{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,20]],"date-time":"2024-06-20T13:19:51Z","timestamp":1718889591728},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2012,7,15]],"date-time":"2012-07-15T00:00:00Z","timestamp":1342310400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. & Cyber."],"published-print":{"date-parts":[[2013,10]]},"DOI":"10.1007\/s13042-012-0116-6","type":"journal-article","created":{"date-parts":[[2012,7,14]],"date-time":"2012-07-14T08:08:44Z","timestamp":1342253324000},"page":"505-513","source":"Crossref","is-referenced-by-count":11,"title":["Independence of axiom sets on intuitionistic fuzzy rough approximation operators"],"prefix":"10.1007","volume":"4","author":[{"given":"Xiaoping","family":"Yang","sequence":"first","affiliation":[]},{"given":"Yu","family":"Yang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,7,15]]},"reference":[{"key":"116_CR1","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. Journal of Information Sciences 109: 21\u201347","journal-title":"Journal of Information Sciences"},{"key":"116_CR2","unstructured":"Lin TY, Liu Q (1994) Rough approximate operators: axiomatic rough set theory. In: Ziarko W(ed.) rough sets, fuzzy sets and knowledge discovery, Springer, Berlin, pp 256\u2013260"},{"key":"116_CR3","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/j.ins.2003.08.017","volume":"160","author":"JS Mi","year":"2004","unstructured":"Mi JS, Zhang WX (2004) An axiomatic characterization of a fuzzy generalization of rough sets. Information Sciences 160: 235\u2013249","journal-title":"Information Sciences"},{"key":"116_CR4","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/S0020-0255(00)00019-0","volume":"129","author":"H Thiele","year":"2000","unstructured":"Thiele H (2000) On axiomatic characterisation of crisp approximation operators. Information Sciences 129: 221\u2013226","journal-title":"Information Sciences"},{"key":"116_CR5","unstructured":"Yao YY (1998) Generalized rough set model. In: Polkowski L, Skowron A (eds.) rough sets in knowledge discovery 1. methodology and applications. Physica-Verlag, Heidelberg, pp 286\u2013318"},{"key":"116_CR6","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1080\/03081070512331318329","volume":"34","author":"JS Mi","year":"2005","unstructured":"Mi JS, Leung Y, Wu WZ (2005) An uncertainty measure in partition-based fuzzy rough sets. International Journal of General Systems 34: 77\u201390","journal-title":"International Journal of General Systems"},{"key":"116_CR7","doi-asserted-by":"crossref","first-page":"492","DOI":"10.3233\/FI-1991-14406","volume":"14","author":"S Comer","year":"1991","unstructured":"Comer S (1991) An algebraic approach to the approximation of information. Fundamenta Informaticae 14: 492\u2013502","journal-title":"Fundamenta Informaticae"},{"key":"116_CR8","doi-asserted-by":"crossref","unstructured":"Comer S (1993) On connections between information systems, rough sets and algebraic logic. In: Rauszer C (ed.) algebraic methods in logic and computer science. Banach Center Publisher, Vol. 28, Polish Academy of Sciences, pp 117\u2013127","DOI":"10.4064\/-28-1-117-124"},{"key":"116_CR9","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/S0020-0255(98)10006-3","volume":"111","author":"YY Yao","year":"1998","unstructured":"Yao YY (1998) Relational interpretations of neighborhood operators and rough set approximation operators. Information Sciences 111:239\u2013259","journal-title":"Information Sciences"},{"key":"116_CR10","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/S0020-0255(03)00056-2","volume":"152","author":"W Zhu","year":"2003","unstructured":"Zhu W, Wang FY (2003) Reduction and axiomization of covering generalized rough sets. Information Sciences 152:217\u2013230","journal-title":"Information