{"id":"https://openalex.org/W4289346132","doi":"https://doi.org/10.1007/s40747-022-00825-3","title":"A deterministic and nature-inspired algorithm for the fuzzy multi-objective path optimization problem","display_name":"A deterministic and nature-inspired algorithm for the fuzzy multi-objective path optimization problem","publication_year":2022,"publication_date":"2022-08-01","ids":{"openalex":"https://openalex.org/W4289346132","doi":"https://doi.org/10.1007/s40747-022-00825-3"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-022-00825-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-022-00825-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-022-00825-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-022-00825-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101429470","display_name":"Yiming Ma","orcid":"https://orcid.org/0000-0002-1031-9731"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi-Ming Ma","raw_affiliation_strings":["Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin, 300300, China"],"affiliations":[{"raw_affiliation_string":"Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin, 300300, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079907239","display_name":"Xiao\u2010Bing Hu","orcid":"https://orcid.org/0000-0002-1555-0684"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]},{"id":"https://openalex.org/I114234892","display_name":"Beijing Union University","ror":"https://ror.org/01hg31662","country_code":"CN","type":"education","lineage":["https://openalex.org/I114234892"]},{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["CN","GB"],"is_corresponding":true,"raw_author_name":"Xiao-Bing Hu","raw_affiliation_strings":["Collaborative Innovation Center of eTourism, Beijing Union University, Beijing, 100101, China","Laboratory of Complex System Safety and Intelligent Decisions, College of Safety Science and Engineering, Civil Aviation University of China, Tianjin, 300300, China","School of Engineering, University of Warwick, Coventry, CV4 7AL, UK"],"affiliations":[{"raw_affiliation_string":"Collaborative Innovation Center of eTourism, Beijing Union University, Beijing, 100101, China","institution_ids":["https://openalex.org/I114234892"]},{"raw_affiliation_string":"Laboratory of Complex System Safety and Intelligent Decisions, College of Safety Science and Engineering, Civil Aviation University of China, Tianjin, 300300, China","institution_ids":["https://openalex.org/I28813325"]},{"raw_affiliation_string":"School of Engineering, University of Warwick, Coventry, CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100649872","display_name":"Hang Zhou","orcid":"https://orcid.org/0000-0002-6879-1967"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hang Zhou","raw_affiliation_strings":["Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin, 300300, China"],"affiliations":[{"raw_affiliation_string":"Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin, 300300, China","institution_ids":["https://openalex.org/I28813325"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079907239"],"corresponding_institution_ids":["https://openalex.org/I114234892","https://openalex.org/I28813325","https://openalex.org/I39555362"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":2.0511,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86680231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"9","issue":"1","first_page":"753","last_page":"765"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9871000051498413,"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/fuzzy-number","display_name":"Fuzzy number","score":0.6724268198013306},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6217344999313354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5828258991241455},{"id":"https://openalex.org/keywords/fuzzy-transportation","display_name":"Fuzzy transportation","score":0.5808192491531372},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.555539071559906},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5542845726013184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.550983726978302},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5298179388046265},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.47654420137405396},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44727686047554016},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.406912624835968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34131038188934326},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23998939990997314}],"concepts":[{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6724268198013306},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6217344999313354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5828258991241455},{"id":"https://openalex.org/C21214244","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy transportation","level":5,"score":0.5808192491531372},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.555539071559906},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5542845726013184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.550983726978302},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5298179388046265},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.47654420137405396},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44727686047554016},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.406912624835968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34131038188934326},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23998939990997314},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s40747-022-00825-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-022-00825-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-022-00825-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:168706","is_oa":true,"landing_page_url":null,"pdf_url":"https://wrap.warwick.ac.uk/168706/1/WRAP-deterministic-nature-inspired-algorithm-fuzzy-multi-objective-path-optimization-22.pdf","source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:doaj.org/article:08cfb321fb774bdf8f2203765387d104","is_oa":true,"landing_page_url":"https://doaj.org/article/08cfb321fb774bdf8f2203765387d104","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 