{"id":"https://openalex.org/W2560313562","doi":"https://doi.org/10.1007/s00500-016-2454-x","title":"Analyzing Saaty\u2019s consistency test in pairwise comparison method: a perspective based on linguistic and numerical scale","display_name":"Analyzing Saaty\u2019s consistency test in pairwise comparison method: a perspective based on linguistic and numerical scale","publication_year":2016,"publication_date":"2016-12-07","ids":{"openalex":"https://openalex.org/W2560313562","doi":"https://doi.org/10.1007/s00500-016-2454-x","mag":"2560313562"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-016-2454-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-016-2454-x","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5060079541","display_name":"Hengjie Zhang","orcid":"https://orcid.org/0000-0002-5488-9082"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hengjie Zhang","raw_affiliation_strings":["Business School, Sichuan University, Chengdu, 610065, People\u2019s Republic of China","Business School, Sichuan University, Chengdu, 610065, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Business School, Sichuan University, Chengdu, 610065, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24185976"]},{"raw_affiliation_string":"Business School, Sichuan University, Chengdu, 610065, People's Republic of China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100363117","display_name":"Xin Chen","orcid":"https://orcid.org/0000-0003-1990-2058"},"institutions":[{"id":"https://openalex.org/I31683504","display_name":"Beijing Forestry University","ror":"https://ror.org/04xv2pc41","country_code":"CN","type":"education","lineage":["https://openalex.org/I1327237609","https://openalex.org/I31683504","https://openalex.org/I4210127390"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Chen","raw_affiliation_strings":["School of Science, Beijing Forestry University, Beijing, 100083, People\u2019s Republic of China","School of Science, Beijing Forestry University, Beijing, 100083, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Beijing Forestry University, Beijing, 100083, People\u2019s Republic of China","institution_ids":["https://openalex.org/I31683504"]},{"raw_affiliation_string":"School of Science, Beijing Forestry University, Beijing, 100083, People's Republic of China","institution_ids":["https://openalex.org/I31683504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050358854","display_name":"Yucheng Dong","orcid":"https://orcid.org/0000-0002-0028-6796"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yucheng Dong","raw_affiliation_strings":["Business School, Sichuan University, Chengdu, 610065, People\u2019s Republic of China","Business School, Sichuan University, Chengdu, 610065, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Business School, Sichuan University, Chengdu, 610065, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24185976"]},{"raw_affiliation_string":"Business School, Sichuan University, Chengdu, 610065, People's Republic of China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107869068","display_name":"Weijun Xu","orcid":"https://orcid.org/0000-0003-3392-2143"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weijun Xu","raw_affiliation_strings":["School of Business Administration, South China University of Technology, Guangzhou, 510641, People\u2019s Republic of China","School of Business Administration, South China University of Technology, Guangzhou, 510641, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, South China University of Technology, Guangzhou, 510641, People\u2019s Republic of China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"School of Business Administration, South China University of Technology, Guangzhou, 510641, People's Republic of China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101585291","display_name":"Shihua Wang","orcid":"https://orcid.org/0000-0001-9735-6086"},"institutions":[{"id":"https://openalex.org/I4210128140","display_name":"Guangdong University of Petrochemical Technology","ror":"https://ror.org/030ffke25","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210128140"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shihua Wang","raw_affiliation_strings":["Guangdong Provincial Key Laboratory of Petrochemical Equipment Fault Diagnosis, Guangdong University of Petrochemical Technology, Maoming, 525000, People\u2019s Republic of China","Guangdong Provincial Key Laboratory of Petrochemical Equipment Fault Diagnosis, Guangdong University of Petrochemical Technology, Maoming, 525000, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Guangdong Provincial Key Laboratory of Petrochemical Equipment Fault Diagnosis, Guangdong University of Petrochemical Technology, Maoming, 525000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210128140"]},{"raw_affiliation_string":"Guangdong Provincial Key Laboratory of Petrochemical Equipment Fault Diagnosis, Guangdong University of Petrochemical Technology, Maoming, 525000, People's Republic of China","institution_ids":["https://openalex.org/I4210128140"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5060079541"],"corresponding_institution_ids":["https://openalex.org/I24185976"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.1144,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.83248162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"22","issue":"6","first_page":"1933","last_page":"1943"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"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":0.9994000196456909,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9855999946594238,"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/T13083","display_name":"Advanced