{"id":"https://openalex.org/W2007446936","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891729","title":"Ranking fuzzy numbers by their expansion center","display_name":"Ranking fuzzy numbers by their expansion center","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2007446936","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891729","mag":"2007446936"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2014.6891729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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/A5107949015","display_name":"Zhenyuan Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I122266389","display_name":"University of Nebraska at Omaha","ror":"https://ror.org/04yrkc140","country_code":"US","type":"education","lineage":["https://openalex.org/I122266389"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zhenyuan Wang","raw_affiliation_strings":["Department of Mathematics, University of Nebraska at Omaha Omaha, USA","Department of Mathematics, University of Nebraska at Omaha, Omaha, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nebraska at Omaha Omaha, USA","institution_ids":["https://openalex.org/I122266389"]},{"raw_affiliation_string":"Department of Mathematics, University of Nebraska at Omaha, Omaha, USA#TAB#","institution_ids":["https://openalex.org/I122266389"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058643261","display_name":"Li Zhang-Westman","orcid":null},"institutions":[{"id":"https://openalex.org/I122266389","display_name":"University of Nebraska at Omaha","ror":"https://ror.org/04yrkc140","country_code":"US","type":"education","lineage":["https://openalex.org/I122266389"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li Zhang-Westman","raw_affiliation_strings":["Department of Economics, University of Nebraska at Omaha, Omaha, USA"],"affiliations":[{"raw_affiliation_string":"Department of Economics, University of Nebraska at Omaha, Omaha, USA","institution_ids":["https://openalex.org/I122266389"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5107949015"],"corresponding_institution_ids":["https://openalex.org/I122266389"],"apc_list":null,"apc_paid":null,"fwci":1.61389114,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.87679924,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"2533","last_page":"2537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13832","display_name":"Advanced Decision-Making Techniques","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T13832","display_name":"Advanced Decision-Making Techniques","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9822999835014343,"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/T14368","display_name":"Evaluation and Optimization Models","score":0.9769999980926514,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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":0.7588491439819336},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5984020233154297},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.583938479423523},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.57392817735672},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5488291382789612},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5242424607276917},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.5139681696891785},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5113617777824402},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47324496507644653},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.45289933681488037},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.45113831758499146},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.440791517496109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4307648539543152},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4206969738006592},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4133187532424927}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7588491439819336},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5984020233154297},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.583938479423523},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.57392817735672},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5488291382789612},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5242424607276917},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.5139681696891785},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5113617777824402},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47324496507644653},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.45289933681488037},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.45113831758499146},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.440791517496109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4307648539543152},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4206969738006592},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4133187532424927},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2014.6891729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.800000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W582841242","https://openalex.org/W1898259180","https://openalex.org/W1965387747","https://openalex.org/W2008304951","https://openalex.org/W2016303054","https://openalex.org/W2026832772","https://openalex.org/W2051798785","https://openalex.org/W2057131692","https://openalex.org/W2063567490","https://openalex.org/W2071200009","https://openalex.org/W2078538587","https://openalex.org/W2085386836","https://openalex.org/W2086390519","https://openalex.org/W2149276443","https://openalex.org/W2186186800","https://openalex.org/W2330022088","https://openalex.org/W2400908863","https://openalex.org/W4237230005","https://openalex.org/W4299785396","https://openalex.org/W6617025473","https://openalex.org/W6686572425"],"related_works":["https://openalex.org/W1487720066","https://openalex.org/W1975005191","https://openalex.org/W2781808531","https://openalex.org/W2253053392","https://openalex.org/W3107001035","https://openalex.org/W4361984403","https://openalex.org/W3207735076","https://openalex.org/W1501518539","https://openalex.org/W2674573885","https://openalex.org/W2025902904"],"abstract_inverted_index":{"Based":[0],"on":[1,38],"the":[2,5,8,12,20],"area":[3],"between":[4],"curve":[6],"of":[7],"membership":[9],"function":[10],"and":[11,30,55],"horizontal":[13],"real":[14],"axes,":[15],"a":[16],"new":[17,46],"index,":[18],"called":[19],"expansion":[21,40],"center":[22,41],"for":[23,34],"fuzzy":[24,35,52,56],"numbers":[25,36],"is":[26,42,49],"proposed.":[27],"An":[28],"intuitive":[29],"reasonable":[31],"ranking":[32,47],"method":[33,48],"based":[37],"their":[39],"also":[43],"established.":[44],"This":[45],"useful":[50],"in":[51],"decision":[53],"making":[54],"data":[57],"mining.":[58]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"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"}