9, Iss 1, Pp 753-765 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-022-00825-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-022-00825-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-022-00825-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","score":0.8100000023841858,"display_name":"Clean water and sanitation"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321565","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4289346132.pdf","grobid_xml":"https://content.openalex.org/works/W4289346132.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W145270132","https://openalex.org/W1527511816","https://openalex.org/W1967370750","https://openalex.org/W1969982063","https://openalex.org/W1970013289","https://openalex.org/W1978943789","https://openalex.org/W1990819810","https://openalex.org/W1994937951","https://openalex.org/W2007572995","https://openalex.org/W2013650127","https://openalex.org/W2017132227","https://openalex.org/W2017694061","https://openalex.org/W2040155335","https://openalex.org/W2040225111","https://openalex.org/W2041594959","https://openalex.org/W2058192020","https://openalex.org/W2062955803","https://openalex.org/W2066776869","https://openalex.org/W2068823774","https://openalex.org/W2072620509","https://openalex.org/W2073914408","https://openalex.org/W2085607178","https://openalex.org/W2086147261","https://openalex.org/W2117473144","https://openalex.org/W2126105956","https://openalex.org/W2143381319","https://openalex.org/W2160019827","https://openalex.org/W2169528473","https://openalex.org/W2330022088","https://openalex.org/W2638290217","https://openalex.org/W2731997137","https://openalex.org/W2766996256","https://openalex.org/W2884165914","https://openalex.org/W2925782432","https://openalex.org/W2938846476","https://openalex.org/W2942307437","https://openalex.org/W2994776572","https://openalex.org/W3008423411","https://openalex.org/W3012109984","https://openalex.org/W3085191555","https://openalex.org/W3111506026","https://openalex.org/W3119684667","https://openalex.org/W3152225197","https://openalex.org/W3165303568","https://openalex.org/W4251225685","https://openalex.org/W4302438448"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W4388451300","https://openalex.org/W4242970302","https://openalex.org/W2571050636","https://openalex.org/W2060361571","https://openalex.org/W154865872","https://openalex.org/W1975005191","https://openalex.org/W3176863924","https://openalex.org/W2989705030","https://openalex.org/W2741782745"],"abstract_inverted_index":{"Abstract":[0],"Increasing":[1],"evaluation":[2],"indexes":[3],"have":[4],"been":[5],"involved":[6],"in":[7,41,147],"the":[8,34,81,87,92,105,111,120,137,142,148,152,155,171,176,179,183],"network":[9],"modeling,":[10],"and":[11,48,78,133,139,162,191],"some":[12],"parameters":[13],"cannot":[14],"be":[15,167],"described":[16],"precisely.":[17],"Fuzzy":[18,52],"set":[19],"theory":[20],"becomes":[21],"a":[22,98,128],"promising":[23],"mathematical":[24],"method":[25],"to":[26,103,123,166],"characterize":[27],"such":[28],"uncertain":[29],"parameters.":[30],"This":[31],"study":[32],"investigates":[33],"fuzzy":[35,49,58,62,67,74,82,189],"multi-objective":[36],"path":[37],"optimization":[38],"problem":[39],"(FMOPOP),":[40],"which":[42],"each":[43],"arc":[44],"has":[45],"multiple":[46],"crisp":[47],"weights":[50,53],"simultaneously.":[51],"are":[54,157],"characterized":[55],"by":[56,86],"triangular":[57],"numbers":[59,190],"or":[60],"trapezoidal":[61],"numbers.":[63],"We":[64],"adopt":[65,187],"two":[66],"number":[68],"ranking":[69,192],"methods":[70,193],"based":[71],"on":[72,91],"their":[73],"graded":[75],"mean":[76],"values":[77],"distances":[79],"from":[80,119],"minimum":[83],"number.":[84],"Motivated":[85],"ripple":[88,163],"spreading":[89,164],"patterns":[90],"natural":[93],"water":[94],"surface,":[95],"we":[96],"propose":[97],"novel":[99],"ripple-spreading":[100],"algorithm":[101,181],"(RSA)":[102],"solve":[104],"FMOPOP.":[106],"Theoretical":[107],"analyses":[108],"prove":[109],"that":[110,185],"RSA":[112,156,177],"can":[113,186],"find":[114],"all":[115,124],"Pareto":[116],"optimal":[117],"paths":[118],"source":[121],"node":[122],"other":[125],"nodes":[126],"within":[127],"single":[129],"run.":[130],"Numerical":[131],"examples":[132],"comparative":[134],"experiments":[135],"demonstrate":[136],"efficiency":[138],"robustness":[140],"of":[141,154,173],"newly":[143],"proposed":[144],"RSA.":[145],"Moreover,":[146],"first":[149,180],"numerical":[150],"example,":[151],"processes":[153],"illustrated":[158],"using":[159],"metaphor-based":[160],"language":[161],"phenomena":[165],"more":[168],"comprehensible.":[169],"To":[170],"best":[172],"our":[174],"knowledge,":[175],"is":[178],"for":[182],"FMOPOP":[184],"various":[188],"while":[194],"maintaining":[195],"optimality.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}