{"id":"https://openalex.org/W2184507850","doi":"https://doi.org/10.1007/978-3-642-03664-4_142","title":"The Method for Ranking Fuzzy Numbers Based on the Centroid Index and the Fuzziness Degree","display_name":"The Method for Ranking Fuzzy Numbers Based on the Centroid Index and the Fuzziness Degree","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2184507850","doi":"https://doi.org/10.1007/978-3-642-03664-4_142","mag":"2184507850"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03664-4_142","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03664-4_142","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5101668331","display_name":"Zhongxing Wang","orcid":"https://orcid.org/0000-0003-0390-8017"},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhong-xing Wang","raw_affiliation_strings":["Department of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China","Guangxi University,Nanning)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China","institution_ids":["https://openalex.org/I150807315"]},{"raw_affiliation_string":"Guangxi University,Nanning)","institution_ids":["https://openalex.org/I150807315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100402605","display_name":"Jian Li","orcid":"https://orcid.org/0000-0003-3100-2327"},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Li","raw_affiliation_strings":["Department of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China","Guangxi University,Nanning)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China","institution_ids":["https://openalex.org/I150807315"]},{"raw_affiliation_string":"Guangxi University,Nanning)","institution_ids":["https://openalex.org/I150807315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015881257","display_name":"Shan-lin Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shan-lin Gao","raw_affiliation_strings":["Department of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China","Guangxi University,Nanning)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China","institution_ids":["https://openalex.org/I150807315"]},{"raw_affiliation_string":"Guangxi University,Nanning)","institution_ids":["https://openalex.org/I150807315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101668331"],"corresponding_institution_ids":["https://openalex.org/I150807315"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15393452,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1335","last_page":"1342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9997000098228455,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987999796867371,"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":0.9607999920845032,"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/centroid","display_name":"Centroid","score":0.78071129322052},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7330472469329834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6635810136795044},{"id":"https://openalex.org/keywords/dominance","display_name":"Dominance (genetics)","score":0.6361813545227051},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5610870122909546},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5384021401405334},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.37841805815696716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2903999984264374},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26663392782211304},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06277969479560852},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.03668010234832764}],"concepts":[{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.78071129322052},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7330472469329834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6635810136795044},{"id":"https://openalex.org/C151913843","wikidata":"https://www.wikidata.org/wiki/Q3454555","display_name":"Dominance (genetics)","level":3,"score":0.6361813545227051},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5610870122909546},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5384021401405334},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.37841805815696716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2903999984264374},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26663392782211304},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06277969479560852},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.03668010234832764},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-03664-4_142","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03664-4_142","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1920073574","https://openalex.org/W1965387747","https://openalex.org/W2026832772","https://openalex.org/W2043001097","https://openalex.org/W2051798785","https://openalex.org/W2062014224","https://openalex.org/W2069069851","https://openalex.org/W2086390519","https://openalex.org/W2149276443","https://openalex.org/W2716922966"],"related_works":["https://openalex.org/W2381926679","https://openalex.org/W2611300636","https://openalex.org/W2082644203","https://openalex.org/W3165040664","https://openalex.org/W2007009951","https://openalex.org/W2350539780","https://openalex.org/W2002351209","https://openalex.org/W3122652148","https://openalex.org/W1583866266","https://openalex.org/W4242386713"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
