{"id":"https://openalex.org/W3155748097","doi":"https://doi.org/10.1080/23307706.2021.1912666","title":"Orthopair indeterminate information expression, aggregations and multiattribute decision making method with indeterminate ranges","display_name":"Orthopair indeterminate information expression, aggregations and multiattribute decision making method with indeterminate ranges","publication_year":2021,"publication_date":"2021-04-09","ids":{"openalex":"https://openalex.org/W3155748097","doi":"https://doi.org/10.1080/23307706.2021.1912666","mag":"3155748097"},"language":"en","primary_location":{"id":"doi:10.1080/23307706.2021.1912666","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2021.1912666","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Control and Decision","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/A5100382930","display_name":"Jun Ye","orcid":"https://orcid.org/0000-0003-2841-6529"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Ye","raw_affiliation_strings":["School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People\u2019s Republic of China","School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-2841-6529","affiliations":[{"raw_affiliation_string":"School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People\u2019s Republic of China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People's Republic of China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003831601","display_name":"Shigui Du","orcid":"https://orcid.org/0000-0002-0281-488X"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shigui Du","raw_affiliation_strings":["School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People\u2019s Republic of China","School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People\u2019s Republic of China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People's Republic of China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100728764","display_name":"Rui Yong","orcid":"https://orcid.org/0000-0003-4703-848X"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Yong","raw_affiliation_strings":["School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People\u2019s Republic of China","School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People\u2019s Republic of China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. People's Republic of China","institution_ids":["https://openalex.org/I109935558"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100382930"],"corresponding_institution_ids":["https://openalex.org/I109935558"],"apc_list":null,"apc_paid":null,"fwci":0.8975,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75544515,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":"1","first_page":"80","last_page":"88"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9882000088691711,"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/T10539","display_name":"Sustainable Supply Chain Management","score":0.9814000129699707,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/indeterminate","display_name":"Indeterminate","score":0.9820135831832886},{"id":"https://openalex.org/keywords/indeterminacy","display_name":"Indeterminacy (philosophy)","score":0.8165093660354614},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6134301424026489},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5325511693954468},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4837898910045624},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.460114061832428},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.4469630718231201},{"id":"https://openalex.org/keywords/statically-indeterminate","display_name":"Statically indeterminate","score":0.4433594048023224},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.43543022871017456},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4213695228099823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4006651043891907},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35757017135620117},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2576131522655487},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2434101700782776},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1349802017211914}],"concepts":[{"id":"https://openalex.org/C94624232","wikidata":"https://www.wikidata.org/wiki/Q3150667","display_name":"Indeterminate","level":2,"score":0.9820135831832886},{"id":"https://openalex.org/C2777366796","wikidata":"https://www.wikidata.org/wiki/Q6017758","display_name":"Indeterminacy (philosophy)","level":2,"score":0.8165093660354614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6134301424026489},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5325511693954468},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4837898910045624},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.460114061832428},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.4469630718231201},{"id":"https://openalex.org/C55884918","wikidata":"https://www.wikidata.org/wiki/Q333712","display_name":"Statically indeterminate","level":2,"score":0.4433594048023224},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.43543022871017456},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4213695228099823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4006651043891907},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35757017135620117},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2576131522655487},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2434101700782776},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1349802017211914},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/23307706.2021.1912666","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2021.1912666","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Control and Decision","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1532961039","https://openalex.org/W1953807684","https://openalex.org/W1971875039","https://openalex.org/W1976915331","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W1992193696","https://openalex.org/W2007538282","https://openalex.org/W2049264340","https://openalex.org/W2068692334","https://openalex.org/W2078423530","https://openalex.org/W2080986991","https://openalex.org/W2095895044","https://openalex.org/W2131886650","https://openalex.org/W2169218096","https://openalex.org/W2335393569","https://openalex.org/W2346953349","https://openalex.org/W2413485267","https://openalex.org/W2461507070","https://openalex.org/W2557918717","https://openalex.org/W2563128797","https://openalex.org/W2591936123","https://openalex.org/W2593183563","https://openalex.org/W2611662467","https://openalex.org/W2614110246","https://openalex.org/W2746747652","https://openalex.org/W2756292711","https://openalex.org/W2796547704","https://openalex.org/W2800049629","https://openalex.org/W2808722382","https://openalex.org/W2945724695","https://openalex.org/W3004492086","https://openalex.org/W3008595424","https://openalex.org/W3042406736","https://openalex.org/W3156834475","https://openalex.org/W4211007335","https://openalex.org/W4213068365","https://openalex.org/W4292078529"],"related_works":["https://openalex.org/W4236494936","https://openalex.org/W2372954821","https://openalex.org/W4236015923","https://openalex.org/W2331930387","https://openalex.org/W2321649826","https://openalex.org/W2785222190","https://openalex.org/W3021954601","https://openalex.org/W3037174482","https://openalex.org/W3122995567","https://openalex.org/W4245869678"],"abstract_inverted_index":{"A":[0],"neutrosophic":[1],"number":[2],"(NN)":[3],"(d":[4],"=":[5],"\u00b5":[6],"+":[7],"vI)":[8],"can":[9],"flexibly":[10],"represent":[11],"the":[12,19,23,64,91,97,110,130,135],"indeterminate":[13,38,43,53,82,104],"information":[14],"corresponding":[15],"to":[16,60,116,128],"values/ranges":[17],"of":[18,26,84,102,121,134],"indeterminacy":[20],"I.":[21],"Regarding":[22],"hybrid":[24],"concept":[25],"intuitionistic":[27],"fuzzy":[28],"set":[29,39],"(IFS)":[30],"and":[31,50,62,67,71,93,96,99,132],"NN,":[32],"this":[33],"study":[34],"presents":[35],"an":[36,41,51],"orthopair":[37,42,52,103],"(OIS),":[40],"element":[44,54],"weighted":[45,55],"arithmetic":[46],"averaging":[47,57],"(OIEWAA)":[48],"operator":[49,59],"geometric":[56],"(OIEWGA)":[58],"simplify":[61],"generalise":[63],"existing":[65],"IFS":[66,69],"interval-valued":[68],"expressions":[70],"aggregation":[72],"forms.":[73],"Thus,":[74],"a":[75,117],"multiattribute":[76],"decision":[77,85],"making":[78],"(DM)":[79],"approach":[80,113,138],"with":[81],"ranges":[83],"makers":[86],"is":[87,114],"developed":[88],"based":[89],"on":[90],"OIEWAA":[92],"OIEWGA":[94],"operators":[95],"score":[98],"accuracy":[100],"functions":[101],"elements":[105],"in":[106,125,139],"OIS":[107,126,140],"setting.":[108,141],"Finally,":[109],"proposed":[111,136],"DM":[112,119,137],"applied":[115],"multi-attribute":[118],"example":[120],"manufacturing":[122],"schemes":[123],"(alternatives)":[124],"setting":[127],"demonstrate":[129],"applicability":[131],"flexibility":[133]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