Sciences"},{"key":"116_CR11","doi-asserted-by":"crossref","first-page":"1131","DOI":"10.1109\/TKDE.2007.1044","volume":"19","author":"W Zhu","year":"2007","unstructured":"Zhu W, Wang FY (2007) On three types of covering rough sets. IEEE Transactions on Knowledge and Data Engineering 19: 1131\u20131144","journal-title":"IEEE Transactions on Knowledge and Data Engineering"},{"key":"116_CR12","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. Information Sciences 144: 201\u2013217","journal-title":"Information Sciences"},{"key":"116_CR13","doi-asserted-by":"crossref","first-page":"887","DOI":"10.1016\/j.ins.2005.01.012","volume":"176","author":"XP Yang","year":"2006","unstructured":"Yang XP, Li TJ (2006) The minimization of axiom sets characterizing generalized approximation operators. Information Sciences 176: 887\u2013899","journal-title":"Information Sciences"},{"key":"116_CR14","first-page":"51","volume":"37","author":"U Wybraniec-Skardowska","year":"1989","unstructured":"Wybraniec-Skardowska U (1989) On a generalization of approximation space. Bulletin of the Polish Academy of Sciences: Mathematics 37: 51\u201361","journal-title":"Bulletin of the Polish Academy of Sciences: Mathematics"},{"key":"116_CR15","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/S0020-0255(02)00379-1","volume":"151","author":"WZ Wu","year":"2003","unstructured":"Wu WZ, Mi JS, Zhang WX (2003) Generalized fuzzy rough sets. Information Sciences 151: 263\u2013282","journal-title":"Information Sciences"},{"key":"116_CR16","doi-asserted-by":"crossref","first-page":"280","DOI":"10.1111\/1468-0394.00252","volume":"20","author":"WZ Wu","year":"2003","unstructured":"Wu WZ, Zhang WX, Li HZ (2003) Knowledge acquisition in incomplete fuzzy information systems via rough set approach. Expert Systems 20: 280\u2013286","journal-title":"Expert Systems"},{"key":"116_CR17","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1080\/03081079008935107","volume":"17","author":"D Dubois","year":"1990","unstructured":"Dubois D, Prade H (1990) Rough fuzzy sets and fuzzy rough sets. International Journal of General Systems 17: 191\u2013209","journal-title":"International Journal of General Systems"},{"key":"116_CR18","unstructured":"Thiele H (2000) On axiomatic characterisation of fuzzy approximation operators I, the fuzzy rough set based case. In: Proceedings of conference (RSCTC), Banff Park Lodge, Bariff, Canada, pp 239\u2013247"},{"key":"116_CR19","doi-asserted-by":"crossref","unstructured":"Thiele H (2001) On axiomatic characterisation of fuzzy approximation operators II, the rough fuzzy set based case. In: Proceeding of the 31st IEEE International Symposium on Multiple-Valued Logic, pp 330\u2013335","DOI":"10.1109\/ISMVL.2001.924592"},{"key":"116_CR20","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.fss.2005.02.011","volume":"154","author":"WZ Wu","year":"2005","unstructured":"Wu WZ, Leung Y, Mi JS (2005) On characterizations of ( $${{\\mathcal I, T}}$$ )-fuzzy rough approximation operators. Fuzzy Sets and Systems 154: 76\u2013102","journal-title":"Fuzzy Sets and Systems"},{"key":"116_CR21","doi-asserted-by":"crossref","unstructured":"Wu WZ, Leung Y, Zhang WX (2006) On generalized rough fuzzy approximation operators. Transactions on Rough Sets V, LNCS 4100, pp 263\u2013284","DOI":"10.1007\/11847465_13"},{"key":"116_CR22","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.ins.2003.08.005","volume":"159","author":"WZ Wu","year":"2004","unstructured":"Wu WZ, Zhang WX (2004) Constructive and axiomatic approaches of fuzzy approximation operators. Information Sciences 159: 233\u2013254","journal-title":"Information Sciences"},{"key":"116_CR23","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/S0165-0114(97)00104-8","volume":"100","author":"NM Morsi","year":"1998","unstructured":"Morsi