{"id":"https://openalex.org/W2115986989","doi":"https://doi.org/10.1007/3-540-45424-1_3","title":"A Taxonomy of Granular Partitions","display_name":"A Taxonomy of Granular Partitions","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2115986989","doi":"https://doi.org/10.1007/3-540-45424-1_3","mag":"2115986989"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45424-1_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45424-1_3","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":"conference-paper","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/A5034752274","display_name":"Thomas Bittner","orcid":"https://orcid.org/0000-0003-4204-1532"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Bittner","raw_affiliation_strings":["Qualitative Reasoning Group, Department of Computer Science, Northwestern University, USA","Northwestern University****"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Qualitative Reasoning Group, Department of Computer Science, Northwestern University, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051216244","display_name":"Barry Smith","orcid":"https://orcid.org/0000-0003-1384-116X"},"institutions":[{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]},{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Barry Smith","raw_affiliation_strings":["Department of Philosophy, Center for Cognitive Science and NCGIA, State University of New York, Buffalo, USA","State University of New York ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Center for Cognitive Science and NCGIA, State University of New York, Buffalo, USA","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"State University of New York ,","institution_ids":["https://openalex.org/I1327163397"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"28","last_page":"43"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10757","display_name":"Geographic Information Systems Studies","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10757","display_name":"Geographic Information Systems Studies","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mereology","display_name":"Mereology","score":0.7232623100280762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6751457452774048},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6531850099563599},{"id":"https://openalex.org/keywords/granular-computing","display_name":"Granular computing","score":0.6028002500534058},{"id":"https://openalex.org/keywords/geospatial-analysis","display_name":"Geospatial analysis","score":0.6013027429580688},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4713033139705658},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4689238667488098},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32524213194847107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26148688793182373},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.214339017868042},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.151953786611557},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.13673734664916992},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.11897620558738708}],"concepts":[{"id":"https://openalex.org/C152385842","wikidata":"https://www.wikidata.org/wiki/Q1194916","display_name":"Mereology","level":2,"score":0.7232623100280762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6751457452774048},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6531850099563599},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.6028002500534058},{"id":"https://openalex.org/C9770341","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Geospatial analysis","level":2,"score":0.6013027429580688},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4713033139705658},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4689238667488098},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32524213194847107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26148688793182373},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.214339017868042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.151953786611557},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.13673734664916992},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.11897620558738708},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/3-540-45424-1_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45424-1_3","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.21.1781","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.21.1781","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.northwestern.edu/~bittner/tp.pdf","raw_type":"text"},{"id":"pmh:oai:philarchive.org/rec/SMIATO-9","is_oa":false,"landing_page_url":"https://philarchive.org/rec/SMIATO-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306402130","display_name":"PhilPapers (PhilPapers Foundation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:philpapers.org/rec/SMIATO-9","is_oa":false,"landing_page_url":"https://philpapers.org/rec/SMIATO-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306402131","display_name":"PhilPapers (PhilPapers Foundation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W143199027","https://openalex.org/W606831423","https://openalex.org/W760437887","https://openalex.org/W767028520","https://openalex.org/W1524409986","https://openalex.org/W1531373288","https://openalex.org/W1542067893","https://openalex.org/W1586773043","https://openalex.org/W1601893258","https://openalex.org/W2020242774","https://openalex.org/W2029938764","https://openalex.org/W2074231115","https://openalex.org/W2080293785","https://openalex.org/W2106361952","https://openalex.org/W2106699157","https://openalex.org/W2113795209","https://openalex.org/W2121227578","https://openalex.org/W2135313830","https://openalex.org/W2154870128","https://openalex.org/W2167087873","https://openalex.org/W2184294498","https://openalex.org/W2490400851","https://openalex.org/W2809950381","https://openalex.org/W2912068123","https://openalex.org/W2914342066","https://openalex.org/W3090821557","https://openalex.org/W4249161580","https://openalex.org/W4298300174","https://openalex.org/W6684355628","https://openalex.org/W7075707072"],"related_works":["https://openalex.org/W2011290818","https://openalex.org/W4255558704","https://openalex.org/W2396144055","https://openalex.org/W2040172742","https://openalex.org/W3143799744","https://openalex.org/W1522726980","https://openalex.org/W1592959023","https://openalex.org/W4234734477","https://openalex.org/W1601873141","https://openalex.org/W2095731367"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}