{"id":"https://openalex.org/W2231733070","doi":"https://doi.org/10.1142/s0218488515500142","title":"Continuous Representability of Interval Orders: The Topological Compatibility Setting","display_name":"Continuous Representability of Interval Orders: The Topological Compatibility Setting","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W2231733070","doi":"https://doi.org/10.1142/s0218488515500142","mag":"2231733070"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488515500142","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488515500142","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arts.units.it/bitstream/11368/2846707/2/IJUFKS%20Bosi%20et%20al.%20%28%23560319.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057342805","display_name":"Gianni Bosi","orcid":"https://orcid.org/0000-0002-3799-4630"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Bosi","raw_affiliation_strings":["Dipartimento de Scienze Economiche, Aziendali, Mathematiche e Statistiche Universit\u00e0 degli Studi di Trieste, Piazzale Europa 1, I-34127, Trieste, Italia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento de Scienze Economiche, Aziendali, Mathematiche e Statistiche Universit\u00e0 degli Studi di Trieste, Piazzale Europa 1, I-34127, Trieste, Italia","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001220242","display_name":"Asier Estevan","orcid":"https://orcid.org/0000-0002-8822-2438"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad P\u00fablica de Navarra (UPNA)","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Estevan","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad P\u00fablica de Navarra, Campus Arrosad\u00eda, Pamplona, 31006, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad P\u00fablica de Navarra, Campus Arrosad\u00eda, Pamplona, 31006, Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047904055","display_name":"Javier Guti\u00e9rrez Garc\u00eda","orcid":"https://orcid.org/0000-0002-2904-7801"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Guti\u00e9rrez Garc\u00eda","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad del Pa\u00eds Vasco UPV/EHU, Apdo. 644, Bilbao, 48080, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad del Pa\u00eds Vasco UPV/EHU, Apdo. 644, Bilbao, 48080, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067214242","display_name":"Esteban Indur\u00e1in","orcid":"https://orcid.org/0000-0002-1511-5658"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad P\u00fablica de Navarra (UPNA)","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"E. Indur\u00e1in","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad P\u00fablica de Navarra, Campus Arrosad\u00eda, Pamplona, 31006, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad P\u00fablica de Navarra, Campus Arrosad\u00eda, Pamplona, 31006, Spain","institution_ids":["https://openalex.org/I175051016"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.045,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.88373124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"23","issue":"03","first_page":"345","last_page":"365"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9836999773979187,"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"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/interval","display_name":"Interval (graph theory)","score":0.7041513919830322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7034549713134766},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5866366028785706},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.5616459250450134},{"id":"https://openalex.org/keywords/compatibility","display_name":"Compatibility (geochemistry)","score":0.5081686973571777},{"id":"https://openalex.org/keywords/connected-space","display_name":"Connected space","score":0.4304893910884857},{"id":"https://openalex.org/keywords/topological-group","display_name":"Topological group","score":0.4179965555667877},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35405588150024414},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3210495114326477},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20778995752334595}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7041513919830322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7034549713134766},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5866366028785706},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.5616459250450134},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.5081686973571777},{"id":"https://openalex.org/C24977911","wikidata":"https://www.wikidata.org/wiki/Q1491995","display_name":"Connected space","level":3,"score":0.4304893910884857},{"id":"https://openalex.org/C96386209","wikidata":"https://www.wikidata.org/wiki/Q1046291","display_name":"Topological group","level":3,"score":0.4179965555667877},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35405588150024414},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3210495114326477},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20778995752334595},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C17409809","wikidata":"https://www.wikidata.org/wiki/Q161764","display_name":"Geochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218488515500142","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488515500142","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},{"id":"pmh:oai:arts.units.it:11368/2846707","is_oa":true,"landing_page_url":"http://hdl.handle.net/11368/2846707","pdf_url":"https://arts.units.it/bitstream/11368/2846707/2/IJUFKS%20Bosi%20et%20al.