NM, Yakout MM (1998) Axiomatics for fuzzy rough sets. Fuzzy Sets and Systems 100: 327\u2013342","journal-title":"Fuzzy Sets and Systems"},{"key":"116_CR24","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/S0165-0114(01)00032-X","volume":"126","author":"AM Radzikowska","year":"2002","unstructured":"Radzikowska AM, Kerre EE (2002) A comparative study of fuzzy rough sets. Fuzzy Sets and Systems 126: 137\u2013155","journal-title":"Fuzzy Sets and Systems"},{"key":"116_CR25","doi-asserted-by":"crossref","first-page":"3840","DOI":"10.1016\/j.ins.2007.03.008","volume":"177","author":"XP Yang","year":"2007","unstructured":"Yang XP (2007) Minimization of axiom sets on fuzzy approximation operators. Information Sciences 177: 3840\u20133854","journal-title":"Information Sciences"},{"key":"116_CR26","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"K Atanassov","year":"1986","unstructured":"Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20: 87\u201396","journal-title":"Fuzzy Sets and Systems"},{"key":"116_CR27","doi-asserted-by":"crossref","unstructured":"Atanassov K (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg","DOI":"10.1007\/978-3-7908-1870-3"},{"key":"116_CR28","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. Information and Control 8:338\u2013353","journal-title":"Information and Control"},{"key":"116_CR29","doi-asserted-by":"crossref","first-page":"4230","DOI":"10.1016\/j.ins.2011.06.002","volume":"181","author":"X Wang","year":"2011","unstructured":"Wang X, He Y, Dong L, Zhao H (2011) Particle swarm optimization for determining fuzzy measures from data. Information Sciences, 181: 4230-4252","journal-title":"Information Sciences,"},{"key":"116_CR30","doi-asserted-by":"crossref","unstructured":"Wang X, Dong L, Yan J (2011) Maximum ambiguity based sample selection in fuzzy decision tree induction, IEEE Transactions on Knowledge and Data Engineering, doi: 10.1109\/TKDE.2011.67","DOI":"10.1109\/TKDE.2011.67"},{"key":"116_CR31","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/S0165-0114(97)00249-2","volume":"96","author":"D Coker","year":"1998","unstructured":"Coker D (1998) Fuzzy rough sets are intuitionistic L- fuzzy sets. Fuzzy Sets and Systems 96: 381\u2013383","journal-title":"Fuzzy Sets and Systems"},{"key":"116_CR32","unstructured":"Radzikowska AM (2006) Rough approximation operators based on IF sets. In: Rutkowski L, Tadeusiewicz R, Zadeh LA, Zurada J (eds.) ICAISC\u201906: artificial intelligence and soft computing, LNAI 4029, pp 528\u2013537"},{"key":"116_CR33","first-page":"561","volume":"9","author":"SK Samanta","year":"2001","unstructured":"Samanta SK, Mondal TK (2001) Intuitionistic fuzzy rough sets and rough intuitionistic fuzzy sets. Journal of Fuzzy Mathematics 9: 561\u2013582","journal-title":"Journal of Fuzzy Mathematics"},{"key":"116_CR34","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/0165-0114(96)84610-0","volume":"78","author":"H Bustince","year":"1996","unstructured":"Bustince H, Burillo P (1996) Structures on intuitionistic fuzzy relations. Fuzzy Sets and Systems 78: 293\u2013303","journal-title":"Fuzzy Sets and Systems"},{"key":"116_CR35","unstructured":"Chakrabartym K, Gedeon T, Koczy L (1998) Intuitionistic fuzzy rough set. In: Proceedings of 4th Joint Conference on Information Sciences (JCIS), Durham, NC, pp 211\u2013214"},{"key":"116_CR36","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1111\/1468-0394.00250","volume":"20","author":"C Cornelis","year":"2003","unstructured":"Cornelis C, Cock MD, Kerre EE (2003) Intuitionistic fuzzy rough sets: at the crossroads of imperfect knowledge. Expert Systems 20: 260\u2013270","journal-title":"Expert Systems"},{"key":"116_CR37","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1016\/S0165-0114(98)00191-2","volume":"114","author":"SK