{"id":"https://openalex.org/W1985683389","doi":"https://doi.org/10.12989/csm.2012.1.4.345","title":"Fuzzy finite element method for solving uncertain heat conduction problems","display_name":"Fuzzy finite element method for solving uncertain heat conduction problems","publication_year":2012,"publication_date":"2012-12-25","ids":{"openalex":"https://openalex.org/W1985683389","doi":"https://doi.org/10.12989/csm.2012.1.4.345","mag":"1985683389"},"language":"en","primary_location":{"id":"doi:10.12989/csm.2012.1.4.345","doi":"https://doi.org/10.12989/csm.2012.1.4.345","is_oa":false,"landing_page_url":"https://doi.org/10.12989/csm.2012.1.4.345","pdf_url":null,"source":{"id":"https://openalex.org/S4210186152","display_name":"Coupled systems mechanics an international journal","issn_l":"2234-2184","issn":["2234-2184","2234-2192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","poland-40","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Coupled Systems Mechanics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5017042977","display_name":"Snehashish Chakraverty","orcid":"https://orcid.org/0000-0003-4857-644X","observed_orcids":["https://orcid.org/0000-0003-4857-644X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Chakraverty","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5039983638","display_name":"Sukanta Nayak","orcid":"https://orcid.org/0000-0002-8895-8162","observed_orcids":["https://orcid.org/0000-0002-8895-8162"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Nayak","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0431,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.8697782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"1","issue":"4","first_page":"345","last_page":"360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9980000257492065,"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":0.9980000257492065,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.0010000000474974513,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/fuzzy-finite-element-method","display_name":"fuzzy finite element method","score":0.9950000047683716},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"interval arithmetic","score":0.9490000009536743},{"id":"https://openalex.org/keywords/fuzzy-arithmetic","display_name":"fuzzy arithmetic","score":0.8230000138282776},{"id":"https://openalex.org/keywords/fuzzy-numbers","display_name":"fuzzy numbers","score":0.6990000009536743}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.754824161529541},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5617896318435669},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5604126453399658},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5188666582107544},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.48978328704833984},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4577869176864624},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4288766086101532},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3951788544654846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39024820923805237},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3217148780822754},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1962595283985138},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14297300577163696},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09574982523918152},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.12989/csm.2012.1.4.345","doi":"https://doi.org/10.12989/csm.2012.1.4.345","is_oa":false,"landing_page_url":"https://doi.org/10.12989/csm.2012.1.4.345","pdf_url":null,"source":{"id":"https://openalex.org/S4210186152","display_name":"Coupled systems mechanics an international journal","issn_l":"2234-2184","issn":["2234-2184","2234-2192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","poland-40","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Coupled Systems Mechanics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W8611635","https://openalex.org/W1483874187","https://openalex.org/W1495312899","https://openalex.org/W1966576953","https://openalex.org/W1975107174","https://openalex.org/W1975593923","https://openalex.org/W1977668043","https://openalex.org/W1988061399","https://openalex.org/W1999287063","https://openalex.org/W2004759072","https://openalex.org/W2011731140","https://openalex.org/W2016868010","https://openalex.org/W2017501260","https://openalex.org/W2017803497","https://openalex.org/W2020262061","https://openalex.org/W2027450828","https://openalex.org/W2030555617","https://openalex.org/W2039449878","https://openalex.org/W2042267033","https://openalex.org/W2044770310","https://openalex.org/W2064766620","https://openalex.org/W2076366721","https://openalex.org/W2084445865","https://openalex.org/W2086434489","https://openalex.org/W2087398170","https://openalex.org/W2091581440","https://openalex.org/W2091787446","https://openalex.org/W2092523992","https://openalex.org/W2100894201","https://openalex.org/W2102716409","https://openalex.org/W2117002064","https://openalex.org/W2119633030","https://openalex.org/W2275111037","https://openalex.org/W3023870838","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W4297909327","https://openalex.org/W125444769","https://openalex.org/W7095367220","https://openalex.org/W2043218916","https://openalex.org/W1161260200","https://openalex.org/W1868725804","https://openalex.org/W2106505811","https://openalex.org/W1431351888","https://openalex.org/W2086790579","https://openalex.org/W944893491"],"abstract_inverted_index":{"In":[0,47],"this":[1,34],"article":[2],"we":[3],"have":[4,81,124],"presented":[5],"a":[6,40,67,72,86,110],"unique":[7],"representation":[8],"for":[9,30,42],"interval":[10,14,26],"arithmetic.":[11],"The":[12,78],"traditional":[13],"arithmetic":[15,27,36],"is":[16,28,37],"transformed":[17],"into":[18,58],"crisp":[19],"by":[20,127,132],"symbolic":[21],"parameterization.":[22],"Then":[23],"the":[24,49,54,101,106,149],"proposed":[25,79,150],"extended":[29],"fuzzy":[31,35,50,59,68,73,95,114,121,133,137],"numbers":[32],"and":[33,103,136,144,154],"used":[38,83],"as":[39,131],"tool":[41],"uncertain":[43],"finite":[44,51,96],"element":[45,52,97],"method.":[46,139],"general,":[48],"converts":[53],"governing":[55],"differential":[56],"equations":[57,64,116,123],"algebraic":[60,63],"equations.":[61,77],"Fuzzy":[62],"either":[65],"give":[66],"eigenvalue":[69,138],"problem":[70,88,92],"or":[71],"system":[74],"of":[75,105,113],"linear":[76,115,122],"methods":[80,151],"been":[82,125],"to":[84,99,158],"solve":[85],"test":[87],"namely":[89],"heat":[90,160],"conduction":[91,161],"along":[93],"with":[94],"method":[98,135],"see":[100],"efficacy":[102],"powerfulness":[104],"methodology.":[107],"As":[108],"such":[109,130],"coupled":[111,120],"set":[112],"are":[117,142,152],"obtained.":[118],"These":[119],"solved":[126],"two":[128],"techniques":[129],"iteration":[134],"Obtained":[140],"results":[141],"compared":[143],"it":[145],"has":[146],"seen":[147],"that":[148],"reliable":[153],"may":[155],"be":[156],"applicable":[157],"other":[159],"problems":[162],"too.":[163]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":4}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
