvaz B (2008) n-hypergroups and binary relations. Eur J Combinator 29:1207\u20131218","journal-title":"Eur J Combinator"},{"key":"465_CR31","doi-asserted-by":"crossref","first-page":"4114","DOI":"10.1016\/j.ins.2008.06.019","volume":"178","author":"V Leoreanu","year":"2008","unstructured":"Leoreanu V, Davvaz B (2008) Roughness in n-ary hypergroups. Inform Sci 178:4114\u20134124","journal-title":"Inform Sci"},{"key":"465_CR32","doi-asserted-by":"crossref","first-page":"4711","DOI":"10.1016\/j.ins.2007.05.012","volume":"177","author":"F Li","year":"2007","unstructured":"Li F, Yin YL, Lu L (2007) (\u03d1,\u00a0T)-fuzzy rough approximation operators and the TL-fuzzy rough ideals on a ring. Inform Sci 177:4711\u20134726","journal-title":"Inform Sci"},{"key":"465_CR33","unstructured":"Marty F (1934) Sur une generalization de la notion de groupe. In: 8th congress mathematics, Scandianaves, pp 45\u201349"},{"key":"465_CR34","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, USA"},{"key":"465_CR35","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/S0165-0114(97)00104-8","volume":"100","author":"NN Morsi","year":"1998","unstructured":"Morsi NN, Yakout MM (1998) Axiomatics for fuzzy rough sets. Fuzzy Sets Syst 100:327\u2013342","journal-title":"Fuzzy Sets Syst"},{"key":"465_CR36","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z Pawlak","year":"1982","unstructured":"Pawlak Z (1982) Rough sets. Int J Comput Inform Sci 11:341\u2013356","journal-title":"Int J Comput Inform Sci"},{"key":"465_CR37","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.ins.2004.06.006","volume":"173","author":"G Qi","year":"2005","unstructured":"Qi G, Liu W (2005) Rough operations on Boolean algebras. Inform Sci 173:49\u201363","journal-title":"Inform Sci"},{"key":"465_CR38","doi-asserted-by":"crossref","first-page":"278","DOI":"10.1007\/978-3-540-27778-1_14","volume":"3135","author":"AM Radzikowska","year":"2004","unstructured":"Radzikowska AM, Kerre EE (2004) Fuzzy rough sets based on residuated lattices. Trans Rough Sets, Lect Notes Comput Sci 3135:278\u2013296","journal-title":"Trans Rough Sets, Lect Notes Comput Sci"},{"key":"465_CR39","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":"465_CR40","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":"465_CR41","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1109\/69.842271","volume":"2","author":"R Slowinski","year":"2000","unstructured":"Slowinski R, Vanderpooten D (2000) A generalized definition of rough approximations based on similarity. IEEE Trans Data Know Eng 2:331\u2013336","journal-title":"IEEE Trans Data Know Eng"},{"key":"465_CR42","unstructured":"Turunen E (1999) Mathematics behind fuzzy logics. Physica"},{"key":"465_CR43","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":"465_CR44","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1016\/j.ins.2004.12.010","volume":"176","author":"QM Xiao","year":"2006","unstructured":"Xiao QM, Zhang ZL (2006) Rough prime ideals and rough fuzzy prime ideals in semigroups. Inform Sci 176:725\u2013733","journal-title":"Inform Sci"},{"key":"465_CR45","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/S0020-0255(02)00180-9","volume":"144","author":"WZ Wu","year":"2002","unstructured":"Wu WZ, Zhang WX (2002) Neighborhood operator systems and approximations. Inform Sci 144:201\u2013217","journal-title":"Inform Sci"},{"key":"465_CR46","doi-asserted-by":"crossref","first-page":"3957","DOI":"10.1016\/j.ins.2008.06.007","volume":"178","author":"S Yamak","year":"2008","unstructured":"Yamak S, Kazanc\u0131 O, Davvaz B (2008) Applications of interval valued t-norms (t-conorms) to fuzzy n-ary sub-hypergroups. Inform Sci 178:3957\u20133972","journal-title":"Inform Sci"},{"key":"465_CR47","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/S0020-0255(98)00012-7","volume":"109","author":"YY Yao","year":"1998","unstructured":"Yao YY (1998) Constructive and algebraic methods of the theory of rough sets. Inform Sci 109:21\u201347","journal-title":"Inform Sci"},{"key":"465_CR48","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":"465_CR49","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 Cont 8:338\u2013358","journal-title":"Inform Cont"},{"key":"465_CR50","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":"465_CR51","doi-asserted-by":"crossref","first-page":"963","DOI":"10.1007\/s10114-005-0699-x","volume":"22","author":"J Zhan","year":"2006","unstructured":"Zhan J, Dudek WA (2006) Interval valued intuitionistic (S,\u00a0T)-fuzzy H v -submodules. Acta Math Sinica Eng Ser 22:963\u2013970","journal-title":"Acta Math Sinica Eng Ser"},{"key":"465_CR52","doi-asserted-by":"crossref","first-page":"1499","DOI":"10.1016\/j.ins.2006.06.009","volume":"177","author":"W Zhu","year":"2007","unstructured":"Zhu W (2007) Topological approaches to covering rough sets. Inform Sci 177:1499\u20131508","journal-title":"Inform Sci"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-010-0465-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-010-0465-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-010-0465-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,6]],"date-time":"2019-06-06T01:45:25Z","timestamp":1559785525000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-010-0465-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,11,4]]},"references-count":52,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,2]]}},"alternative-id":["465"],"URL":"https:\/\/doi.org\/10.1007\/s00521-010-0465-6","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,11,4]]}}}