{"id":"https://openalex.org/W2846702895","doi":"https://doi.org/10.1155/2018/2104343","title":"An Application of Interval Arithmetic for Solving Fully Fuzzy Linear Systems with Trapezoidal Fuzzy Numbers","display_name":"An Application of Interval Arithmetic for Solving Fully Fuzzy Linear Systems with Trapezoidal Fuzzy Numbers","publication_year":2018,"publication_date":"2018-07-11","ids":{"openalex":"https://openalex.org/W2846702895","doi":"https://doi.org/10.1155/2018/2104343","mag":"2846702895"},"language":"en","primary_location":{"id":"doi:10.1155/2018/2104343","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/2104343","pdf_url":"http://downloads.hindawi.com/journals/afs/2018/2104343.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/afs/2018/2104343.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050369510","display_name":"Esmaeil Siahlooei","orcid":"https://orcid.org/0000-0002-7903-9244"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Esmaeil Siahlooei","raw_affiliation_strings":["Department of Computer Science, Yazd University, Yazd, Iran"],"raw_orcid":"https://orcid.org/0000-0002-7903-9244","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078757579","display_name":"Seyed Abolfazl Shahzadeh Fazeli","orcid":"https://orcid.org/0000-0002-3724-8689"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Seyed Abolfazl Shahzadeh Fazeli","raw_affiliation_strings":["Department of Computer Science, Yazd University, Yazd, Iran","Processing Laboratory, Yazd University, Yazd, Iran"],"raw_orcid":"https://orcid.org/0000-0002-3724-8689","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]},{"raw_affiliation_string":"Processing Laboratory, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078757579"],"corresponding_institution_ids":["https://openalex.org/I112536369"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":1.4496,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.83670785,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2018","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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":1.0,"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":0.9975000023841858,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6441140174865723},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6075669527053833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5034670233726501},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4565969407558441},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36863183975219727},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2734465003013611},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08894956111907959}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6441140174865723},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6075669527053833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5034670233726501},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4565969407558441},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36863183975219727},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2734465003013611},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08894956111907959}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2018/2104343","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/2104343","pdf_url":"http://downloads.hindawi.com/journals/afs/2018/2104343.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b9f9b56b4b704c309ba79cb975b4f8b1","is_oa":true,"landing_page_url":"https://doaj.org/article/b9f9b56b4b704c309ba79cb975b4f8b1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Fuzzy Systems, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/2104343","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/2104343","pdf_url":"http://downloads.hindawi.com/journals/afs/2018/2104343.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2846702895.pdf","grobid_xml":"https://content.openalex.org/works/W2846702895.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W398842980","https://openalex.org/W1788451143","https://openalex.org/W1968027854","https://openalex.org/W1994564996","https://openalex.org/W2003318248","https://openalex.org/W2008200104","https://openalex.org/W2036102558","https://openalex.org/W2038857808","https://openalex.org/W2047341491","https://openalex.org/W2080437792","https://openalex.org/W2085557913","https://openalex.org/W2100378963","https://openalex.org/W2115135862","https://openalex.org/W2132052461","https://openalex.org/W2144558992","https://openalex.org/W2170112393","https://openalex.org/W2219740676","https://openalex.org/W2413686793","https://openalex.org/W2512210847"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,20,25,46],"method":[3,18,57],"for":[4],"solving":[5],"fully":[6,26,47],"fuzzy":[7,14,27,48],"linear":[8,28,49],"systems":[9],"using":[10,52],"interval":[11,39,53,59,64,81],"aspects":[12],"of":[13,33,38,45,79,96,108],"numbers.":[15],"This":[16,55],"new":[17,56,63,74],"uses":[19,58],"decomposition":[21,34],"technique":[22],"to":[23,104],"convert":[24],"system":[29,50],"into":[30],"two":[31,62],"types":[32],"in":[35,93],"the":[36,43,94,106],"form":[37],"matrices.":[40],"It":[41],"finds":[42],"solution":[44],"by":[51],"operations.":[54],"arithmetic":[60],"and":[61,69,86],"operations":[65,82],"<mml:math":[66,70,83,87],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[67,71,84,88],"id=\"M1\"><mml:mrow><mml:mo>\u2296</mml:mo></mml:mrow></mml:math>":[68],"id=\"M2\"><mml:mrow><mml:mo>\u2298</mml:mo></mml:mrow></mml:math>.":[72],"These":[73],"operations,":[75],"which":[76],"are":[77,102],"inverses":[78],"basic":[80],"id=\"M3\"><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:math>":[85],"id=\"M4\"><mml:mrow><mml:mo>\u00d7</mml:mo></mml:mrow></mml:math>,":[89],"will":[90],"be":[91],"presented":[92],"middle":[95],"this":[97],"paper.":[98],"Some":[99],"numerical":[100],"examples":[101],"given":[103],"illustrate":[105],"ability":[107],"proposed":[109],"methods.":[110]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
