{"id":"https://openalex.org/W2092501839","doi":"https://doi.org/10.1142/s0218488513500372","title":"NEAREST SYMMETRIC TRAPEZOIDAL FUZZY NUMBER APPROXIMATION PRESERVING EXPECTED INTERVAL","display_name":"NEAREST SYMMETRIC TRAPEZOIDAL FUZZY NUMBER APPROXIMATION PRESERVING EXPECTED INTERVAL","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2092501839","doi":"https://doi.org/10.1142/s0218488513500372","mag":"2092501839"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488513500372","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488513500372","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-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":null,"display_name":"C. VEERAMANI","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109528","display_name":"PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH","ror":"https://ror.org/01sa9ng67","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210109528"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"C. VEERAMANI","raw_affiliation_strings":["Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore 641004, India","Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, 641004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore 641004, India","institution_ids":["https://openalex.org/I4210109528"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, 641004, India","institution_ids":["https://openalex.org/I4210109528"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066975655","display_name":"C. Duraisamy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. DURAISAMY","raw_affiliation_strings":["School of Science and Humanities, Kongu Engineering College, Erode 641046, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Humanities, Kongu Engineering College, Erode 641046, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103704294","display_name":"M. Sumathi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109528","display_name":"PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH","ror":"https://ror.org/01sa9ng67","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210109528"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. SUMATHI","raw_affiliation_strings":["Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore 641004, India","Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, 641004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore 641004, India","institution_ids":["https://openalex.org/I4210109528"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, 641004, India","institution_ids":["https://openalex.org/I4210109528"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.315,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.66309803,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"05","first_page":"777","last_page":"794"},"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":0.9991999864578247,"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":0.9908999800682068,"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/partition","display_name":"Partition (number theory)","score":0.6280300617218018},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6114175319671631},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6111748218536377},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6092413067817688},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6058388948440552},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.5224032402038574},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4136769771575928},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39053961634635925},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3893687427043915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2581867575645447},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.205616295337677},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14609429240226746}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6280300617218018},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6114175319671631},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6111748218536377},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6092413067817688},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6058388948440552},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5224032402038574},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4136769771575928},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39053961634635925},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3893687427043915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2581867575645447},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.205616295337677},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14609429240226746}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488513500372","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488513500372","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1964682347","https://openalex.org/W1979160823","https://openalex.org/W1981622065","https://openalex.org/W1986403766","https://openalex.org/W1990819810","https://openalex.org/W1999938187","https://openalex.org/W2036139376","https://openalex.org/W2038959391","https://openalex.org/W2045418937","https://openalex.org/W2049413441","https://openalex.org/W2076902277","https://openalex.org/W2088005491","https://openalex.org/W2091018455","https://openalex.org/W2092168894","https://openalex.org/W2141363098","https://openalex.org/W2182274314","https://openalex.org/W2256876472","https://openalex.org/W2328384117","https://openalex.org/W2912565176","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2160831542","https://openalex.org/W2098767154","https://openalex.org/W2334871353","https://openalex.org/W3187601603","https://openalex.org/W2173034867","https://openalex.org/W2148467997","https://openalex.org/W2066370001","https://openalex.org/W2134195944","https://openalex.org/W2525314581","https://openalex.org/W321983668"],"abstract_inverted_index":{"Fuzzy":[0],"number":[1,34],"approximation":[2,35,44],"has":[3],"been":[4],"investigated":[5],"by":[6,53],"many":[7],"researchers.":[8],"It":[9],"is":[10,51],"still":[11],"useful":[12],"to":[13,19],"develop":[14],"new":[15],"approximations":[16],"in":[17],"order":[18],"better":[20],"fit":[21],"real":[22],"world":[23],"problems.":[24],"This":[25],"paper":[26],"proposes":[27],"a":[28,48],"method":[29],"for":[30],"symmetric":[31],"trapezoidal":[32],"fuzzy":[33,49],"which":[36],"preserves":[37],"the":[38,55],"expected":[39],"interval.":[40],"Some":[41],"properties":[42],"of":[43],"are":[45],"proved":[46],"and":[47],"partition":[50],"generated":[52],"using":[54],"proposed":[56],"method.":[57]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}