{"id":"https://openalex.org/W2086433664","doi":"https://doi.org/10.1142/s0218488507004649","title":"FUZZY RANDOM DEGREE-CONSTRAINED MINIMUM SPANNING TREE PROBLEM","display_name":"FUZZY RANDOM DEGREE-CONSTRAINED MINIMUM SPANNING TREE PROBLEM","publication_year":2007,"publication_date":"2007-04-01","ids":{"openalex":"https://openalex.org/W2086433664","doi":"https://doi.org/10.1142/s0218488507004649","mag":"2086433664"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488507004649","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488507004649","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":"https://openalex.org/A5101549726","display_name":"Wei Liu","orcid":"https://orcid.org/0000-0001-8123-6821"},"institutions":[{"id":"https://openalex.org/I3129593085","display_name":"Chengdu Sport University","ror":"https://ror.org/05580ht21","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129593085"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"WEI LIU","raw_affiliation_strings":["Chengdu Sports University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chengdu Sports University, Chengdu, China","institution_ids":["https://openalex.org/I3129593085"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115594188","display_name":"Chengjing Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I3129593085","display_name":"Chengdu Sport University","ror":"https://ror.org/05580ht21","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129593085"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"CHENGJING YANG","raw_affiliation_strings":["Chengdu Sports University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chengdu Sports University, Chengdu, China","institution_ids":["https://openalex.org/I3129593085"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3129593085"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08806113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"supp02","first_page":"107","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9958999752998352,"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":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/minimum-spanning-tree","display_name":"Minimum spanning tree","score":0.8851521611213684},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.7338135838508606},{"id":"https://openalex.org/keywords/kruskals-algorithm","display_name":"Kruskal's algorithm","score":0.6075121760368347},{"id":"https://openalex.org/keywords/distributed-minimum-spanning-tree","display_name":"Distributed minimum spanning tree","score":0.595747709274292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5863354802131653},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5591146945953369},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5232959389686584},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5187292695045471},{"id":"https://openalex.org/keywords/reverse-delete-algorithm","display_name":"Reverse-delete algorithm","score":0.43944990634918213},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.41107994318008423},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41022202372550964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29216164350509644},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26819318532943726},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.124610036611557}],"concepts":[{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.8851521611213684},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.7338135838508606},{"id":"https://openalex.org/C63645285","wikidata":"https://www.wikidata.org/wiki/Q797860","display_name":"Kruskal's algorithm","level":3,"score":0.6075121760368347},{"id":"https://openalex.org/C65949645","wikidata":"https://www.wikidata.org/wiki/Q5283163","display_name":"Distributed minimum spanning tree","level":3,"score":0.595747709274292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5863354802131653},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5591146945953369},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5232959389686584},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5187292695045471},{"id":"https://openalex.org/C199346575","wikidata":"https://www.wikidata.org/wiki/Q4925151","display_name":"Reverse-delete algorithm","level":4,"score":0.43944990634918213},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.41107994318008423},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41022202372550964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29216164350509644},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26819318532943726},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.124610036611557},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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:10.1142/s0218488507004649","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488507004649","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":[{"id":"https://metadata.un.org/sdg/16","score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W25274176","https://openalex.org/W192169619","https://openalex.org/W1483175286","https://openalex.org/W1497256448","https://openalex.org/W1966061878","https://openalex.org/W1977914365","https://openalex.org/W1985261575","https://openalex.org/W1986129478","https://openalex.org/W1987811848","https://openalex.org/W1995670816","https://openalex.org/W2009721924","https://openalex.org/W2011811434","https://openalex.org/W2033983963","https://openalex.org/W2039766013","https://openalex.org/W2049091291","https://openalex.org/W2049606892","https://openalex.org/W2052338628","https://openalex.org/W2053914904","https://openalex.org/W2087216833","https://openalex.org/W2124613385","https://openalex.org/W2125306618","https://openalex.org/W2125520958","https://openalex.org/W2128530362","https://openalex.org/W2138566894","https://openalex.org/W2162316218","https://openalex.org/W3143971390","https://openalex.org/W4254329280","https://openalex.org/W4254535626","https://openalex.org/W4289654428"],"related_works":["https://openalex.org/W4380840098","https://openalex.org/W2418231958","https://openalex.org/W2381121915","https://openalex.org/W4242086819","https://openalex.org/W2387385213","https://openalex.org/W2074214908","https://openalex.org/W2390742649","https://openalex.org/W2384589661","https://openalex.org/W2363076693","https://openalex.org/W2942013815"],"abstract_inverted_index":{"The":[0],"degree-constrained":[1],"minimum":[2,11],"spanning":[3,12],"tree":[4,13],"problem":[5,29],"(dc-MST)":[6],"is":[7,75],"to":[8,19,49,77,87],"find":[9],"a":[10,71],"of":[14],"the":[15,27,44,56],"given":[16],"graph,":[17],"subject":[18],"constraints":[20],"on":[21],"node":[22],"degrees.":[23],"This":[24],"paper":[25],"investigates":[26],"dc-MST":[28,47,67],"with":[30],"fuzzy":[31,39,62],"random":[32,40,63],"weights.":[33],"Three":[34],"concepts":[35,57],"are":[36,68,85],"presented:":[37],"expected":[38],"dc-MST,":[41],"(\u03b1,\u03b2)-dc-MST":[42],"and":[43,81],"most":[45],"chance":[46],"according":[48],"different":[50],"optimization":[51],"requirement.":[52],"Correspondingly,":[53],"by":[54],"using":[55],"as":[58],"decision":[59],"criteria,":[60],"three":[61],"programming":[64],"models":[65],"for":[66],"given.":[69],"Finally,":[70],"hybrid":[72],"intelligent":[73],"algorithm":[74],"designed":[76],"solve":[78],"these":[79],"models,":[80],"some":[82],"numerical":[83],"examples":[84],"provided":[86],"illustrate":[88],"its":[89],"effectiveness.":[90]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}