{"id":"https://openalex.org/W2751699542","doi":"https://doi.org/10.1109/ifsa-scis.2017.8023261","title":"Non-parametric interval weight estimation methods from a crisp pairwise comparison matrix","display_name":"Non-parametric interval weight estimation methods from a crisp pairwise comparison matrix","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2751699542","doi":"https://doi.org/10.1109/ifsa-scis.2017.8023261","mag":"2751699542"},"language":"en","primary_location":{"id":"doi:10.1109/ifsa-scis.2017.8023261","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifsa-scis.2017.8023261","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems (IFSA-SCIS)","raw_type":"proceedings-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/A5075050549","display_name":"Masahiro Inuiguchi","orcid":"https://orcid.org/0000-0001-9970-1621"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masahiro Inuiguchi","raw_affiliation_strings":["Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023210750","display_name":"Shigeaki Innan","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shigeaki Innan","raw_affiliation_strings":["Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075050549"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":0.195,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62086083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"5","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9936000108718872,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9936000108718872,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9815000295639038,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.7852247953414917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6425216197967529},{"id":"https://openalex.org/keywords/vagueness","display_name":"Vagueness","score":0.6148175597190857},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5703972578048706},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5673666596412659},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4945337474346161},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46333256363868713},{"id":"https://openalex.org/keywords/interval-estimation","display_name":"Interval estimation","score":0.4467692971229553},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.41772955656051636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4127502143383026},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40556439757347107},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3890325427055359},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3287516236305237},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28480690717697144},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23989149928092957},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.23555287718772888},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.12232983112335205},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09659689664840698},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08690440654754639}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.7852247953414917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6425216197967529},{"id":"https://openalex.org/C2776825360","wikidata":"https://www.wikidata.org/wiki/Q1411921","display_name":"Vagueness","level":3,"score":0.6148175597190857},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5703972578048706},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5673666596412659},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4945337474346161},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46333256363868713},{"id":"https://openalex.org/C205167067","wikidata":"https://www.wikidata.org/wiki/Q3300636","display_name":"Interval estimation","level":3,"score":0.4467692971229553},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.41772955656051636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4127502143383026},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40556439757347107},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3890325427055359},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3287516236305237},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28480690717697144},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23989149928092957},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.23555287718772888},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.12232983112335205},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09659689664840698},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08690440654754639},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ifsa-scis.2017.8023261","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifsa-scis.2017.8023261","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems (IFSA-SCIS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5400000214576721}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1533674501","https://openalex.org/W1970216276","https://openalex.org/W2021279654","https://openalex.org/W2062631641","https://openalex.org/W2084172034","https://openalex.org/W2168936936","https://openalex.org/W2293633212","https://openalex.org/W2564458057"],"related_works":["https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W2012882356","https://openalex.org/W109635080","https://openalex.org/W2098412892","https://openalex.org/W4213384165","https://openalex.org/W2085275338","https://openalex.org/W2384410534","https://openalex.org/W2039703772","https://openalex.org/W2998804369"],"abstract_inverted_index":{"In":[0,93],"order":[1],"to":[2,120],"express":[3],"the":[4,30,37,44,73,114],"vagueness":[5,38],"of":[6,39,51,56,75],"human":[7,40],"judgement,":[8],"methods":[9,103,116,124],"for":[10,62],"interval":[11,26,64,86,100],"weight":[12,65,87,101],"estimation":[13,66,88,102],"from":[14],"a":[15,84,133],"crisp":[16],"pairwise":[17,46],"comparison":[18,47],"matrix":[19],"were":[20],"proposed":[21,61],"in":[22,43],"Interval":[23],"AHP.":[24],"The":[25],"weights":[27],"estimated":[28],"by":[29,108],"original":[31],"method":[32,89],"do":[33],"not":[34],"reflect":[35],"well":[36],"judgement":[41],"existing":[42],"given":[45],"matrix.":[48],"Then":[49],"\u03b2-relaxation":[50],"minimum":[52,57],"widths":[53,59],"and":[54,78,104,122],"\u03b3-relaxation":[55,123],"weighted":[58],"are":[60,132],"better":[63],"methods.":[67],"However,":[68],"their":[69,106,129],"qualities":[70],"depend":[71],"on":[72],"selection":[74],"parameters":[76,127],"\u03b2":[77],"\u03b3.":[79],"To":[80],"overcome":[81],"this":[82,94],"shortcoming,":[83],"parameter-free":[85,99,115],"has":[90],"been":[91],"proposed.":[92],"paper,":[95],"we":[96],"further":[97],"investigate":[98],"examine":[105],"usefulness":[107],"numerical":[109],"experiments.":[110],"We":[111],"show":[112],"that":[113],"have":[117],"similar":[118],"performances":[119],"\u03b2-":[121],"with":[125],"appropriate":[126],"although":[128],"accuracy":[130],"scores":[131],"little":[134],"worse.":[135]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}