{"id":"https://openalex.org/W2061202913","doi":"https://doi.org/10.1016/s0895-7177(03)00118-3","title":"Negative priorities in the analytic hierarchy process","display_name":"Negative priorities in the analytic hierarchy process","publication_year":2003,"publication_date":"2003-05-01","ids":{"openalex":"https://openalex.org/W2061202913","doi":"https://doi.org/10.1016/s0895-7177(03)00118-3","mag":"2061202913"},"language":"en","primary_location":{"id":"doi:10.1016/s0895-7177(03)00118-3","doi":"https://doi.org/10.1016/s0895-7177(03)00118-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0895-7177(03)00118-3","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0895717703001183/pdf","source":{"id":"https://openalex.org/S182710874","display_name":"Mathematical and Computer Modelling","issn_l":"0895-7177","issn":["0895-7177","1872-9479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical and Computer Modelling","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0895717703001183/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059080063","display_name":"Thomas L. Saaty","orcid":"https://orcid.org/0000-0002-1304-7663","observed_orcids":["https://orcid.org/0000-0002-1304-7663"]},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T.L. Saaty","raw_affiliation_strings":["University of Pittsburgh 322 Mervis Hall Pittsburgh, PA 15260, U.S.A","University of Pittsburgh 322 Mervis Hall Pittsburgh, PA 15260, U.S.A.#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Pittsburgh 322 Mervis Hall Pittsburgh, PA 15260, U.S.A","institution_ids":["https://openalex.org/I170201317"]},{"raw_affiliation_string":"University of Pittsburgh 322 Mervis Hall Pittsburgh, PA 15260, U.S.A.#TAB#","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"last","author":{"id":null,"display_name":"M. Ozdemir","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. Ozdemir","raw_affiliation_strings":["Department of Industrial Engineering Architectural and Engineering Faculty, Osmangazi University Bademlik Skisehir 26030, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering Architectural and Engineering Faculty, Osmangazi University Bademlik Skisehir 26030, Turkey","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059080063"],"corresponding_institution_ids":["https://openalex.org/I170201317"],"apc_list":null,"apc_paid":null,"fwci":7.0466,"has_fulltext":true,"cited_by_count":154,"citation_normalized_percentile":{"value":0.96591784,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"37","issue":"9-10","first_page":"1063","last_page":"1075"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T13137","display_name":"Strategic Planning and Analysis","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/analytic-hierarchy-process","display_name":"analytic hierarchy process","score":0.9649999737739563},{"id":"https://openalex.org/keywords/fundamental-scale","display_name":"fundamental scale","score":0.5189999938011169},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"pairwise comparison","score":0.5},{"id":"https://openalex.org/keywords/multi-criteria-decision-making","display_name":"multi-criteria decision making","score":0.8090000152587891},{"id":"https://openalex.org/keywords/alternative-ranking","display_name":"alternative ranking","score":0.656000018119812}],"concepts":[{"id":"https://openalex.org/C87345402","wikidata":"https://www.wikidata.org/wiki/Q485202","display_name":"Analytic hierarchy process","level":2,"score":0.7990138530731201},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7254410982131958},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5115724205970764},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5112128257751465},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5072571635246277},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4983398914337158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.433207631111145},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.42259958386421204},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.42247670888900757},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4209180176258087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41102683544158936},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.35994619131088257},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33884692192077637},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26202520728111267},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.204753577709198},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11239516735076904},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.11213418841362},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.10316893458366394},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0895-7177(03)00118-3","doi":"https://doi.org/10.1016/s0895-7177(03)00118-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0895-7177(03)00118-3","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0895717703001183/pdf","source":{"id":"https://openalex.org/S182710874","display_name":"Mathematical and Computer Modelling","issn_l":"0895-7177","issn":["0895-7177","1872-9479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical and Computer Modelling","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s0895-7177(03)00118-3","doi":"https://doi.org/10.1016/s0895-7177(03)00118-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0895-7177(03)00118-3","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0895717703001183/pdf","source":{"id":"https://openalex.org/S182710874","display_name":"Mathematical and Computer Modelling","issn_l":"0895-7177","issn":["0895-7177","1872-9479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical and Computer Modelling","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2061202913.pdf","grobid_xml":"https://content.openalex.org/works/W2061202913.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W605122547","https://openalex.org/W637394027","https://openalex.org/W1495306037","https://openalex.org/W1519565561","https://openalex.org/W1559875088","https://openalex.org/W1595267951","https://openalex.org/W2004772413","https://openalex.org/W2064071505","https://openalex.org/W2065429829","https://openalex.org/W2069108527","https://openalex.org/W2070877738","https://openalex.org/W2332237518","https://openalex.org/W2976495614","https://openalex.org/W4214495813","https://openalex.org/W4239659865"],"related_works":["https://openalex.org/W1988338876","https://openalex.org/W3172350833","https://openalex.org/W2000612061","https://openalex.org/W3124548065","https://openalex.org/W2098868605","https://openalex.org/W7112433254","https://openalex.org/W3138832339","https://openalex.org/W3150334407","https://openalex.org/W1586466173","https://openalex.org/W2049985359"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":7}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}