{"id":"https://openalex.org/W2799742951","doi":"https://doi.org/10.1142/s0218488518500228","title":"Partial Representations of Orderings","display_name":"Partial Representations of Orderings","publication_year":2018,"publication_date":"2018-05-09","ids":{"openalex":"https://openalex.org/W2799742951","doi":"https://doi.org/10.1142/s0218488518500228","mag":"2799742951"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488518500228","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488518500228","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2401.13383","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":true,"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 Publica de Navarra","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":"https://orcid.org/0000-0002-8822-2438","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":"last","author":{"id":"https://openalex.org/A5018665040","display_name":"Magal\u00ec Zuanon","orcid":"https://orcid.org/0000-0001-9311-6325"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Zuanon","raw_affiliation_strings":["Dipartimento di Economia e Management, Universit\u00e0 degli Studi di Brescia, Contrada Santa Chiara 50, 25122 Brescia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Economia e Management, Universit\u00e0 degli Studi di Brescia, Contrada Santa Chiara 50, 25122 Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057342805"],"corresponding_institution_ids":["https://openalex.org/I142444530"],"apc_list":null,"apc_paid":null,"fwci":1.2895,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8201374,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"26","issue":"03","first_page":"453","last_page":"473"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9958999752998352,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9958999752998352,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9919999837875366,"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"}},{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9901999831199646,"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/partial-function","display_name":"Partial function","score":0.7823047637939453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49106454849243164},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4409753680229187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4404875934123993},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3467555642127991},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2669200897216797},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22125554084777832}],"concepts":[{"id":"https://openalex.org/C182359184","wikidata":"https://www.wikidata.org/wiki/Q1756942","display_name":"Partial function","level":2,"score":0.7823047637939453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49106454849243164},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4409753680229187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4404875934123993},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3467555642127991},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2669200897216797},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22125554084777832}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1142/s0218488518500228","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488518500228","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:arXiv.org:2401.13383","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2401.13383","pdf_url":"https://arxiv.org/pdf/2401.13383","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:academica-e.unavarra.es:2454/38621","is_oa":true,"landing_page_url":"https://hdl.handle.net/2454/38621","pdf_url":"https://academica-e.unavarra.es/bitstreams/c5fc436e-8e04-4837-8539-86805d1bf2f8/download","source":{"id":"https://openalex.org/S4306402560","display_name":"Academica-e (Universidad P\u00fablica de Navarra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I175051016","host_organization_name":"Universidad Publica de Navarra","host_organization_lineage":["https://openalex.org/I175051016"],"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/acceptedVersion"},{"id":"pmh:oai:arts.units.it:11368/2926215","is_oa":true,"landing_page_url":"http://hdl.handle.net/11368/2926215","pdf_url":"https://arts.units.it/bitstream/11368/2926215/1/BosiEstevanZuanonIJUFKAccepted.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"},{"id":"pmh:oai:iris.unibs.it:11379/508148","is_oa":false,"landing_page_url":"https://www.worldscientific.com/doi/abs/10.1142/S0218488518500228","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2401.13383","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2401.13383","pdf_url":"https://arxiv.org/pdf/2401.13383","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.4099999964237213,"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/G1182311425","display_name":null,"funder_award_id":"ECO2015-65031","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G3228134050","display_name":null,"funder_award_id":"MTM2015-63608-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G3825852721","display_name":null,"funder_award_id":"MTM2012","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G6713566145","display_name":null,"funder_award_id":"IT974-16","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G8068774432","display_name":null,"funder_award_id":"MTM2015","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320321705","display_name":"Eusko Jaurlaritza","ror":"https://ror.org/00pz2fp31"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2799742951.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W16677277","https://openalex.org/W424802240","https://openalex.org/W828124349","https://openalex.org/W1512208169","https://openalex.org/W1968524630","https://openalex.org/W1969317757","https://openalex.org/W1978730176","https://openalex.org/W1980971135","https://openalex.org/W2002917235","https://openalex.org/W2016419067","https://openalex.org/W2038039012","https://openalex.org/W2038902893","https://openalex.org/W2053478292","https://openalex.org/W2072483141","https://openalex.org/W2076308462","https://openalex.org/W2091590079","https://openalex.org/W2093397547","https://openalex.org/W2105199260","https://openalex.org/W2109691981","https://openalex.org/W2124046639","https://openalex.org/W2145897424","https://openalex.org/W2146271262","https://openalex.org/W2177509960","https://openalex.org/W2231733070","https://openalex.org/W2318064754","https://openalex.org/W2333548830","https://openalex.org/W2509100468","https://openalex.org/W2527338217","https://openalex.org/W2606759692","https://openalex.org/W3137220996","https://openalex.org/W4205688247","https://openalex.org/W4235002908"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2003378366"],"abstract_inverted_index":{"In":[0],"the":[1,31,34,44,76,93,102,115],"present":[2],"paper":[3,83],"a":[4,86],"new":[5,45],"concept":[6,46],"of":[7,47,53,61,88,95,98,104,120],"representability":[8,48,62],"is":[9,49],"introduced,":[10],"which":[11,75],"can":[12],"be":[13],"applied":[14],"to":[15,20,29],"not":[16],"total":[17],"and":[18,90,107],"also":[19,84],"intransitive":[21],"relations":[22],"(semiorders":[23],"in":[24,33,74,101],"particular).":[25],"This":[26],"idea":[27],"tries":[28],"represent":[30],"orderings":[32],"simplest":[35],"manner,":[36],"avoiding":[37],"any":[38],"unnecessary":[39],"information.":[40],"For":[41],"this":[42,96],"purpose,":[43],"developed":[50],"by":[51],"means":[52],"partial":[54,77,105],"functions,":[55],"so":[56],"that":[57],"other":[58],"common":[59],"definitions":[60],"(i.e.":[63],"(Richter-Peleg)":[64],"multi-utility,":[65],"Scott-Suppes":[66],"representability,":[67],"\u2026":[68],")":[69],"are":[70,79],"now":[71],"particular":[72],"cases":[73],"functions":[78],"actually":[80],"functions.":[81],"The":[82],"presents":[85],"collection":[87],"examples":[89],"propositions":[91],"showing":[92,114],"advantages":[94],"kind":[97],"representations,":[99],"particularly":[100],"case":[103],"orders":[106],"semiorders,":[108],"as":[109,111],"well":[110],"some":[112],"results":[113],"connections":[116],"between":[117],"distinct":[118],"kinds":[119],"representations.":[121]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
