{"id":"https://openalex.org/W2033447266","doi":"https://doi.org/10.1057/palgrave.jors.2600899","title":"A fuzzy programming method for deriving priorities in the analytic hierarchy process","display_name":"A fuzzy programming method for deriving priorities in the analytic hierarchy process","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W2033447266","doi":"https://doi.org/10.1057/palgrave.jors.2600899","mag":"2033447266"},"language":"en","primary_location":{"id":"doi:10.1057/palgrave.jors.2600899","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2600899","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},"type":"article","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/A5016644879","display_name":"L. Mikhailov","orcid":"https://orcid.org/0000-0001-7172-7731"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"L Mikhailov","raw_affiliation_strings":["UMIST Manchester UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UMIST Manchester UK","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5016644879"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.9613,"has_fulltext":false,"cited_by_count":204,"citation_normalized_percentile":{"value":0.96551409,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"51","issue":"3","first_page":"341","last_page":"349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.8621000051498413,"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":0.8621000051498413,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.0430000014603138,"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/T14175","display_name":"Intuitionistic Fuzzy Systems Applications","score":0.009600000455975533,"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/analytic-hierarchy-process","display_name":"Analytic hierarchy process","score":0.622934103012085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6104691028594971},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.5634673237800598},{"id":"https://openalex.org/keywords/project-management","display_name":"Project management","score":0.5234940648078918},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5041877031326294},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4954754114151001},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.4304676353931427},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.4278518855571747},{"id":"https://openalex.org/keywords/industrial-engineering","display_name":"Industrial engineering","score":0.32151034474372864},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22752434015274048},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22672045230865479},{"id":"https://openalex.org/keywords/systems-engineering","display_name":"Systems engineering","score":0.17243650555610657},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.16492107510566711},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16253679990768433},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10511136054992676}],"concepts":[{"id":"https://openalex.org/C87345402","wikidata":"https://www.wikidata.org/wiki/Q485202","display_name":"Analytic hierarchy process","level":2,"score":0.622934103012085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6104691028594971},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.5634673237800598},{"id":"https://openalex.org/C15952604","wikidata":"https://www.wikidata.org/wiki/Q179012","display_name":"Project management","level":2,"score":0.5234940648078918},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5041877031326294},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4954754114151001},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.4304676353931427},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4278518855571747},{"id":"https://openalex.org/C13736549","wikidata":"https://www.wikidata.org/wiki/Q4489420","display_name":"Industrial engineering","level":1,"score":0.32151034474372864},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22752434015274048},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22672045230865479},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.17243650555610657},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.16492107510566711},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16253679990768433},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10511136054992676},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1057/palgrave.jors.2600899","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2600899","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/76dc0f94-7a2f-47f3-876a-cb013ebe7297","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/76dc0f94-7a2f-47f3-876a-cb013ebe7297","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mikhailov, L 2000, 'A fuzzy programming method for deriving priorities in the analytic hierarchy process', Journal of the Operational Research Society, vol. 51.","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:pal:jorsoc:v:51:y:2000:i:3:d:10.1057_palgrave.jors.2600899","is_oa":false,"landing_page_url":"http://link.springer.com/10.1057/palgrave.jors.2600899","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:pure.atira.dk:publications/76dc0f94-7a2f-47f3-876a-cb013ebe7297","is_oa":false,"landing_page_url":"https://www.research.manchester.ac.uk/portal/en/publications/a-fuzzy-programming-method-for-deriving-priorities-in-the-analytic-hierarchy-process(76dc0f94-7a2f-47f3-876a-cb013ebe7297).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mikhailov, L 2000, 'A fuzzy programming method for deriving priorities in the analytic hierarchy process', Journal of the Operational Research Society, vol. 51.","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":13,"referenced_works":["https://openalex.org/W1970128680","https://openalex.org/W2004030638","https://openalex.org/W2016733102","https://openalex.org/W2020407132","https://openalex.org/W2028983668","https://openalex.org/W2032846856","https://openalex.org/W2048366140","https://openalex.org/W2063739282","https://openalex.org/W2064343186","https://openalex.org/W2065258344","https://openalex.org/W2069466341","https://openalex.org/W2078999992","https://openalex.org/W2094121037"],"related_works":["https://openalex.org/W2072616191","https://openalex.org/W4254721795","https://openalex.org/W2039699880","https://openalex.org/W2609648644","https://openalex.org/W3119735843","https://openalex.org/W2358313914","https://openalex.org/W2373874117","https://openalex.org/W2014521788","https://openalex.org/W4251978811","https://openalex.org/W4233708930"],"abstract_inverted_index":{"The":[0,19,88],"estimation":[1],"of":[2,13,63,129],"the":[3,10,14,32,37,42,64,70,93,121,127,130],"priorities":[4],"from":[5,25],"pairwise":[6],"comparison":[7],"matrices":[8,27],"is":[9,57,90,105],"major":[11],"constituent":[12],"Analytic":[15],"Hierarchy":[16],"Process":[17],"(AHP).":[18],"priority":[20],"vector":[21],"can":[22,79],"be":[23,81,115],"derived":[24],"these":[26],"using":[28],"different":[29],"techniques,":[30],"as":[31,83,117],"most":[33],"commonly":[34],"used":[35,116],"are":[36,132],"Eigenvector":[38],"Method":[39,46,55],"(EVM)":[40],"and":[41,113],"Logarithmic":[43],"Least":[44],"Squares":[45],"(LLSM).":[47],"In":[48],"this":[49],"paper":[50],"a":[51,74,84],"new":[52],"Fuzzy":[53],"Programming":[54],"(FPM)":[56],"proposed,":[58],"based":[59],"on":[60],"geometrical":[61],"representation":[62],"prioritisation":[65,71,96,123],"process.":[66],"This":[67],"method":[68],"transforms":[69],"problem":[72,77],"into":[73],"fuzzy":[75],"programming":[76],"that":[78,107],"easily":[80],"solved":[82],"standard":[85],"linear":[86],"programme.":[87],"FPM":[89],"compared":[91],"with":[92],"main":[94],"existing":[95],"methods":[97],"in":[98],"order":[99],"to":[100,120],"evaluate":[101],"its":[102],"performance.":[103],"It":[104],"shown":[106],"it":[108],"possesses":[109],"some":[110],"attractive":[111],"properties":[112],"could":[114],"an":[118],"alternative":[119],"known":[122],"methods,":[124],"especially":[125],"when":[126],"preferences":[128],"decision-maker":[131],"strongly":[133],"inconsistent.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":7}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}