{"id":"https://openalex.org/W2166982704","doi":"https://doi.org/10.1007/978-3-642-03281-3_2","title":"Information Entropy and Granulation Co\u2013Entropy of Partitions and Coverings: A Summary","display_name":"Information Entropy and Granulation Co\u2013Entropy of Partitions and Coverings: A Summary","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2166982704","doi":"https://doi.org/10.1007/978-3-642-03281-3_2","mag":"2166982704"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03281-3_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03281-3_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059792242","display_name":"Daniela Bianucci","orcid":null},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Daniela Bianucci","raw_affiliation_strings":["Dipartimento di Informatica, Sistemistica e Comunicazione, Universit\u00e0 di Milano \u2013 Bicocca, Viale Sarca 336/U14, I\u201320126, Milano, Italia"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Sistemistica e Comunicazione, Universit\u00e0 di Milano \u2013 Bicocca, Viale Sarca 336/U14, I\u201320126, Milano, Italia","institution_ids":["https://openalex.org/I66752286"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105420991","display_name":"Gianpiero Cattaneo","orcid":null},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianpiero Cattaneo","raw_affiliation_strings":["Dipartimento di Informatica, Sistemistica e Comunicazione, Universit\u00e0 di Milano \u2013 Bicocca, Viale Sarca 336/U14, I\u201320126, Milano, Italia"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Sistemistica e Comunicazione, Universit\u00e0 di Milano \u2013 Bicocca, Viale Sarca 336/U14, I\u201320126, Milano, Italia","institution_ids":["https://openalex.org/I66752286"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059792242"],"corresponding_institution_ids":["https://openalex.org/I66752286"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.261,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.96595832,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"15","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9232000112533569,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5753559470176697},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5607086420059204},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5201335549354553},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5059894919395447},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37782782316207886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36566993594169617},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1193031370639801},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10406333208084106},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07854089140892029}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5753559470176697},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5607086420059204},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5201335549354553},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5059894919395447},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37782782316207886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36566993594169617},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1193031370639801},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10406333208084106},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07854089140892029}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-03281-3_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03281-3_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W88431461","https://openalex.org/W169049994","https://openalex.org/W1487023522","https://openalex.org/W1532395822","https://openalex.org/W1545744341","https://openalex.org/W1547210135","https://openalex.org/W1557923305","https://openalex.org/W1592307260","https://openalex.org/W1719800456","https://openalex.org/W1811696125","https://openalex.org/W1856348812","https://openalex.org/W1995875735","https://openalex.org/W2000158142","https://openalex.org/W2019254124","https://openalex.org/W2035567190","https://openalex.org/W2039365369","https://openalex.org/W2077483353","https://openalex.org/W2087171258","https://openalex.org/W2092179332","https://openalex.org/W2095290023","https://openalex.org/W2097498222","https://openalex.org/W2116509046","https://openalex.org/W2131323062","https://openalex.org/W2159977619","https://openalex.org/W2244247816","https://openalex.org/W2307489124","https://openalex.org/W2382278777","https://openalex.org/W2500062327","https://openalex.org/W2619610413","https://openalex.org/W2947000318","https://openalex.org/W4232953319","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2077314575","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W2142036596"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
