{"id":"https://openalex.org/W2114747033","doi":"https://doi.org/10.1109/icsmc.2009.5346121","title":"Combining weights into scores: A linear transform approach","display_name":"Combining weights into scores: A linear transform approach","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W2114747033","doi":"https://doi.org/10.1109/icsmc.2009.5346121","mag":"2114747033"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2009.5346121","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5346121","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Systems, Man and Cybernetics","raw_type":"proceedings-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/A5113588307","display_name":"Sam Yuan Sung","orcid":null},"institutions":[{"id":"https://openalex.org/I126638653","display_name":"South Texas College","ror":"https://ror.org/03038ad20","country_code":"US","type":"education","lineage":["https://openalex.org/I126638653"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sam Yuan Sung","raw_affiliation_strings":["Department of Computer Science, South Texas College, McAllen, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, South Texas College, McAllen, USA","institution_ids":["https://openalex.org/I126638653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102586041","display_name":"Tianmin Hu","orcid":"https://orcid.org/0009-0007-0647-9103"},"institutions":[{"id":"https://openalex.org/I2799850029","display_name":"Dongguan University of Technology","ror":"https://ror.org/01m8p7q42","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799850029"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianmin Hu","raw_affiliation_strings":["Department of Computer Science, Dongguan University of Technology, Dongguan, China","Department of Computer Science, DongGuan University of Technology, DongGuan, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Dongguan University of Technology, Dongguan, China","institution_ids":["https://openalex.org/I2799850029"]},{"raw_affiliation_string":"Department of Computer Science, DongGuan University of Technology, DongGuan, China#TAB#","institution_ids":["https://openalex.org/I2799850029"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113588307"],"corresponding_institution_ids":["https://openalex.org/I126638653"],"apc_list":null,"apc_paid":null,"fwci":0.3525,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57542958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2636","last_page":"2641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9943000078201294,"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":0.9927999973297119,"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/ranking","display_name":"Ranking (information retrieval)","score":0.827828586101532},{"id":"https://openalex.org/keywords/scoring-rule","display_name":"Scoring rule","score":0.7135505676269531},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5900213718414307},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5858524441719055},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.5574728846549988},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4446905255317688},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.43080437183380127},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40755191445350647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33835697174072266},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.27871957421302795}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.827828586101532},{"id":"https://openalex.org/C63002673","wikidata":"https://www.wikidata.org/wiki/Q2260590","display_name":"Scoring rule","level":2,"score":0.7135505676269531},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5900213718414307},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5858524441719055},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.5574728846549988},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4446905255317688},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.43080437183380127},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40755191445350647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33835697174072266},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.27871957421302795},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2009.5346121","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5346121","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Systems, Man and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W64531727","https://openalex.org/W1538076623","https://openalex.org/W1558190544","https://openalex.org/W1660390307","https://openalex.org/W1971503800","https://openalex.org/W1995999642","https://openalex.org/W2014214819","https://openalex.org/W2033448786","https://openalex.org/W2043715088","https://openalex.org/W2061272711","https://openalex.org/W2076556084","https://openalex.org/W2094320135","https://openalex.org/W2117100923","https://openalex.org/W2134627110","https://openalex.org/W2134791164","https://openalex.org/W2168605051","https://openalex.org/W2248652221","https://openalex.org/W3179878372","https://openalex.org/W4206542201","https://openalex.org/W6633584931"],"related_works":["https://openalex.org/W2604390721","https://openalex.org/W2008940396","https://openalex.org/W2182204190","https://openalex.org/W3021337252","https://openalex.org/W1815609253","https://openalex.org/W2908333189","https://openalex.org/W2526856061","https://openalex.org/W2081541855","https://openalex.org/W4298034124","https://openalex.org/W2066332481"],"abstract_inverted_index":{"Ranking":[0],"has":[1],"been":[2],"widely":[3],"used":[4],"in":[5,65],"many":[6,38],"applications.":[7],"A":[8,28],"ranking":[9],"scheme":[10,58,72],"usually":[11],"employs":[12],"a":[13,18,57,66],"scoring":[14,29,90,100],"rule":[15,30],"that":[16,48,59,85],"assigns":[17],"final":[19],"numerical":[20],"value":[21],"to":[22,25,37,45,73],"every":[23],"object":[24],"be":[26],"ranked.":[27],"normally":[31],"involves":[32],"the":[33,46,74],"use":[34],"of":[35],"one":[36],"scores,":[39],"and":[40,69],"it":[41],"gives":[42],"more":[43,50],"weight":[44],"scores":[47,64],"are":[49,81,86],"important.":[51],"In":[52],"this":[53],"paper,":[54],"we":[55,93],"give":[56],"can":[60],"combine":[61],"weights":[62],"into":[63],"natural":[67],"way":[68],"compare":[70],"our":[71],"formula":[75],"given":[76,80],"by":[77],"Fagin.":[78],"Also":[79],"some":[82],"additional":[83],"properties":[84],"desirable":[87],"for":[88],"weighted":[89,99],"rules.":[91,101],"Finally,":[92],"discuss":[94],"other":[95],"interesting":[96],"issues":[97],"on":[98]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