Text Analysis Techniques","score":0.9847000241279602,"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/pairwise-comparison","display_name":"Pairwise comparison","score":0.9461796283721924},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.8034354448318481},{"id":"https://openalex.org/keywords/analytic-hierarchy-process","display_name":"Analytic hierarchy process","score":0.7582792043685913},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.635168731212616},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.6079966425895691},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5283385515213013},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.476151704788208},{"id":"https://openalex.org/keywords/test","display_name":"Test (biology)","score":0.4659254252910614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42383456230163574},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3676777184009552},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33815523982048035},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3350493013858795},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2916157841682434},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.15046384930610657},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.0719466507434845}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.9461796283721924},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.8034354448318481},{"id":"https://openalex.org/C87345402","wikidata":"https://www.wikidata.org/wiki/Q485202","display_name":"Analytic hierarchy process","level":2,"score":0.7582792043685913},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.635168731212616},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.6079966425895691},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5283385515213013},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.476151704788208},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.4659254252910614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42383456230163574},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3676777184009552},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33815523982048035},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3350493013858795},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2916157841682434},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.15046384930610657},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0719466507434845},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-016-2454-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-016-2454-x","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G6138025034","display_name":null,"funder_award_id":"skqy201606","funder_id":"https://openalex.org/F4320322990","funder_display_name":"Sichuan University"}],"funders":[{"id":"https://openalex.org/F4320322990","display_name":"Sichuan University","ror":"https://ror.org/011ashp19"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W657448877","https://openalex.org/W1264135555","https://openalex.org/W1963675712","https://openalex.org/W1966203525","https://openalex.org/W1983675831","https://openalex.org/W1986686276","https://openalex.org/W1999584965","https://openalex.org/W2000544641","https://openalex.org/W2012491224","https://openalex.org/W2027218152","https://openalex.org/W2033442452","https://openalex.org/W2035756317","https://openalex.org/W2041210202","https://openalex.org/W2046414928","https://openalex.org/W2051658624","https://openalex.org/W2055858109","https://openalex.org/W2057636328","https://openalex.org/W2065880721","https://openalex.org/W2067948432","https://openalex.org/W2078350982","https://openalex.org/W2080668842","https://openalex.org/W2087829604","https://openalex.org/W2090496751","https://openalex.org/W2092989683","https://openalex.org/W2109756042","https://openalex.org/W2111719258","https://openalex.org/W2115951219","https://openalex.org/W2116522872","https://openalex.org/W2117827905","https://openalex.org/W2118763747","https://openalex.org/W2123882262","https://openalex.org/W2131736385","https://openalex.org/W2137745865","https://openalex.org/W2143990275","https://openalex.org/W2145906330","https://openalex.org/W2147447315","https://openalex.org/W2152788100","https://openalex.org/W2157041604","https://openalex.org/W2159322663","https://openalex.org/W2160685811","https://openalex.org/W2162848031","https://openalex.org/W2167038331","https://openalex.org/W2168936936","https://openalex.org/W2171397818","https://openalex.org/W2171947434","https://openalex.org/W2211110161","https://openalex.org/W2211605485","https://openalex.org/W2234548561","https://openalex.org/W2311813345","https://openalex.org/W2346604114","https://openalex.org/W2404062815","https://openalex.org/W2474241334","https://openalex.org/W2528876576","https://openalex.org/W3171049164","https://openalex.org/W4239177862","https://openalex.org/W4246788489","https://openalex.org/W4251950542","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2772061936","https://openalex.org/W1493813049","https://openalex.org/W2006215043","https://openalex.org/W2741269788","https://openalex.org/W2901758517","https://openalex.org/W2022116781","https://openalex.org/W2344064156","https://openalex.org/W84389161","https://openalex.org/W166871351","https://openalex.org/W1575440587"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
