{"id":"https://openalex.org/W4411557196","doi":"https://doi.org/10.1155/adfs/3152445","title":"Optimizing the Hexagonal Fuzzy Transportation Problem With the Novel Dhouib\u2010Matrix\u2010TP1 Method","display_name":"Optimizing the Hexagonal Fuzzy Transportation Problem With the Novel Dhouib\u2010Matrix\u2010TP1 Method","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4411557196","doi":"https://doi.org/10.1155/adfs/3152445"},"language":"en","primary_location":{"id":"doi:10.1155/adfs/3152445","is_oa":true,"landing_page_url":"https://doi.org/10.1155/adfs/3152445","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/adfs/3152445","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":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/adfs/3152445","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079424370","display_name":"Souhail Dhouib","orcid":"https://orcid.org/0000-0003-2487-0062"},"institutions":[{"id":"https://openalex.org/I4210088638","display_name":"Higher Institute of Management","ror":"https://ror.org/003sxhp42","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210088638"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Souhail Dhouib","raw_affiliation_strings":["Industrial Management ,  Higher Institute of Industrial Management of Sfax ,  Sfax ,  Tunisia"],"raw_orcid":"https://orcid.org/0000-0003-2487-0062","affiliations":[{"raw_affiliation_string":"Industrial Management ,  Higher Institute of Industrial Management of Sfax ,  Sfax ,  Tunisia","institution_ids":["https://openalex.org/I4210088638"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088938643","display_name":"A. Ben Jazia Kharrat","orcid":null},"institutions":[{"id":"https://openalex.org/I4210088638","display_name":"Higher Institute of Management","ror":"https://ror.org/003sxhp42","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210088638"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Aida Kharrat","raw_affiliation_strings":["New Economy ,  Institute of Higher Commercial Studies ,  Sfax ,  Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New Economy ,  Institute of Higher Commercial Studies ,  Sfax ,  Tunisia","institution_ids":["https://openalex.org/I4210088638"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112885130","display_name":"Ta\u00efcir Loukil","orcid":null},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Taicir Loukil","raw_affiliation_strings":["Quantitative Method ,  Faculty of Economics and Management of Sfax ,  Sfax ,  Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quantitative Method ,  Faculty of Economics and Management of Sfax ,  Sfax ,  Tunisia","institution_ids":["https://openalex.org/I142899784"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045242549","display_name":"Habib Chabchoub","orcid":"https://orcid.org/0000-0002-1101-2360"},"institutions":[{"id":"https://openalex.org/I161913731","display_name":"Al Ain University","ror":"https://ror.org/023abrt21","country_code":"AE","type":"education","lineage":["https://openalex.org/I161913731"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Habib Chabchoub","raw_affiliation_strings":["Business ,  College of Business ,  Al Ain ,  UAE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business ,  College of Business ,  Al Ain ,  UAE","institution_ids":["https://openalex.org/I161913731"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079424370"],"corresponding_institution_ids":["https://openalex.org/I4210088638"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":2.1091,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.87527056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"2025","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9994000196456909,"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":0.9994000196456909,"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/T13601","display_name":"Urban Transport Systems Analysis","score":0.9729999899864197,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T14228","display_name":"Religion and Sociopolitical Dynamics in Nigeria","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/3300","display_name":"General Social Sciences"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6456834077835083},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5348341464996338},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5227677822113037},{"id":"https://openalex.org/keywords/hexagonal-crystal-system","display_name":"Hexagonal crystal system","score":0.472981333732605},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33425450325012207},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.297410786151886},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27953511476516724},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.22695159912109375},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.21196317672729492}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6456834077835083},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5348341464996338},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5227677822113037},{"id":"https://openalex.org/C128765274","wikidata":"https://www.wikidata.org/wiki/Q663314","display_name":"Hexagonal crystal