{"id":"https://openalex.org/W1976908795","doi":"https://doi.org/10.1109/fskd.2011.6019703","title":"Ranking fuzzy numbers based on fuzzy mean and standard deviation","display_name":"Ranking fuzzy numbers based on fuzzy mean and standard deviation","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W1976908795","doi":"https://doi.org/10.1109/fskd.2011.6019703","mag":"1976908795"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2011.6019703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2011.6019703","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","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/A5046952263","display_name":"Lian-sen Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liansen Zhu","raw_affiliation_strings":["School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, China","School of Mathematics and Information Sciences, Guangzhou University, 510006 China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]},{"raw_affiliation_string":"School of Mathematics and Information Sciences, Guangzhou University, 510006 China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112122957","display_name":"Ruoning Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruoning Xu","raw_affiliation_strings":["School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, China","School of Mathematics and Information Sciences, Guangzhou University, 510006 China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]},{"raw_affiliation_string":"School of Mathematics and Information Sciences, Guangzhou University, 510006 China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046952263"],"corresponding_institution_ids":["https://openalex.org/I37987034"],"apc_list":null,"apc_paid":null,"fwci":1.6389,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84119203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":null,"first_page":"854","last_page":"857"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9986000061035156,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9865000247955322,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.7327669858932495},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.7103689908981323},{"id":"https://openalex.org/keywords/standard-deviation","display_name":"Standard deviation","score":0.6816789507865906},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6082062125205994},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4953080713748932},{"id":"https://openalex.org/keywords/absolute-deviation","display_name":"Absolute deviation","score":0.4946396052837372},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.49425578117370605},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.48027515411376953},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4418157637119293},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.43436944484710693},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.42829620838165283},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42445647716522217},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4220642149448395},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3553389310836792},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28046971559524536}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7327669858932495},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.7103689908981323},{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.6816789507865906},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6082062125205994},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4953080713748932},{"id":"https://openalex.org/C120934525","wikidata":"https://www.wikidata.org/wiki/Q849149","display_name":"Absolute deviation","level":2,"score":0.4946396052837372},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.49425578117370605},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.48027515411376953},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4418157637119293},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.43436944484710693},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.42829620838165283},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42445647716522217},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4220642149448395},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3553389310836792},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28046971559524536}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2011.6019703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2011.6019703","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W111796927","https://openalex.org/W194786220","https://openalex.org/W1969140532","https://openalex.org/W2016303054","https://openalex.org/W2026832772","https://openalex.org/W2051798785","https://openalex.org/W2063567490","https://openalex.org/W2084122390","https://openalex.org/W2086147261","https://openalex.org/W2912565176","https://openalex.org/W4210259099","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W4242970302","https://openalex.org/W2253053392","https://openalex.org/W2331106272","https://openalex.org/W1542808721","https://openalex.org/W2674573885","https://openalex.org/W1489009679","https://openalex.org/W3176863924","https://openalex.org/W2325893522","https://openalex.org/W2025902904"],"abstract_inverted_index":{"Many":[0],"ranking":[1,36],"methods":[2],"for":[3,35],"fuzzy":[4,37,46,50],"numbers":[5,38],"have":[6],"been":[7],"proposed":[8,62],"so":[9],"far.":[10],"However,":[11],"there":[12],"is":[13],"yet":[14],"no":[15],"method":[16,34,63],"that":[17],"can":[18],"always":[19],"give":[20,55],"a":[21,32],"satisfactory":[22],"solution":[23],"to":[24,59],"every":[25],"situation.":[26],"In":[27],"this":[28],"paper":[29],"we":[30,54],"propose":[31],"new":[33],"based":[39],"on":[40],"two":[41],"different":[42],"criteria,":[43],"namely,":[44],"the":[45,49,61],"mean":[47],"and":[48,64],"standard":[51],"deviation.":[52],"Finally":[53],"some":[56],"numerical":[57],"examples":[58],"illustrate":[60],"compare":[65],"with":[66],"other":[67],"methods.":[68]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}