{"id":"https://openalex.org/W2998631236","doi":"https://doi.org/10.1007/s00500-020-04676-3","title":"Multiple criteria decision making based on weighted Archimedean power partitioned Bonferroni aggregation operators of generalised orthopair membership grades","display_name":"Multiple criteria decision making based on weighted Archimedean power partitioned Bonferroni aggregation operators of generalised orthopair membership grades","publication_year":2020,"publication_date":"2020-01-20","ids":{"openalex":"https://openalex.org/W2998631236","doi":"https://doi.org/10.1007/s00500-020-04676-3","mag":"2998631236"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-020-04676-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-020-04676-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-020-04676-3.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00500-020-04676-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064890446","display_name":"Yuchu Qin","orcid":"https://orcid.org/0000-0002-5723-5519"},"institutions":[{"id":"https://openalex.org/I133837150","display_name":"University of Huddersfield","ror":"https://ror.org/05t1h8f27","country_code":"GB","type":"education","lineage":["https://openalex.org/I133837150"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yuchu Qin","raw_affiliation_strings":["School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK","institution_ids":["https://openalex.org/I133837150"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000457976","display_name":"Qunfen Qi","orcid":"https://orcid.org/0000-0001-5936-1714"},"institutions":[{"id":"https://openalex.org/I133837150","display_name":"University of Huddersfield","ror":"https://ror.org/05t1h8f27","country_code":"GB","type":"education","lineage":["https://openalex.org/I133837150"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Qunfen Qi","raw_affiliation_strings":["School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK"],"raw_orcid":"https://orcid.org/0000-0001-5936-1714","affiliations":[{"raw_affiliation_string":"School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK","institution_ids":["https://openalex.org/I133837150"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019207615","display_name":"Paul J. Scott","orcid":"https://orcid.org/0000-0002-6092-3101"},"institutions":[{"id":"https://openalex.org/I133837150","display_name":"University of Huddersfield","ror":"https://ror.org/05t1h8f27","country_code":"GB","type":"education","lineage":["https://openalex.org/I133837150"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Paul J. Scott","raw_affiliation_strings":["School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK","institution_ids":["https://openalex.org/I133837150"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052852912","display_name":"Xiangqian Jiang","orcid":"https://orcid.org/0000-0001-7949-8507"},"institutions":[{"id":"https://openalex.org/I133837150","display_name":"University of Huddersfield","ror":"https://ror.org/05t1h8f27","country_code":"GB","type":"education","lineage":["https://openalex.org/I133837150"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xiangqian Jiang","raw_affiliation_strings":["School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK","institution_ids":["https://openalex.org/I133837150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064890446"],"corresponding_institution_ids":["https://openalex.org/I133837150"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":4.8302,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.95170894,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"24","issue":"16","first_page":"12329","last_page":"12355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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/T13058","display_name":"Soil and Land Suitability Analysis","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/2308","display_name":"Management, Monitoring, Policy and Law"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9675999879837036,"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/bonferroni-correction","display_name":"Bonferroni correction","score":0.8124314546585083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6925191283226013},{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.6525067687034607},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5844321250915527},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5689398050308228},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.49163419008255005},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.45437878370285034},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3219744563102722},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3151896297931671},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18018314242362976}],"concepts":[{"id":"https://openalex.org/C127808970","wikidata":"https://www.wikidata.org/wiki/Q385989","display_name":"Bonferroni correction","level":2,"score":0.8124314546585083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6925191283226013},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.6525067687034607},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5844321250915527},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5689398050308228},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.49163419008255005},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.45437878370285034},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3219744563102722},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3151896297931671},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18018314242362976},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00500-020-04676-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-020-04676-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-020-04676-3.