{"id":"https://openalex.org/W1976101282","doi":"https://doi.org/10.1109/tfuzz.2011.2140325","title":"Using Fuzzy Numbers in Network Design Optimization Problems","display_name":"Using Fuzzy Numbers in Network Design Optimization Problems","publication_year":2011,"publication_date":"2011-04-08","ids":{"openalex":"https://openalex.org/W1976101282","doi":"https://doi.org/10.1109/tfuzz.2011.2140325","mag":"1976101282"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2011.2140325","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2011.2140325","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy 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":"https://openalex.org/A5012498067","display_name":"Bel\u00e9n Meli\u00e1n-Batista","orcid":"https://orcid.org/0000-0001-9577-6247"},"institutions":[{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"B. Melian","raw_affiliation_strings":["Departamento Estad\u00edstica, I.O. y Computaci\u00f3n, University of La Laguna, La Laguna, Spain","Dept. Estadistica, I.O. y Comput., Univ. of La Laguna, La Laguna, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento Estad\u00edstica, I.O. y Computaci\u00f3n, University of La Laguna, La Laguna, Spain","institution_ids":["https://openalex.org/I158438070"]},{"raw_affiliation_string":"Dept. Estadistica, I.O. y Comput., Univ. of La Laguna, La Laguna, Spain","institution_ids":["https://openalex.org/I158438070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010560354","display_name":"Jos\u00e9 Lu\u00eds Verdegay","orcid":"https://orcid.org/0000-0003-2487-942X"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. L. Verdegay","raw_affiliation_strings":["Departamento Ciencias de la Computaci\u00f3n e Inteligencia Artificial, University of Granada, Granada, Spain","Dept. Cienc. de la Comput. e Intel. Artificial, Univ. of Granada, Granada, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento Ciencias de la Computaci\u00f3n e Inteligencia Artificial, University of Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]},{"raw_affiliation_string":"Dept. Cienc. de la Comput. e Intel. Artificial, Univ. of Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0496,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.90566257,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"5","first_page":"797","last_page":"806"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/vagueness","display_name":"Vagueness","score":0.7418245077133179},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6805285215377808},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6564709544181824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6491295099258423},{"id":"https://openalex.org/keywords/network-planning-and-design","display_name":"Network planning and design","score":0.6429224014282227},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5334630012512207},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5215916037559509},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.46242183446884155},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4462845027446747},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4111021161079407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19462212920188904},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16218918561935425},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11252832412719727}],"concepts":[{"id":"https://openalex.org/C2776825360","wikidata":"https://www.wikidata.org/wiki/Q1411921","display_name":"Vagueness","level":3,"score":0.7418245077133179},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6805285215377808},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6564709544181824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6491295099258423},{"id":"https://openalex.org/C114563136","wikidata":"https://www.wikidata.org/wiki/Q19725982","display_name":"Network planning and design","level":2,"score":0.6429224014282227},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5334630012512207},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5215916037559509},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.46242183446884155},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4462845027446747},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4111021161079407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19462212920188904},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16218918561935425},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11252832412719727},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2011.2140325","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2011.2140325","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W207403168","https://openalex.org/W599837944","https://openalex.org/W651268961","https://openalex.org/W1969831929","https://openalex.org/W1991010804","https://openalex.org/W2003780271","https://openalex.org/W2027072537","https://openalex.org/W2059823667","https://openalex.org/W2069780867","https://openalex.org/W2076556084","https://openalex.org/W2089127907","https://openalex.org/W2096112460","https://openalex.org/W2104997845","https://openalex.org/W2113841111","https://openalex.org/W2158358659","https://openalex.org/W2359522412","https://openalex.org/W4244216968","https://openalex.org/W6676089747"],"related_works":["https://openalex.org/W2060617333","https://openalex.org/W2093381264","https://openalex.org/W2060378619","https://openalex.org/W2085182244","https://openalex.org/W2917836534","https://openalex.org/W2040401713","https://openalex.org/W1899703204","https://openalex.org/W4285278887","https://openalex.org/W2080087838","https://openalex.org/W2365237642"],"abstract_inverted_index":{"The":[0,37,77],"fluctuations":[1],"that":[2,25,51,79],"have":[3,26],"taken":[4],"place":[5],"in":[6,30,81],"the":[7,11,20,23,57,68,111,115],"worldwide":[8],"economy":[9],"over":[10],"past":[12],"few":[13],"years":[14],"make":[15],"it":[16],"difficult":[17],"to":[18,27,32,62,102,109,117],"estimate":[19],"costs":[21],"of":[22,90],"equipment":[24,63],"be":[28,103],"used":[29,104],"order":[31],"design":[33,49,75],"a":[34,131],"telecommunications":[35],"network.":[36],"literature":[38],"is":[39,84,99,124,130],"replete":[40],"with":[41],"prescriptive":[42],"integer":[43,95],"programming":[44,97],"models":[45],"for":[46],"various":[47],"network":[48,74,120],"problems":[50,58],"do":[52],"not":[53],"take":[54],"into":[55],"account":[56],"inherent":[59],"vagueness":[60,78],"due":[61],"costs.":[64],"This":[65],"paper":[66],"considers":[67],"real-world":[69],"wavelength":[70],"division":[71],"multiplexing":[72],"(WDM)":[73],"problem.":[76,113],"appears":[80],"this":[82,122],"problem":[83],"assumed":[85],"and":[86],"handled":[87],"by":[88],"means":[89],"fuzzy-set-based":[91],"methodologies.":[92],"A":[93],"fuzzy":[94],"linear":[96],"model":[98,108,123],"then":[100,125],"proposed":[101],"as":[105],"an":[106],"auxiliary":[107],"solve":[110],"former":[112],"With":[114],"purpose":[116],"obtain":[118],"cost-effective":[119],"designs,":[121],"solved":[126],"using":[127],"Cplex,":[128],"which":[129],"commercial":[132],"high-performance":[133],"optimization":[134],"engine.":[135]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