system","level":2,"score":0.472981333732605},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33425450325012207},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.297410786151886},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27953511476516724},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.22695159912109375},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.21196317672729492},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/adfs/3152445","is_oa":true,"landing_page_url":"https://doi.org/10.1155/adfs/3152445","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/adfs/3152445","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:6e1a684ded684e22af921ca02dd6a2f6","is_oa":true,"landing_page_url":"https://doaj.org/article/6e1a684ded684e22af921ca02dd6a2f6","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 2025 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/adfs/3152445","is_oa":true,"landing_page_url":"https://doi.org/10.1155/adfs/3152445","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/adfs/3152445","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/W4411557196.pdf","grobid_xml":"https://content.openalex.org/works/W4411557196.grobid-xml"},"referenced_works_count":69,"referenced_works":["https://openalex.org/W154865872","https://openalex.org/W1165052558","https://openalex.org/W1963717516","https://openalex.org/W1964066860","https://openalex.org/W1975040485","https://openalex.org/W1981240385","https://openalex.org/W1985887300","https://openalex.org/W1988900427","https://openalex.org/W1996206377","https://openalex.org/W2007100333","https://openalex.org/W2010599513","https://openalex.org/W2046938749","https://openalex.org/W2047843060","https://openalex.org/W2062024692","https://openalex.org/W2086590301","https://openalex.org/W2092771991","https://openalex.org/W2099867994","https://openalex.org/W2105940773","https://openalex.org/W2109789573","https://openalex.org/W2125881189","https://openalex.org/W2142984339","https://openalex.org/W2143072948","https://openalex.org/W2296171218","https://openalex.org/W2305295169","https://openalex.org/W2323020999","https://openalex.org/W2328725012","https://openalex.org/W2331799229","https://openalex.org/W2333364130","https://openalex.org/W2333950445","https://openalex.org/W2425342526","https://openalex.org/W2442853442","https://openalex.org/W2465071074","https://openalex.org/W2566607667","https://openalex.org/W2573918087","https://openalex.org/W2586154219","https://openalex.org/W2735773519","https://openalex.org/W2790018542","https://openalex.org/W2799554001","https://openalex.org/W2909153927","https://openalex.org/W2911453537","https://openalex.org/W2967868563","https://openalex.org/W3037590054","https://openalex.org/W3092587919","https://openalex.org/W3129983944","https://openalex.org/W3198614112","https://openalex.org/W3210307938","https://openalex.org/W4206544668","https://openalex.org/W4210682474","https://openalex.org/W4211007335","https://openalex.org/W4214893413","https://openalex.org/W4237782611","https://openalex.org/W4240196513","https://openalex.org/W4240602945","https://openalex.org/W4313213873","https://openalex.org/W4317473380","https://openalex.org/W4381611535","https://openalex.org/W4384563777","https://openalex.org/W4385679859","https://openalex.org/W4389419870","https://openalex.org/W4391291021","https://openalex.org/W4391915724","https://openalex.org/W4392786590","https://openalex.org/W4394098046","https://openalex.org/W4394114464","https://openalex.org/W4396660447","https://openalex.org/W4407719236","https://openalex.org/W4408481924","https://openalex.org/W6678720027","https://openalex.org/W6697739654"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"Transportation":[0,137],"Problem":[1],"(TP)":[2],"is":[3,12,35,106,113],"considered":[4],"a":[5,54,78],"combinatorial":[6],"optimization":[7],"problem,":[8],"and":[9,68,150],"its":[10,141],"aim":[11],"to":[13,22,49,89,99,115,155],"minimize":[14],"the":[15,33,43,51,62,102,110,124,147,152,158],"total":[16],"transportation":[17,65],"cost":[18],"from":[19],"several":[20],"sources":[21],"different":[23,133],"destinations.":[24],"In":[25],"this":[26],"paper,":[27],"an":[28,40,118],"intensive":[29],"literature":[30,134],"review":[31],"of":[32,42,61,130],"TP":[34,52],"presented":[36],"in":[37],"detail":[38],"with":[39,84],"enhancement":[41],"novel":[44],"heuristic":[45],"entitled":[46],"Dhouib\u2010Matrix\u2010TP1":[47],"(DM\u2010TP1)":[48],"solve":[50],"under":[53,160],"hexagonal":[55,72],"fuzzy":[56,73,93],"environment.":[57],"Indeed,":[58],"all":[59],"parameters":[60],"TP\u2014such":[63],"as":[64],"cost,":[66],"demand,":[67],"supply\u2014are":[69],"represented":[70],"using":[71,123],"numbers":[74],"(HFNs),":[75],"which":[76],"offer":[77],"richer":[79],"structure":[80],"for":[81],"modeling":[82],"uncertainty":[83],"less":[85],"information":[86],"loss":[87],"compared":[88],"triangular":[90],"or":[91],"trapezoidal":[92],"numbers.":[94],"To":[95],"convert":[96],"these":[97],"HFNs":[98],"crisp":[100],"ones,":[101],"centroid":[103],"ranking":[104],"function":[105],"used.":[107],"After":[108],"that,":[109],"DM\u2010TP1":[111,131,144],"method":[112],"applied":[114],"rapidly":[116],"find":[117],"initial":[119],"basic":[120],"feasible":[121],"solution":[122,149],"original":[125],"metric":[126],"(Average\u2013Min).":[127],"Experiment":[128],"results":[129],"on":[132],"Hexagonal":[135],"Fuzzy":[136],"Problems":[138],"(HFTPs)":[139],"prove":[140],"performance.":[142],"Moreover,":[143],"illustrates":[145],"graphically":[146],"generated":[148],"allows":[151],"decision":[153],"maker":[154],"ergonomically":[156],"handle":[157],"TPs":[159],"HFNs.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