De","year":"2000","unstructured":"De SK, Biswas R, Roy AR (2000) Some operations on intuitionistic fuzzy sets. Fuzzy Sets and Systems 114: 477\u2013484","journal-title":"Fuzzy Sets and Systems"},{"key":"116_CR38","first-page":"1","volume":"8","author":"SP Jena","year":"2002","unstructured":"Jena SP, Ghosh SK (2002) Intuitionistic fuzzy rough sets. Notes on Intuitionistic Fuzzy Sets 8: 1\u201318","journal-title":"Notes on Intuitionistic Fuzzy Sets"},{"key":"116_CR39","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/j.fss.2005.03.004","volume":"154","author":"D Li","year":"2005","unstructured":"Li D, Shan F, Cheng C (2005) On properties of four IFS operators. Fuzzy Sets and Systems 154: 151\u2013155","journal-title":"Fuzzy Sets and Systems"},{"key":"116_CR40","doi-asserted-by":"crossref","unstructured":"Liu Q, Liu J (2009) On structure of generalized intuitionistic fuzzy rough sets. In: Proceedings of the 2009 IEEE international conference on Granular Computing (GrC), Nanchang, 419\u2013423","DOI":"10.1109\/GRC.2009.5255087"},{"key":"116_CR41","doi-asserted-by":"crossref","first-page":"883","DOI":"10.1016\/j.ins.2008.11.015","volume":"179","author":"L Zhou","year":"2009","unstructured":"Zhou L, Wu WZ, Zhang WX (2009) On characterization fo intuitionistic fuzzy rough sets based on intuitionistic fuzzy implicators. Information Sciences 179: 883\u2013898","journal-title":"Information Sciences"},{"key":"116_CR42","first-page":"2448","volume":"178","author":"L Zhou","year":"2008","unstructured":"Zhou L, Wu WZ (2008) On generalized intuitionistic fuzzy rough approximation operators. Information Sciences 178: 2448\u20132465","journal-title":"Information Sciences"},{"key":"116_CR43","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1016\/j.camwa.2011.05.009","volume":"62","author":"L Zhou","year":"2011","unstructured":"Zhou L, Wu WZ (2011) Characterization of rough set approximations in Atanassov intuitionistic fuzzy set theory. Computer and Mathematics with Applications 62: 282\u2013296","journal-title":"Computer and Mathematics with Applications"},{"key":"116_CR44","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/0165-0114(92)90114-J","volume":"45","author":"S Nanda","year":"1992","unstructured":"Nanda S, Majumda S (1992) Fuzzy rough sets. Fuzzy Sets and Systems 45: 157\u2013160","journal-title":"Fuzzy Sets and Systems"},{"key":"116_CR45","unstructured":"Rizvi S, Naqvi HJ, Nadeem D (2002) Rough intuitionistic fuzzy set. In: Proceedings of the 6th Joint Conference on Information Sciences (JCIS), Durham, NC, pp 101\u2013104"},{"key":"116_CR46","doi-asserted-by":"crossref","unstructured":"Yang X, Song X, Chen Z, Yang J (2011) On multigranulation rough sets in incomplete information system. Int. J. Mach. Learn. & Cyber. DOI: 10.1007\/s13042-011-0054-8","DOI":"10.1007\/s13042-011-0054-8"},{"key":"116_CR47","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/s13042-011-0027-y","volume":"2","author":"W Zhu","year":"2011","unstructured":"Zhu W, Wang S (2011) Matroidal approaches to generalized rough sets based on relations. Int. J. Mach. Learn. & Cyber. 2: 273\u2013279","journal-title":"Int. J. Mach. Learn. & Cyber."}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-012-0116-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-012-0116-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-012-0116-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,21]],"date-time":"2022-01-21T05:32:32Z","timestamp":1642743152000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-012-0116-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7,15]]},"references-count":47,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2013,10]]}},"alternative-id":["116"],"URL":"https:\/\/doi.org\/10.1007\/s13042-012-0116-6","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7,15]]}}}