%20%28%23560319.pdf","source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arts.units.it:11368/2846707","is_oa":true,"landing_page_url":"http://hdl.handle.net/11368/2846707","pdf_url":"https://arts.units.it/bitstream/11368/2846707/2/IJUFKS%20Bosi%20et%20al.%20%28%23560319.pdf","source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1161238273","display_name":null,"funder_award_id":"MTM2012-37894-C02-02","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G189328725","display_name":null,"funder_award_id":"UFI11/52","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G2096301654","display_name":null,"funder_award_id":"MTM2012-37894-C02-02","funder_id":"https://openalex.org/F4320321919","funder_display_name":"Euskal Herriko Unibertsitatea"},{"id":"https://openalex.org/G6580239619","display_name":null,"funder_award_id":"UFI11/52","funder_id":"https://openalex.org/F4320321919","funder_display_name":"Euskal Herriko Unibertsitatea"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320321919","display_name":"Euskal Herriko Unibertsitatea","ror":"https://ror.org/000xsnr85"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2231733070.pdf","grobid_xml":"https://content.openalex.org/works/W2231733070.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W50569743","https://openalex.org/W333515527","https://openalex.org/W1512208169","https://openalex.org/W1662659233","https://openalex.org/W1964105961","https://openalex.org/W1978730176","https://openalex.org/W1978998919","https://openalex.org/W1980971135","https://openalex.org/W1984693264","https://openalex.org/W1989511542","https://openalex.org/W1992416055","https://openalex.org/W2002393515","https://openalex.org/W2002917235","https://openalex.org/W2003474786","https://openalex.org/W2006831047","https://openalex.org/W2008560175","https://openalex.org/W2013015682","https://openalex.org/W2020218680","https://openalex.org/W2020950602","https://openalex.org/W2021339822","https://openalex.org/W2028391744","https://openalex.org/W2034637506","https://openalex.org/W2038039012","https://openalex.org/W2038052461","https://openalex.org/W2038991716","https://openalex.org/W2050354655","https://openalex.org/W2060009464","https://openalex.org/W2076308462","https://openalex.org/W2081036871","https://openalex.org/W2084023542","https://openalex.org/W2087833537","https://openalex.org/W2094315959","https://openalex.org/W2108143285","https://openalex.org/W2124046639","https://openalex.org/W2127373277","https://openalex.org/W2142497609","https://openalex.org/W2145897424","https://openalex.org/W2318064754","https://openalex.org/W2515491167","https://openalex.org/W4241642048","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3096866535","https://openalex.org/W1568599732","https://openalex.org/W3211567722","https://openalex.org/W2388525343","https://openalex.org/W4295989309","https://openalex.org/W2316140067","https://openalex.org/W3193830779","https://openalex.org/W2375255986","https://openalex.org/W4311784920","https://openalex.org/W1468105164"],"abstract_inverted_index":{"In":[0],"this":[1,46],"paper,":[2],"we":[3],"go":[4],"further":[5],"on":[6,18,95],"the":[7,10,27,31,35,71,88],"problem":[8],"of":[9,14,24,38,61,74,91,99],"continuous":[11,54,62,72],"numerical":[12],"representability":[13,73],"interval":[15,40,55,75,92],"orders":[16,76,93],"defined":[17,94],"topological":[19,97],"spaces.":[20],"A":[21],"new":[22],"condition":[23,47],"compatibility":[25],"between":[26],"given":[28],"topology":[29],"and":[30,67],"indifference":[32],"associated":[33],"to":[34],"main":[36],"trace":[37],"an":[39],"order":[41,56],"is":[42,48,85],"introduced.":[43],"Provided":[44],"that":[45],"fulfilled,":[49],"a":[50,53,59,83,96],"semiorder":[51],"has":[52],"representation":[57],"through":[58],"pair":[60],"real-valued":[63],"functions.":[64],"Other":[65],"necessary":[66],"sufficient":[68],"conditions":[69],"for":[70,87],"are":[77],"also":[78],"discussed,":[79],"and,":[80],"in":[81],"particular,":[82],"characterization":[84],"achieved":[86],"particular":[89],"case":[90],"space":[98],"finite":[100],"support.":[101]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
