{"id":"https://openalex.org/W2121387950","doi":"https://doi.org/10.1109/ifsa-nafips.2013.6608384","title":"Linguistic Weighted Standard Deviation","display_name":"Linguistic Weighted Standard Deviation","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2121387950","doi":"https://doi.org/10.1109/ifsa-nafips.2013.6608384","mag":"2121387950"},"language":"en","primary_location":{"id":"doi:10.1109/ifsa-nafips.2013.6608384","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifsa-nafips.2013.6608384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS)","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/A5015300513","display_name":"Minshen Hao","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Minshen Hao","raw_affiliation_strings":["Signal and Image Processing Institute, Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Signal and Image Processing Institute, Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028699912","display_name":"Jerry M. Mendel","orcid":"https://orcid.org/0000-0001-6377-2452"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jerry M. Mendel","raw_affiliation_strings":["Signal and Image Processing Institute, Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Signal and Image Processing Institute, Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015300513"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":0.8219,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.785536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"3","issue":null,"first_page":"108","last_page":"113"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9794999957084656,"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"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9624999761581421,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/standard-deviation","display_name":"Standard deviation","score":0.9035636186599731},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5263111591339111},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5144107937812805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.465550035238266},{"id":"https://openalex.org/keywords/weighted-arithmetic-mean","display_name":"Weighted arithmetic mean","score":0.42529940605163574},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3995453119277954}],"concepts":[{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.9035636186599731},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5263111591339111},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5144107937812805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.465550035238266},{"id":"https://openalex.org/C9490382","wikidata":"https://www.wikidata.org/wiki/Q729113","display_name":"Weighted arithmetic mean","level":2,"score":0.42529940605163574},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3995453119277954},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ifsa-nafips.2013.6608384","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifsa-nafips.2013.6608384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1884682755","https://openalex.org/W1935347069","https://openalex.org/W1972708544","https://openalex.org/W1989650218","https://openalex.org/W1991377734","https://openalex.org/W1997092357","https://openalex.org/W2020694587","https://openalex.org/W2021187976","https://openalex.org/W2042512320","https://openalex.org/W2073237901","https://openalex.org/W2085172394","https://openalex.org/W2095726993","https://openalex.org/W2097130997","https://openalex.org/W2111628113","https://openalex.org/W2117653088","https://openalex.org/W2117961832","https://openalex.org/W2119360926","https://openalex.org/W2119388152","https://openalex.org/W2121646635","https://openalex.org/W2134224545","https://openalex.org/W2138422333","https://openalex.org/W2143760316","https://openalex.org/W2153544119","https://openalex.org/W2155263265","https://openalex.org/W2157542158","https://openalex.org/W2168250636","https://openalex.org/W2171270694","https://openalex.org/W2539858250","https://openalex.org/W2542296737","https://openalex.org/W3150195143","https://openalex.org/W4247749894","https://openalex.org/W6684907028"],"related_works":["https://openalex.org/W2114530358","https://openalex.org/W3091046250","https://openalex.org/W2007515154","https://openalex.org/W2380321258","https://openalex.org/W2009636294","https://openalex.org/W2299112462","https://openalex.org/W4293266442","https://openalex.org/W2042620267","https://openalex.org/W2009413225","https://openalex.org/W2121387950"],"abstract_inverted_index":{"In":[0],"classical":[1],"statistics,":[2,7],"the":[3,9,15,22,25,34,52,72,81,84,88,100,110,116,128,149,152],"first-":[4],"and":[5,11,28,71,115],"second-order":[6],"i.e.,":[8],"mean":[10],"standard":[12,26,35,48],"deviation,":[13],"are":[14,103,112,144],"most":[16],"important":[17,158],"ones.":[18],"This":[19],"paper":[20],"extends":[21],"definition":[23],"of":[24,80,151],"deviation":[27,36,49],"makes":[29],"it":[30],"possible":[31],"to":[32,92,134],"compute":[33],"when":[37,83,138],"data":[38,111,142],"contains":[39],"not":[40],"only":[41,139],"numbers,":[42],"but":[43],"also":[44,66],"words.":[45],"The":[46,58],"generalized":[47],"is":[50,65,74,90,106,118],"called":[51],"Linguistic":[53,59],"Weighted":[54,60],"Standard":[55],"Deviation":[56],"(LWSD).":[57],"Power":[61],"Mean":[62],"(LWPM)":[63],"operation":[64],"reviewed":[67],"in":[68,87,160],"this":[69],"paper,":[70],"LWSD":[73,102,129,153],"viewed":[75],"as":[76],"a":[77,119,135],"special":[78],"case":[79],"LWPM":[82,89],"parameter":[85],"r":[86],"set":[91],"be":[93],"2.":[94],"Two":[95],"numerical":[96],"examples":[97,125],"that":[98,127,148],"utilize":[99],"new":[101],"presented:":[104],"one":[105],"synthetic":[107],"where":[108],"all":[109],"generated":[113],"randomly,":[114],"other":[117],"practical":[120],"decision":[121,136],"making":[122],"problem.":[123],"These":[124],"demonstrate":[126],"can":[130],"provide":[131],"extra":[132],"information":[133],"maker":[137],"uncertain":[140],"input":[141],"(words)":[143],"available.":[145],"We":[146],"believe":[147],"concept":[150],"will":[154],"certainly":[155],"play":[156],"an":[157],"role":[159],"many":[161],"future":[162],"applications.":[163]},"counts_by_year":[{"year":2023,"cited_by_count":6},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
