{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T04:17:25Z","timestamp":1759033045413},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2012,6,28]],"date-time":"2012-06-28T00:00:00Z","timestamp":1340841600000},"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. &amp; Cyber."],"published-print":{"date-parts":[[2013,10]]},"DOI":"10.1007\/s13042-012-0110-z","type":"journal-article","created":{"date-parts":[[2012,6,27]],"date-time":"2012-06-27T15:50:11Z","timestamp":1340812211000},"page":"459-468","source":"Crossref","is-referenced-by-count":8,"title":["Independence of axiom sets characterizing formal concepts"],"prefix":"10.1007","volume":"4","author":[{"given":"Xiao-Xue","family":"Song","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xia","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wen-Xiu","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,6,28]]},"reference":[{"key":"110_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ins.2008.09.005","volume":"179","author":"C Alcalde","year":"2009","unstructured":"Alcalde C, Burusco A, Fuentes-Gonz\u00e1lez R, Zubia I (2009) Treatment of L-fuzzy contexts with absent values. Inf Sci 179:1\u201315","journal-title":"Inf Sci"},{"issue":"1\u20133","key":"110_CR2","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/j.apal.2003.01.001","volume":"128","author":"R Belohlavek","year":"2004","unstructured":"Belohlavek R (2004) Concept lattices and order in fuzzy logic. Ann Pure Appl Logic 128 (1\u20133):277\u2013298","journal-title":"Ann Pure Appl Logic"},{"key":"110_CR3","first-page":"209","volume":"3","author":"A Burusco","year":"1994","unstructured":"Burusco A, Fuentes-Gonzales R (1994) The study of the L-fuzzy concept lattice. Math Soft Comput I 3:209\u2013218","journal-title":"Math Soft Comput I"},{"key":"110_CR4","doi-asserted-by":"crossref","unstructured":"D\u00fcntsch I, Gediga G (2002) Modal-style operators in qualitative data analysis. In: Proceedings of the 2002 IEEE international conference on data mining, pp 155\u2013162","DOI":"10.1109\/ICDM.2002.1183898"},{"key":"110_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-59830-2","volume-title":"Formal concept analysis, mathematical foundations","author":"B Ganter","year":"1999","unstructured":"Ganter B, Wille R (1999) Formal concept analysis, mathematical foundations. Springer, New York"},{"key":"110_CR6","unstructured":"Hu K, Sui Y, Lu Y, Wang J, Shi C (2001) Concept approximation in concept lattice. In: Knowledge discovery and data mining. Proceedings of 5th Pacific\u2013Asia conference, PAKDD\u201901. Lecture Notes in Computer Science, vol 2035, pp 167\u2013173"},{"key":"110_CR7","doi-asserted-by":"crossref","first-page":"169","DOI":"10.3233\/FI-1996-272305","volume":"27","author":"RE Kent","year":"1996","unstructured":"Kent RE (1996) Rough concept analysis: a synthesis of rough sets and formal concept analysis. Fundam Inf 27:169\u2013181","journal-title":"Fundam Inf"},{"key":"110_CR8","doi-asserted-by":"crossref","first-page":"1390","DOI":"10.1016\/j.camwa.2006.03.040","volume":"53","author":"M Liu","year":"2007","unstructured":"Liu M, Shao MW, Zhang WX, Wu C (2007) Reduction method for concept lattices based on rough set theory and its application. Comput Math Appl 53:1390\u20131410","journal-title":"Comput Math Appl"},{"key":"110_CR9","doi-asserted-by":"crossref","first-page":"857","DOI":"10.1016\/j.ijar.2008.02.001","volume":"48","author":"GL Liu","year":"2008","unstructured":"Liu GL (2008) Axiomatic systems for rough sets and fuzzy rough sets. Int J Approx Reason 48:857\u2013867","journal-title":"Int J Approx Reason"},{"key":"110_CR10","unstructured":"Ma JM (2007) The mathematical characterizations of some models on rough set and concept lattice, Ph.D. Dissertation. Xi\u2019an Jiaotong University (in Chinese)"},{"key":"110_CR11","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 set. Fuzzy Sets Syst 100:327\u2013342","journal-title":"Fuzzy Sets Syst"},{"key":"110_CR12","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 Inf Sci 11:341\u2013356","journal-title":"Int J Comput Inf Sci"},{"key":"110_CR13","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.ins.2006.06.007","volume":"177","author":"Z Pawlak","year":"2007","unstructured":"Pawlak Z, Skowron A (2007) Rough sets and Boolean reasoning. Inf Sci 177:41\u201373","journal-title":"Inf Sci"},{"issue":"3","key":"110_CR14","first-page":"655","volume":"11","author":"J Saquer","year":"2001","unstructured":"Saquer J, Deogun JS (2001) Concept approximations based on rough sets and similarity measures. Int J Appl Math Comput Sci 11(3):655\u2013674","journal-title":"Int J Appl Math Comput Sci"},{"key":"110_CR15","doi-asserted-by":"crossref","unstructured":"Saquer J, Deogun JS (1999) Formal rough concept analysis. In: Zhong N, Skowron A, Ohsuga S (eds) The 7th international conference on new directions in rough sets, data mining, and granular-soft computing (RSFDGrC99). Lecture Notes in Computer Science, vol 1711. Springer, Berlin, pp 91\u201399","DOI":"10.1007\/978-3-540-48061-7_13"},{"key":"110_CR16","unstructured":"Shao MW, Zhang WX (2005) Approximation in formal concept analysis. In: Slezak D, Yao JT, Peters JF et\u00a0al (eds) The 10th international conference on rough sets, fuzzy sets, data mining, and granular computing (RSFDGrC 2005). Lecture Notes in Artificial Intelligence, vol 3641. Springer, Berlin, pp 43\u201353"},{"key":"110_CR17","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 characterisations of crisp approximation operators. Inf Sci 129:221\u2013226","journal-title":"Inf Sci"},{"key":"110_CR18","unstructured":"Thiele H (2001) On axiomatic characterisation of fuzzy approximation operators I, the fuzzy rough set based case. In: RSCTC 2000, Lecture Notes in Computer Science, vol 2005. Springer, Berlin, pp 239\u2013247"},{"issue":"16","key":"110_CR19","doi-asserted-by":"crossref","first-page":"3188","DOI":"10.1016\/j.ins.2008.03.021","volume":"178","author":"X-Z Wang","year":"2008","unstructured":"Wang X-Z, Zhai J-H, Lu S-X (2008) Induction of multiple fuzzy decision trees based on rough set technique. Inf Sci 178(16):3188\u20133202","journal-title":"Inf Sci"},{"issue":"20","key":"110_CR20","doi-asserted-by":"crossref","first-page":"4493","DOI":"10.1016\/j.ins.2007.04.010","volume":"177","author":"X-Z Wang","year":"2007","unstructured":"Wang X-Z, Tsang E, Zhao S-Y, Chen D-G, Yeung D (2007) Learning fuzzy rules from fuzzy examples based on rough set techniques. Inf Sci 177(20):4493\u20134514","journal-title":"Inf Sci"},{"key":"110_CR21","doi-asserted-by":"crossref","unstructured":"Wille R (1982) Restructuring lattice theory: an approach based on hierarchies of concepts. In: Rival I (ed) Ordered sets. Reidel, Dordrecht, pp 445\u2013470","DOI":"10.1007\/978-94-009-7798-3_15"},{"key":"110_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. Inf Sci 159:233\u2013254","journal-title":"Inf Sci"},{"key":"110_CR23","doi-asserted-by":"crossref","unstructured":"Yang XB, Song X, Chen Z, Yang J (2011) On multigranulation rough sets in incomplete information system. Int J Mach Learn Cybern","DOI":"10.1007\/978-3-642-25935-7_6"},{"key":"110_CR24","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. Inf Sci 176:887\u2013899","journal-title":"Inf Sci"},{"key":"110_CR25","doi-asserted-by":"crossref","unstructured":"Yao YY (2004) Concept lattices in rough set theory. In: Proceedings of 23rd international meeting of the North American Fuzzy Information Processing Society, pp 796\u2013801","DOI":"10.1109\/NAFIPS.2004.1337404"},{"key":"110_CR26","doi-asserted-by":"crossref","unstructured":"Yao YY (2004) A comparative study of formal concept analysis and rough set theory in data analysis. In: Proceedings of 3rd international conference, RSCTC\u201904, pp 59\u201368","DOI":"10.1007\/978-3-540-25929-9_6"},{"key":"110_CR27","doi-asserted-by":"crossref","unstructured":"Yao YY (2004) Rough set approximations in formal concept analysis. In: Proceedings of 2004 annual meeting of the North American Fuzzy Information Processing Society, pp 73\u201378","DOI":"10.1109\/NAFIPS.2004.1336252"},{"key":"110_CR28","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. J Inf Sci 109:21\u201347","journal-title":"J Inf Sci"},{"key":"110_CR29","first-page":"3177","volume":"157","author":"WX Zhang","year":"2007","unstructured":"Zhang WX, Ma JM, Fan SQ (2007) Variable threshold concept lattices. Inf Sci 157:3177\u20133187","journal-title":"Inf Sci"},{"key":"110_CR30","volume-title":"Uncertain decision making based on rough set","author":"WX Zhang","year":"2005","unstructured":"Zhang WX, Qiu GF (2005) Uncertain decision making based on rough set. Tsinghua University Press, Beijing (in Chinese)"},{"issue":"6","key":"110_CR31","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1360\/122004-104","volume":"48","author":"WX Zhang","year":"2005","unstructured":"Zhang WX, Wei L, Qi JJ (2005) Attribute reduction theory and approach to concept lattice. Sci China Ser F Inf Sci 48(6):713\u2013726","journal-title":"Sci China Ser F Inf Sci"},{"issue":"4","key":"110_CR32","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 Cybern 2(4):273\u2013279","journal-title":"Int J Mach Learn Cybern"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-012-0110-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-012-0110-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-012-0110-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,10]],"date-time":"2020-07-10T00:12:14Z","timestamp":1594339934000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-012-0110-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6,28]]},"references-count":32,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2013,10]]}},"alternative-id":["110"],"URL":"https:\/\/doi.org\/10.1007\/s13042-012-0110-z","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6,28]]}}}