{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,30]],"date-time":"2026-05-30T17:04:05Z","timestamp":1780160645238,"version":"3.54.0"},"publisher-location":"Berlin, Heidelberg","reference-count":17,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540797203","type":"print"},{"value":"9783540797210","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-79721-0_51","type":"book-chapter","created":{"date-parts":[[2008,5,12]],"date-time":"2008-05-12T14:22:49Z","timestamp":1210602169000},"page":"363-370","source":"Crossref","is-referenced-by-count":4,"title":["A Hierarchical Lattice Closure Approach to Abstract Rough Approximation Spaces"],"prefix":"10.1007","author":[{"given":"Gianpiero","family":"Cattaneo","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Davide","family":"Ciucci","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"51_CR1","unstructured":"Birkhoff, G.: Lattice theory, 3 ed., American Mathematical Society Colloquium Publication, vol. XXV, American Mathematical Society, Providence, Rhode Island (1967) (first edition 1940, second (revisited) edition 1948)"},{"key":"51_CR2","first-page":"59","volume-title":"Rough Sets in Knowledge Discovery, New York","author":"G. Cattaneo","year":"1998","unstructured":"Cattaneo, G.: Abstract approximation spaces for rough theories. In: Polkowski, L., Skowron, A. (eds.) Rough Sets in Knowledge Discovery, New York, pp. 59\u201398. Physica\u2013Verlag, Heidelberg (1998)"},{"key":"51_CR3","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1007\/11795131_40","volume-title":"Rough Sets and Knowledge Technology","author":"G. Cattaneo","year":"2006","unstructured":"Cattaneo, G., Ciucci, D.: Some Methodological Remarks About Categorical Equivalences in the Abstract Approach to Roughness \u2013 Part I. In: Wang, G.-Y., Peters, J.F., Skowron, A., Yao, Y. (eds.) RSKT 2006. LNCS (LNAI), vol.\u00a04062, pp. 277\u2013283. Springer, Heidelberg (2006)"},{"key":"51_CR4","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"284","DOI":"10.1007\/11795131_41","volume-title":"Rough Sets and Knowledge Technology","author":"G. Cattaneo","year":"2006","unstructured":"Cattaneo, G., Ciucci, D.: Some Methodological Remarks About Categorical Equivalences in the Abstract Approach to Roughness \u2013 Part II. In: Wang, G.-Y., Peters, J.F., Skowron, A., Yao, Y. (eds.) RSKT 2006. LNCS (LNAI), vol.\u00a04062, pp. 284\u2013289. Springer, Heidelberg (2006)"},{"key":"51_CR5","doi-asserted-by":"publisher","first-page":"363","DOI":"10.2307\/2309396","volume":"53","author":"P.R. Halmos","year":"1956","unstructured":"Halmos, P.R.: The basic concepts of algebraic logic. American Mathematical Monthly\u00a053, 363\u2013387 (1956)","journal-title":"American Mathematical Monthly"},{"key":"51_CR6","volume-title":"Algebraic logic","author":"P.R. Halmos","year":"1962","unstructured":"Halmos, P.R.: Algebraic logic. Chelsea Pub.\u00a0Co., New York (1962)"},{"key":"51_CR7","doi-asserted-by":"crossref","first-page":"182","DOI":"10.4064\/fm-3-1-182-199","volume":"3","author":"C. Kuratowski","year":"1922","unstructured":"Kuratowski, C.: Sur l\u2019op\u00e9ration \n                    \n                      \n                    \n                    $\\bar A$\n                   de l\u2019analysis situs. Fundamenta Mathematicae\u00a03, 182\u2013199 (1922)","journal-title":"Fundamenta Mathematicae"},{"key":"51_CR8","volume-title":"General topology","author":"J.L. Kelley","year":"1955","unstructured":"Kelley, J.L.: General topology. Springer, New York (1955) (second edition 1957 by Van Nostrand)"},{"key":"51_CR9","unstructured":"Kelley, J.L.: Topologie. I, Monografie Matematyczne, Warszawa (1933) (Other editions 1948 and 1958)"},{"key":"51_CR10","unstructured":"Kelley, J.L.: Topologie. II, Monografie Matematyczne, Warszawa, (1961)"},{"key":"51_CR11","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1016\/0306-4379(81)90023-5","volume":"6","author":"Z. Pawlak","year":"1981","unstructured":"Pawlak, Z.: Information systems - theoretical foundations. Information Systems\u00a06, 205\u2013218 (1981)","journal-title":"Information Systems"},{"key":"51_CR12","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z. Pawlak","year":"1982","unstructured":"Pawlak, Z.: Rough sets. Int. J. of Computer and Information Sciences\u00a011, 341\u2013356 (1982)","journal-title":"Int. J. of Computer and Information Sciences"},{"key":"51_CR13","first-page":"105","volume-title":"Fuzzy Logic for the Management of Uncertainty","author":"Z. Pawlak","year":"1992","unstructured":"Pawlak, Z.: Rough sets: A new approach to vagueness. In: Zadeh, L.A., Kacprzyc, J. (eds.) Fuzzy Logic for the Management of Uncertainty, pp. 105\u2013118. J. Wiley and Sons, New York (1992)"},{"key":"51_CR14","volume-title":"Monografie Matematyczne","author":"H. Rasiowa","year":"1970","unstructured":"Rasiowa, H., Sikorski, R.: The mathematics of metamathematics. In: Rasiowa, H., Sikorski, R. (eds.) Monografie Matematyczne, 3rd edn., vol.\u00a041, Polish Scientific Publishers, Warszawa (1970)","edition":"3"},{"key":"51_CR15","volume-title":"Topology and modern analysis","author":"G.F. Simmons","year":"1963","unstructured":"Simmons, G.F.: Topology and modern analysis. McGraw-Hill Book Company Inc., New York (1963)"},{"key":"51_CR16","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1007\/BF01696782","volume":"37","author":"A. Tarski","year":"1930","unstructured":"Tarski, A.: Fundamentale Begriffe der Methodologie der deduktiven Wissennschaften. I, Monathshefte fur Mathematik und Physik\u00a037, 361\u2013404 (English version in [17]) (1930)","journal-title":"I, Monathshefte fur Mathematik und Physik"},{"key":"51_CR17","unstructured":"Tarski, A.: Logic, semantics, metamathematics, Hackett, Indianapolis (1983) (Second Edition\u2013First Edition, 1956 by Oxford)"}],"container-title":["Lecture Notes in Computer Science","Rough Sets and Knowledge Technology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-79721-0_51.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T11:29:35Z","timestamp":1619522975000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-79721-0_51"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540797203","9783540797210"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-79721-0_51","relation":{},"subject":[]}}