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/f98c56d7-120d-4dd3-a0ed-ebec29f94584","is_oa":true,"landing_page_url":"https://pure.hud.ac.uk/en/publications/f98c56d7-120d-4dd3-a0ed-ebec29f94584","pdf_url":null,"source":{"id":"https://openalex.org/S4306402508","display_name":"Huddersfield Research Portal (University of Huddersfield)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I133837150","host_organization_name":"University of Huddersfield","host_organization_lineage":["https://openalex.org/I133837150"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Qin, Y, Qi, Q, Scott, P & Jiang, J 2020, 'Multiple Criteria Decision Making Based on Weighted Archimedean Power Partitioned Bonferroni Aggregation Operators of Generalised Orthopair Membership Grades', Soft Computing, vol. 24, no. 16, pp. 12329-12355. https://doi.org/10.1007/s00500-020-04676-3","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire/7096a6be-6488-4daf-9479-a402b490d09e","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/7096a6be-6488-4daf-9479-a402b490d09e","pdf_url":null,"source":{"id":"https://openalex.org/S7407055359","display_name":"Explore Bristol Research","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Qin, Y, Qi, Q, Scott, P J & Jiang, X 2020, 'Multiple criteria decision making based on weighted Archimedean power partitioned Bonferroni aggregation operators of generalised orthopair membership grades', Soft Computing, vol. 24, no. 16, pp. 12329-12355. https://doi.org/10.1007/s00500-020-04676-3","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s00500-020-04676-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-020-04676-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-020-04676-3.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8199999928474426}],"awards":[{"id":"https://openalex.org/G1389858441","display_name":null,"funder_award_id":"EP/P006930/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G753224229","display_name":"A semantic infrastructure for advanced manufacturing","funder_award_id":"EP/S001328/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2998631236.pdf","grobid_xml":"https://content.openalex.org/works/W2998631236.grobid-xml"},"referenced_works_count":72,"referenced_works":["https://openalex.org/W173895910","https://openalex.org/W1427155388","https://openalex.org/W1668569279","https://openalex.org/W1680090622","https://openalex.org/W1829951598","https://openalex.org/W1967753042","https://openalex.org/W1980564456","https://openalex.org/W1982675899","https://openalex.org/W1995654381","https://openalex.org/W2003452701","https://openalex.org/W2008103229","https://openalex.org/W2013908206","https://openalex.org/W2013932252","https://openalex.org/W2036378460","https://openalex.org/W2041179443","https://openalex.org/W2050082080","https://openalex.org/W2060706257","https://openalex.org/W2070321651","https://openalex.org/W2080321461","https://openalex.org/W2080904113","https://openalex.org/W2083141276","https://openalex.org/W2104077967","https://openalex.org/W2157687268","https://openalex.org/W2160600033","https://openalex.org/W2260241823","https://openalex.org/W2265326515","https://openalex.org/W2282429601","https://openalex.org/W2323678723","https://openalex.org/W2343846868","https://openalex.org/W2345848912","https://openalex.org/W2419583469","https://openalex.org/W2499828064","https://openalex.org/W2514754342","https://openalex.org/W2530680027","https://openalex.org/W2547978614","https://openalex.org/W2563128797","https://openalex.org/W2587709158","https://openalex.org/W2590846539","https://openalex.org/W2591936123","https://openalex.org/W2597980251","https://openalex.org/W2606926586","https://openalex.org/W2746747652","https://openalex.org/W2753434909","https://openalex.org/W2753862205","https://openalex.org/W2756292711","https://openalex.org/W2769278513","https://openalex.org/W2769904785","https://openalex.org/W2784166218","https://openalex.org/W2789682920","https://openalex.org/W2793014487","https://openalex.org/W2796547704","https://openalex.org/W2796572160","https://openalex.org/W2801101481","https://openalex.org/W2803263920","https://openalex.org/W2804318406","https://openalex.org/W2810406151","https://openalex.org/W2883904673","https://openalex.org/W2884166416","https://openalex.org/W2884892695","https://openalex.org/W2892091533","https://openalex.org/W2899304489","https://openalex.org/W2899405865","https://openalex.org/W2900337413","https://openalex.org/W2900501367","https://openalex.org/W2902568446","https://openalex.org/W2903590249","https://openalex.org/W2906809961","https://openalex.org/W2908383203","https://openalex.org/W2912565176","https://openalex.org/W3133026174","https://openalex.org/W4211007335","https://openalex.org/W4234672050"],"related_works":["https://openalex.org/W2390064908","https://openalex.org/W2917228042","https://openalex.org/W2564440352","https://openalex.org/W4253992846","https://openalex.org/W1965088310","https://openalex.org/W2901814704","https://openalex.org/W2239990209","https://openalex.org/W2461483947","https://openalex.org/W2026314750","https://openalex.org/W2913201744"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"a":[4,81,106,109,118],"multiple":[5],"criteria":[6],"decision":[7,175],"making":[8],"(MCDM)":[9],"method":[10,82,101,133],"based":[11,88],"on":[12,89],"weighted":[13],"Archimedean":[14,42],"power":[15,35],"partitioned":[16,38],"Bonferroni":[17,28,32,59],"aggregation":[18,60,144],"operators":[19],"of":[20,77,99,115,145,159,165,174],"generalised":[21,52,68],"orthopair":[22,53],"membership":[23],"grades":[24],"(GOMGs)":[25],"is":[26,91,134],"proposed.":[27],"mean":[29,33],"operator,":[30,34,37,40],"geometric":[31],"average":[36,39],"and":[41,45,67,69,97,117,140,148,169],"T":[43,46],"-norm":[44],"-conorm":[47],"operations":[48],"are":[49,65,72],"introduced":[50],"into":[51],"fuzzy":[54],"sets":[55],"to":[56,153],"develop":[57],"the":[58,75,78,85,100,113,122,131,143,151,156,162,171],"operators.":[61],"Their":[62],"formal":[63],"definitions":[64],"provided,":[66],"specific":[70,79],"expressions":[71],"constructed.":[73],"On":[74],"basis":[76],"operators,":[80],"for":[83],"solving":[84],"MCDM":[86],"problems":[87],"GOMGs":[90],"designed.":[92],"The":[93,126],"working":[94],"process,":[95],"characteristics,":[96,116],"feasibility":[98],"are,":[102],"respectively,":[103],"demonstrated":[104],"via":[105],"numerical":[107],"example,":[108],"qualitative":[110],"comparison":[111,120],"at":[112],"aspect":[114],"quantitative":[119],"using":[121],"example":[123],"as":[124],"benchmark.":[125],"demonstration":[127],"results":[128],"show":[129],"that":[130,136],"proposed":[132],"feasible":[135],"has":[137,150],"desirable":[138],"generality":[139],"flexibility":[141],"in":[142],"criterion":[146,167],"values":[147],"concurrently":[149],"capabilities":[152],"deal":[154],"with":[155],"heterogeneous":[157],"interrelationships":[158],"criteria,":[160],"reduce":[161],"negative":[163],"influence":[164],"biased":[166],"values,":[168],"capture":[170],"risk":[172],"attitudes":[173],"makers.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}