{"id":"https://openalex.org/W1980952700","doi":"https://doi.org/10.1016/s0166-218x(01)00354-7","title":"Pyramids and weak hierarchies in the ordinal model for clustering","display_name":"Pyramids and weak hierarchies in the ordinal model for clustering","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W1980952700","doi":"https://doi.org/10.1016/s0166-218x(01)00354-7","mag":"1980952700"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(01)00354-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(01)00354-7","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://basepub.dauphine.fr/handle/123456789/2050","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082924527","display_name":"Patrice Bertrand","orcid":"https://orcid.org/0000-0002-2394-2071"},"institutions":[{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"P. Bertrand","raw_affiliation_strings":["Universit\u00e9 Paris-Dauphine, Ceremade, Place du Mar\u00e9chal De Lattre de Tassigny, 75 775 Paris Cedex 16, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Dauphine, Ceremade, Place du Mar\u00e9chal De Lattre de Tassigny, 75 775 Paris Cedex 16, France","institution_ids":["https://openalex.org/I56435720"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056194183","display_name":"M. F. Janowitz","orcid":"https://orcid.org/0009-0001-6408-4085"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M.F. Janowitz","raw_affiliation_strings":["DIMACS, Rutgers, The State University, 96 Frelinghuysen Road, Piscataway, NJ#TAB#"],"affiliations":[{"raw_affiliation_string":"DIMACS, Rutgers, The State University, 96 Frelinghuysen Road, Piscataway, NJ#TAB#","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082924527"],"corresponding_institution_ids":["https://openalex.org/I56435720"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.6999,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.67420175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"122","issue":"1-3","first_page":"55","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9879999756813049,"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":0.9879999756813049,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.880194902420044},{"id":"https://openalex.org/keywords/bijection-injection-and-surjection","display_name":"Bijection, injection and surjection","score":0.781678318977356},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5674729347229004},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5124192833900452},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.4593745470046997},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4509900212287903},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3400968313217163},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16919302940368652},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.14603668451309204}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.880194902420044},{"id":"https://openalex.org/C48659774","wikidata":"https://www.wikidata.org/wiki/Q4907197","display_name":"Bijection, injection and surjection","level":3,"score":0.781678318977356},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5674729347229004},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5124192833900452},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.4593745470046997},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4509900212287903},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3400968313217163},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16919302940368652},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.14603668451309204},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0166-218x(01)00354-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(01)00354-7","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:basepub.dauphine.fr:123456789/2050","is_oa":true,"landing_page_url":"https://basepub.dauphine.fr/handle/123456789/2050","pdf_url":null,"source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article accept\u00e9 pour publication ou publi\u00e9"}],"best_oa_location":{"id":"pmh:oai:basepub.dauphine.fr:123456789/2050","is_oa":true,"landing_page_url":"https://basepub.dauphine.fr/handle/123456789/2050","pdf_url":null,"source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article accept\u00e9 pour publication ou publi\u00e9"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7599999904632568}],"awards":[],"funders":[{"id":"https://openalex.org/F4320313934","display_name":"Institut national de recherche en informatique et en automatique (INRIA)","ror":"https://ror.org/02kvxyf05"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W195339888","https://openalex.org/W856490712","https://openalex.org/W1492252422","https://openalex.org/W1510063698","https://openalex.org/W1971784203","https://openalex.org/W1994227420","https://openalex.org/W1998871699","https://openalex.org/W2007995029","https://openalex.org/W2037744768","https://openalex.org/W2052337727","https://openalex.org/W2057082128","https://openalex.org/W2069721345","https://openalex.org/W2084049775","https://openalex.org/W2086697607","https://openalex.org/W2094882460","https://openalex.org/W2114361441","https://openalex.org/W2312474531","https://openalex.org/W2317442797","https://openalex.org/W2318980888","https://openalex.org/W2319660501","https://openalex.org/W2463685672","https://openalex.org/W2521340661","https://openalex.org/W3210491208","https://openalex.org/W4236155230","https://openalex.org/W4285719527","https://openalex.org/W6605268149","https://openalex.org/W6607987096","https://openalex.org/W6649228433","https://openalex.org/W6718902421","https://openalex.org/W7075628049"],"related_works":["https://openalex.org/W1991467510","https://openalex.org/W2952277453","https://openalex.org/W2952259524","https://openalex.org/W4286233230","https://openalex.org/W1669060173","https://openalex.org/W2160566290","https://openalex.org/W1986815418","https://openalex.org/W3036035571","https://openalex.org/W3196177307","https://openalex.org/W1994661605"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}