{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,24]],"date-time":"2025-11-24T12:31:53Z","timestamp":1763987513357},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2012,10,11]],"date-time":"2012-10-11T00:00:00Z","timestamp":1349913600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Stud Logica"],"published-print":{"date-parts":[[2013,10]]},"DOI":"10.1007\/s11225-012-9421-z","type":"journal-article","created":{"date-parts":[[2012,10,10]],"date-time":"2012-10-10T07:53:13Z","timestamp":1349855593000},"page":"1073-1092","source":"Crossref","is-referenced-by-count":27,"title":["Information Completeness in Nelson Algebras of Rough Sets Induced by Quasiorders"],"prefix":"10.1007","volume":"101","author":[{"given":"Jouni","family":"J\u00e4rvinen","sequence":"first","affiliation":[]},{"given":"Piero","family":"Pagliani","sequence":"additional","affiliation":[]},{"given":"S\u00e1ndor","family":"Radeleczki","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,10,11]]},"reference":[{"key":"9421_CR1","doi-asserted-by":"crossref","unstructured":"Akama, S., Presupposition and frame problem in knowledge bases, in F. M. Brown (ed.), The Frame Problem in Artificial Intelligence, Kaufmann, Los Altos, CA, 1987, pp. 193\u2013203.","DOI":"10.1016\/B978-0-934613-32-3.50018-6"},{"key":"9421_CR2","volume-title":"Situations and Attitudes","author":"J. Barwise","year":"1983","unstructured":"Barwise J., Perry J.: Situations and Attitudes. MIT Press, Cambridge, MA (1983)"},{"key":"9421_CR3","volume-title":"Lattices and Ordered Algebraic Structures","author":"T.S. Blyth","year":"2005","unstructured":"Blyth T.S.: Lattices and Ordered Algebraic Structures. Springer, London (2005)"},{"key":"9421_CR4","doi-asserted-by":"crossref","first-page":"262","DOI":"10.1007\/BF01230621","volume":"23","author":"R. Cignoli","year":"1986","unstructured":"Cignoli R.: The class of Kleene algebras satisfying an interpolation property and Nelson algebras. Algebra Universalis 23, 262\u2013292 (1986)","journal-title":"Algebra Universalis"},{"key":"9421_CR5","volume-title":"Labelled Systems","author":"D.M. Gabbay","year":"1997","unstructured":"Gabbay D.M.: Labelled Systems. Oxford University Press, Oxford (1997)"},{"key":"9421_CR6","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/0168-0072(93)90093-S","volume":"59","author":"J.-Y. Girard","year":"1993","unstructured":"Girard J.-Y.: On the unity of logic. Annals of Pure and Applied Logic 59, 201\u2013217 (1993)","journal-title":"Annals of Pure and Applied Logic"},{"key":"9421_CR7","unstructured":"Greco, S., B. Matarazzo, and R. S\u0142owinski, Data mining tasks and methods: Classification: multicriteria classification, in W. Kl\u00f6sgen and J. \u00a0Zytkow (eds.), Handbook of Data Mining and Knowledge Discovery, Oxford University Press, Oxford, 2002, pp. 318\u2013328."},{"key":"9421_CR8","unstructured":"Iturrioz, L., Rough sets and three-valued structures, in E. Or\u0142owska (ed.), Logic at Work: Essays Dedicated to the Memory of Helena Rasiowa, Physica-Verlag, Heidelberg, 1999, pp. 596\u2013603."},{"key":"9421_CR9","doi-asserted-by":"crossref","unstructured":"J\u00e4rvinen, J., Lattice theory for rough sets, Transactions on Rough Sets VI:400\u2013498, 2007.","DOI":"10.1007\/978-3-540-71200-8_22"},{"key":"9421_CR10","unstructured":"J\u00e4rvinen, J., P. Pagliani, and S. Radeleczki, Atomic information completeness in generalised rough set systems, Extended Abstracs of the 3rd International Workshop on Rough Set Theory (RST11) 14\u201316 September 2011, Milano, Italy."},{"key":"9421_CR11","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/s00012-011-0149-9","volume":"66","author":"J. J\u00e4rvinen","year":"2011","unstructured":"J\u00e4rvinen J., Radeleczki S.: Representation of Nelson algebras by rough sets determined by quasiorders. Algebra Universalis 66, 163\u2013179 (2011)","journal-title":"Algebra Universalis"},{"key":"9421_CR12","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1007\/s11083-009-9130-z","volume":"26","author":"J. J\u00e4rvinen","year":"2009","unstructured":"J\u00e4rvinen J., Radeleczki S., Veres L.: Rough sets determined by quasiorders. Order 26, 337\u2013355 (2009)","journal-title":"Order"},{"key":"9421_CR13","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1007\/BF01988049","volume":"3","author":"G. Kreisel","year":"1957","unstructured":"Kreisel G., Putnam H.: Eine unableitbarkeitsbeweismethode f\u00fcr den Intuitionistischen Aussegenkalk\u00fcl. Archiv f\u00fcr Mathematische Logik und Grundlagenferschung 3, 74\u201378 (1957)","journal-title":"Archiv f\u00fcr Mathematische Logik und Grundlagenferschung"},{"key":"9421_CR14","unstructured":"Medvedev, Y. T., Finite problems, Soviet Mathematics, Doklady 3:227\u2013230, 1962 (Doklady Academii Nauk SSSR 142:1015\u20131018, 1962, in Russian)."