{"id":"https://openalex.org/W4200503260","doi":"https://doi.org/10.3233/jifs-211569","title":"A new multi-criteria decision-making method utilizing power heronian operators with picture hesitant fuzzy information","display_name":"A new multi-criteria decision-making method utilizing power heronian operators with picture hesitant fuzzy information","publication_year":2021,"publication_date":"2021-12-07","ids":{"openalex":"https://openalex.org/W4200503260","doi":"https://doi.org/10.3233/jifs-211569"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-211569","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-211569","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","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/A5100733207","display_name":"Baolin Li","orcid":"https://orcid.org/0000-0002-2743-2570"},"institutions":[{"id":"https://openalex.org/I4210126203","display_name":"Hubei University of Automotive Technology","ror":"https://ror.org/039m95m06","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210126203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baolin Li","raw_affiliation_strings":["School of Economics and Management, Hubei University of Automotive Technology, Shiyan, Hubei, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Hubei University of Automotive Technology, Shiyan, Hubei, China","institution_ids":["https://openalex.org/I4210126203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035949570","display_name":"Lihua Yang","orcid":"https://orcid.org/0000-0002-1008-1161"},"institutions":[{"id":"https://openalex.org/I4210126203","display_name":"Hubei University of Automotive Technology","ror":"https://ror.org/039m95m06","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210126203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lihua Yang","raw_affiliation_strings":["School of Economics and Management, Hubei University of Automotive Technology, Shiyan, Hubei, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Hubei University of Automotive Technology, Shiyan, Hubei, China","institution_ids":["https://openalex.org/I4210126203"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010830540","display_name":"Jie Qian","orcid":"https://orcid.org/0000-0002-6408-1263"},"institutions":[{"id":"https://openalex.org/I4210126203","display_name":"Hubei University of Automotive Technology","ror":"https://ror.org/039m95m06","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210126203"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jie Qian","raw_affiliation_strings":["School of Economics and Management, Hubei University of Automotive Technology, Shiyan, Hubei, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Hubei University of Automotive Technology, Shiyan, Hubei, China","institution_ids":["https://openalex.org/I4210126203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010830540"],"corresponding_institution_ids":["https://openalex.org/I4210126203"],"apc_list":null,"apc_paid":null,"fwci":0.3486,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64868244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"42","issue":"3","first_page":"2287","last_page":"2308"},"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":0.9772999882698059,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9447000026702881,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.790555477142334},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6315909624099731},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6285042762756348},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5354974269866943},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4692744314670563},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4430026412010193},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43700212240219116},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.427132785320282},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4045370817184448},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2607247829437256}],"concepts":[{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.790555477142334},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6315909624099731},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6285042762756348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5354974269866943},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4692744314670563},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4430026412010193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43700212240219116},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.427132785320282},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4045370817184448},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2607247829437256},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-211569","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-211569","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W603112171","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W2147595926","https://openalex.org/W2157687268","https://openalex.org/W2232480741","https://openalex.org/W2385257316","https://openalex.org/W2530680027","https://openalex.org/W2606031165","https://openalex.org/W2624112931","https://openalex.org/W2734543528","https://openalex.org/W2767160721","https://openalex.org/W2784775847","https://openalex.org/W2785919630","https://openalex.org/W2789496318","https://openalex.org/W2790910343","https://openalex.org/W2793980993","https://openalex.org/W2883936292","https://openalex.org/W2893642366","https://openalex.org/W2896634720","https://openalex.org/W2900213932","https://openalex.org/W2906129818","https://openalex.org/W2907144010","https://openalex.org/W2912665353","https://openalex.org/W2944613801","https://openalex.org/W2944678756","https://openalex.org/W2946824468","https://openalex.org/W2954440811","https://openalex.org/W2955299959","https://openalex.org/W2963217596","https://openalex.org/W2964826026","https://openalex.org/W2979060397","https://openalex.org/W2980655481","https://openalex.org/W2985052366","https://openalex.org/W2990272482","https://openalex.org/W2996189366","https://openalex.org/W2998517894","https://openalex.org/W2999125108","https://openalex.org/W3004286422","https://openalex.org/W3010378391","https://openalex.org/W3023816575","https://openalex.org/W3034816031","https://openalex.org/W3046108428","https://openalex.org/W3092351247","https://openalex.org/W3095636633","https://openalex.org/W6679780668","https://openalex.org/W6728217526","https://openalex.org/W6741218051","https://openalex.org/W6748499067","https://openalex.org/W6748582889","https://openalex.org/W6749967550","https://openalex.org/W6757461778","https://openalex.org/W6771986888","https://openalex.org/W6772885557","https://openalex.org/W6779664925"],"related_works":["https://openalex.org/W2804188782","https://openalex.org/W4220704772","https://openalex.org/W3035952176","https://openalex.org/W2171631829","https://openalex.org/W1486684451","https://openalex.org/W4361273540","https://openalex.org/W2099285375","https://openalex.org/W2801459815","https://openalex.org/W4361984403","https://openalex.org/W4317826560"],"abstract_inverted_index":{"In":[0],"practice,":[1],"picture":[2,9,61,79,88],"hesitant":[3,14,62,80,89],"fuzzy":[4,10,15,63,81,90],"sets":[5,11,16],"(PHFSs)":[6],"combining":[7],"the":[8,35,49,119,131],"(PFSs)":[12],"and":[13,41,68,87,103,148],"(HFSs)":[17],"are":[18,46,71,97,109],"suitable":[19],"to":[20,48,123,129],"represent":[21],"more":[22],"complex":[23],"multi-criteria":[24],"decision-making":[25],"(MCDM)":[26],"information.":[27],"The":[28],"power":[29,38,83,93],"heronian":[30,42,84,94],"(PH)":[31],"operators,":[32,45,76],"which":[33],"have":[34],"merits":[36],"of":[37,51,60,106,133],"average":[39],"(PA)":[40],"mean":[43],"(HM)":[44],"extended":[47],"environment":[50],"PHFSs":[52],"in":[53],"this":[54,134],"article.":[55],"First,":[56],"some":[57,100],"algebraic":[58],"operations":[59],"numbers":[64],"(PHFNs),":[65],"comparative":[66],"functions":[67],"distance":[69],"measure":[70],"introduced.":[72],"Second,":[73],"two":[74,107],"novel":[75,115,135],"called":[77],"as":[78,111,144,146],"weighted":[82,91],"(PHFWPH)":[85],"operator":[86],"geometric":[92],"(PHFWGPH)":[95],"operator,":[96],"defined.":[98],"Meanwhile,":[99],"desirable":[101],"characteristics":[102],"special":[104],"instances":[105],"operators":[108,122],"investigated":[110],"well.":[112],"Third,":[113],"a":[114],"MCDM":[116,140],"approach":[117],"applying":[118],"proposed":[120],"PH":[121],"handle":[124],"PHFNs":[125],"is":[126,142],"explored.":[127],"Lastly,":[128],"indicate":[130],"effectiveness":[132],"method,":[136],"an":[137],"example":[138],"regarding":[139],"problem":[141],"conducted,":[143],"well":[145],"sensitivity":[147],"comparison":[149],"analysis.":[150]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}