{"id":"https://openalex.org/W4388634689","doi":"https://doi.org/10.3390/sym15112043","title":"Weight Optimization Decision Algorithm in (p,q)-Rung Probabilistic Hesitant Orthopair Fuzzy Environments","display_name":"Weight Optimization Decision Algorithm in (p,q)-Rung Probabilistic Hesitant Orthopair Fuzzy Environments","publication_year":2023,"publication_date":"2023-11-10","ids":{"openalex":"https://openalex.org/W4388634689","doi":"https://doi.org/10.3390/sym15112043"},"language":"en","primary_location":{"id":"doi:10.3390/sym15112043","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15112043","pdf_url":"https://www.mdpi.com/2073-8994/15/11/2043/pdf?version=1699616170","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/11/2043/pdf?version=1699616170","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109330338","display_name":"Jinyan Bao","orcid":null},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinyan Bao","raw_affiliation_strings":["School of Science, Jiangnan University, Wuxi 214122, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Jiangnan University, Wuxi 214122, China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106402808","display_name":"Xiangzhi Kong","orcid":null},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiangzhi Kong","raw_affiliation_strings":["School of Science, Jiangnan University, Wuxi 214122, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Jiangnan University, Wuxi 214122, China","institution_ids":["https://openalex.org/I111599522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5106402808"],"corresponding_institution_ids":["https://openalex.org/I111599522"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.2403,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60686053,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"15","issue":"11","first_page":"2043","last_page":"2043"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9990000128746033,"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":0.9990000128746033,"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/T13955","display_name":"Evaluation Methods in Various Fields","score":0.9277999997138977,"subfield":{"id":"https://openalex.org/subfields/2302","display_name":"Ecological Modeling"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9193999767303467,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6200412511825562},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5445747971534729},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5191323161125183},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5069890022277832},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4925456941127777},{"id":"https://openalex.org/keywords/electre","display_name":"ELECTRE","score":0.48645898699760437},{"id":"https://openalex.org/keywords/weight-function","display_name":"Weight function","score":0.47776901721954346},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.477437824010849},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4244967997074127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4072454571723938},{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.3039369583129883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2632940709590912},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11916255950927734}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6200412511825562},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5445747971534729},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5191323161125183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5069890022277832},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4925456941127777},{"id":"https://openalex.org/C47431972","wikidata":"https://www.wikidata.org/wiki/Q3045948","display_name":"ELECTRE","level":3,"score":0.48645898699760437},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.47776901721954346},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.477437824010849},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4244967997074127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4072454571723938},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.3039369583129883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2632940709590912},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11916255950927734}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym15112043","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15112043","pdf_url":"https://www.mdpi.com/2073-8994/15/11/2043/pdf?version=1699616170","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a0b447e7447845128d875297de6ba1fd","is_oa":false,"landing_page_url":"https://doaj.org/article/a0b447e7447845128d875297de6ba1fd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 11, p 2043 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym15112043","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15112043","pdf_url":"https://www.mdpi.com/2073-8994/15/11/2043/pdf?version=1699616170","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388634689.pdf","grobid_xml":"https://content.openalex.org/works/W4388634689.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W38708963","https://openalex.org/W1571400085","https://openalex.org/W1571795992","https://openalex.org/W1967243514","https://openalex.org/W1980564456","https://openalex.org/W2033401964","https://openalex.org/W2068069653","https://openalex.org/W2068843436","https://openalex.org/W2080883139","https://openalex.org/W2212274699","https://openalex.org/W2514754342","https://openalex.org/W2549088488","https://openalex.org/W2584571300","https://openalex.org/W2891154333","https://openalex.org/W2967712935","https://openalex.org/W3012809688","https://openalex.org/W3016803106","https://openalex.org/W3112602384","https://openalex.org/W3193719026","https://openalex.org/W4210449259","https://openalex.org/W4211007335","https://openalex.org/W4290694432","https://openalex.org/W4362724466","https://openalex.org/W4382602097","https://openalex.org/W6601611619","https://openalex.org/W6667787319","https://openalex.org/W6775440911","https://openalex.org/W6787345346"],"related_works":["https://openalex.org/W2759034519","https://openalex.org/W2039808376","https://openalex.org/W2765751770","https://openalex.org/W2143984145","https://openalex.org/W1989330523","https://openalex.org/W2799947401","https://openalex.org/W3210625115","https://openalex.org/W2762200401","https://openalex.org/W2554273963","https://openalex.org/W2147551390"],"abstract_inverted_index":{"Aiming":[0],"at":[1],"the":[2,9,13,17,40,45,59,69,72,78,83,99,108,112,116,131,145],"fuzzification":[3],"of":[4,11,47,61,71,85,89,111],"a":[5,48,56],"decision":[6],"environment":[7],"and":[8,63,77,87,98,126,149],"challenge":[10],"determining":[12],"weights":[14,65],"associated":[15],"with":[16],"interaction":[18],"among":[19],"decision-makers,":[20],"this":[21],"study":[22],"offers":[23],"an":[24,92],"original":[25],"method":[26],"for":[27,107],"(p,q)-rung":[28,132],"probabilistic":[29,49,133],"hesitant":[30,50,134],"orthopair":[31,135],"fuzzy":[32,51,136],"multi-objective":[33],"group":[34],"decision-making,":[35],"which":[36],"is":[37,53,66,96,102],"founded":[38],"on":[39],"weight":[41],"optimization":[42],"principle.":[43],"Firstly,":[44],"notion":[46],"set":[52],"expanded":[54],"to":[55,82,104,128,143],"(p,q)-rung.":[57],"Secondly,":[58],"determination":[60],"subjective":[62],"objective":[64,94],"accomplished":[67],"through":[68],"utilization":[70],"Analytic":[73],"Network":[74],"Process":[75],"(ANP)":[76],"Entropy":[79],"Method.":[80],"According":[81],"degree":[84],"deviation":[86],"dispersion":[88],"each":[90],"weight,":[91],"optimal":[93],"function":[95],"constructed,":[97],"neural":[100],"network":[101],"used":[103,142],"iteratively":[105],"solve":[106],"best":[109],"scheme":[110],"comprehensive":[113],"weight.":[114],"Subsequently,":[115],"Elimination":[117],"Et":[118],"Choice":[119],"Translating":[120],"Reality":[121],"(ELECTRE)":[122],"approach":[123],"was":[124,141],"refined":[125],"applied":[127],"decision-making":[129],"in":[130],"environment.":[137],"Finally,":[138],"comparative":[139],"analysis":[140],"demonstrate":[144],"new":[146],"method\u2019s":[147],"effectiveness":[148],"superiority.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2023-11-14T00:00:00"}