},{"key":"9421_CR15","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1305\/ndjfl\/1093635238","volume":"30","author":"P. Miglioli","year":"1989","unstructured":"Miglioli P., Moscato U., Ornaghi M., Quazza S., Usberti G.: Some results on intermediate constructive logics. Notre Dame Journal of Formal Logic 30, 543\u2013562 (1989)","journal-title":"Notre Dame Journal of Formal Logic"},{"key":"9421_CR16","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1305\/ndjfl\/1093634996","volume":"30","author":"P. Miglioli","year":"1989","unstructured":"Miglioli P., Moscato U., Ornaghi M., Usberti G.: A constructivism based on classical truth. Notre Dame Journal of Formal Logic 30, 67\u201390 (1989)","journal-title":"Notre Dame Journal of Formal Logic"},{"key":"9421_CR17","doi-asserted-by":"crossref","unstructured":"Nagarajan, E., and D. Umadevi, A method of representing rough sets system determined by quasi orders, Order in print. doi: 10.1007\/s11083-011-9245-x .","DOI":"10.1007\/s11083-011-9245-x"},{"key":"9421_CR18","doi-asserted-by":"crossref","first-page":"16","DOI":"10.2307\/2268973","volume":"14","author":"D. Nelson","year":"1949","unstructured":"Nelson D.: Constructible falsity. Journal of Symbolic Logic 14, 16\u201326 (1949)","journal-title":"Journal of Symbolic Logic"},{"key":"9421_CR19","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1305\/ndjfl\/1093635588","volume":"31","author":"P. Pagliani","year":"1990","unstructured":"Pagliani P.: Remarks on special lattices and related constructive logics with strong negation. Notre Dame Journal of Formal Logic 31, 515\u2013528 (1990)","journal-title":"Notre Dame Journal of Formal Logic"},{"key":"9421_CR20","doi-asserted-by":"crossref","unstructured":"Pagliani, P., A pure logic-algebraic analysis of rough top and rough bottom equalities, in Proceedings of the International Conference on Rough Sets and Knowledge Discovery, Banff, 1993, pp. 227\u2013236.","DOI":"10.1007\/978-1-4471-3238-7_27"},{"key":"9421_CR21","doi-asserted-by":"crossref","first-page":"205","DOI":"10.3233\/FI-1996-272308","volume":"27","author":"P. Pagliani","year":"1996","unstructured":"Pagliani P.: Rough sets and Nelson algebras. Fundamenta Informaticae 27, 205\u2013219 (1996)","journal-title":"Fundamenta Informaticae"},{"key":"9421_CR22","doi-asserted-by":"crossref","unstructured":"Pagliani, P., Rough set systems and logic-algebraic structures, in E. Or\u0142owska (ed.), Incomplete Information: Rough Set Analysis, Physica-Verlag, Heidelberg, 1998, pp. 109\u2013190.","DOI":"10.1007\/978-3-7908-1888-8_6"},{"key":"9421_CR23","volume-title":"A Geometry of Approximation, Rough Set Theory, Logic, Algebra and Topology of Conceptual Patterns","author":"P. Pagliani","year":"2008","unstructured":"Pagliani P., Chakraborty M.: A Geometry of Approximation, Rough Set Theory, Logic, Algebra and Topology of Conceptual Patterns. Springer, Heidelberg (2008)"},{"key":"9421_CR24","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z. Pawlak","year":"1982","unstructured":"Pawlak Z.: Rough sets. International Journal of Computer and Information Sciences 11, 341\u2013356 (1982)","journal-title":"International Journal of Computer and Information Sciences"},{"key":"9421_CR25","volume-title":"An Algebraic Approach to Non-classical Logics","author":"H. Rasiowa","year":"1974","unstructured":"Rasiowa H.: An Algebraic Approach to Non-classical Logics. North-Holland, Amsterdam (1974)"},{"key":"9421_CR26","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/BF00401557","volume":"49","author":"A. Sendlewski","year":"1990","unstructured":"Sendlewski A.: Nelson algebras through Heyting ones I. Studia Logica 49, 105\u2013126 (1990)","journal-title":"Studia Logica"},{"key":"9421_CR27","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1112\/S002557930000259X","volume":"15","author":"A.H. Stone","year":"1968","unstructured":"Stone A.H.: On partitioning ordered sets into cofinal subsets. Mathematika 15, 217\u2013222 (1968)","journal-title":"Mathematika"},{"key":"9421_CR28","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/BF02121118","volume":"36","author":"D. Vakarelov","year":"1977","unstructured":"Vakarelov D.: Notes on N-lattices and constructive logic with strong negation. Studia Logica 36, 109\u2013125 (1977)","journal-title":"Studia Logica"},{"key":"9421_CR29","volume-title":"Topology Via Logic","author":"S. Vickers","year":"1989","unstructured":"Vickers S.: Topology Via Logic. Cambridge University Press, Cambridge (1989)"}],"container-title":["Studia Logica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11225-012-9421-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11225-012-9421-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11225-012-9421-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,14]],"date-time":"2020-07-14T17:02:27Z","timestamp":1594746147000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11225-012-9421-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10,11]]},"references-count":29,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2013,10]]}},"alternative-id":["9421"],"URL":"https:\/\/doi.org\/10.1007\/s11225-012-9421-z","relation":{},"ISSN":["0039-3215","1572-8730"],"issn-type":[{"value":"0039-3215","type":"print"},{"value":"1572-8730","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,10,11]]}}}