{"id":"https://openalex.org/W3097239347","doi":"https://doi.org/10.1063/5.0025266","title":"A modified method to solve fuzzy transportation problem involving trapezoidal fuzzy numbers","display_name":"A modified method to solve fuzzy transportation problem involving trapezoidal fuzzy numbers","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3097239347","doi":"https://doi.org/10.1063/5.0025266","mag":"3097239347"},"language":"en","primary_location":{"id":"doi:10.1063/5.0025266","doi":"https://doi.org/10.1063/5.0025266","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0025266","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5032031767","display_name":"Gisha George","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I145286018","display_name":"SRM Institute of Science and Technology","ror":"https://ror.org/050113w36","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Gisha George","raw_affiliation_strings":["Department of Mathematics SRM Institute of Science and Technology Kattankulathur - 603 203, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics SRM Institute of Science and Technology Kattankulathur - 603 203, India","institution_ids":["https://openalex.org/I145286018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100776297","display_name":"P. Maheswari","orcid":"https://orcid.org/0000-0003-0899-6562","observed_orcids":["https://orcid.org/0000-0003-0899-6562"]},"institutions":[{"id":"https://openalex.org/I145286018","display_name":"SRM Institute of Science and Technology","ror":"https://ror.org/050113w36","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"P. Uma Maheswari","raw_affiliation_strings":["Department of Mathematics SRM Institute of Science and Technology Kattankulathur - 603 203, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics SRM Institute of Science and Technology Kattankulathur - 603 203, India","institution_ids":["https://openalex.org/I145286018"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113685832","display_name":"K. Ganesan","orcid":"https://orcid.org/0000-0002-7155-3062","observed_orcids":["https://orcid.org/0000-0002-7155-3062"]},"institutions":[{"id":"https://openalex.org/I145286018","display_name":"SRM Institute of Science and Technology","ror":"https://ror.org/050113w36","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. Ganesan","raw_affiliation_strings":["Department of Mathematics SRM Institute of Science and Technology Kattankulathur - 603 203, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics SRM Institute of Science and Technology Kattankulathur - 603 203, India","institution_ids":["https://openalex.org/I145286018"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100776297"],"corresponding_institution_ids":["https://openalex.org/I145286018"],"apc_list":null,"apc_paid":null,"fwci":1.8195,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84674533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":null,"issue":null,"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":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9990000128746033,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.00039999998989515007,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-transportation-problem","display_name":"fuzzy transportation problem","score":1.0},{"id":"https://openalex.org/keywords/trapezoidal-fuzzy-numbers","display_name":"trapezoidal fuzzy numbers","score":1.0},{"id":"https://openalex.org/keywords/initial-basic-feasible-solution","display_name":"initial basic feasible solution","score":0.8740000128746033},{"id":"https://openalex.org/keywords/optimal-solution","display_name":"optimal solution","score":0.6169999837875366}],"concepts":[{"id":"https://openalex.org/C21214244","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy transportation","level":5,"score":0.7516460418701172},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7040283679962158},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6709702610969543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6568857431411743},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.632154643535614},{"id":"https://openalex.org/C169485995","wikidata":"https://www.wikidata.org/wiki/Q42283","display_name":"File Transfer Protocol","level":3,"score":0.5524166226387024},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4926796555519104},{"id":"https://openalex.org/C31829261","wikidata":"https://www.wikidata.org/wiki/Q1929885","display_name":"Transportation theory","level":2,"score":0.4208768904209137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4053790867328644},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3459703326225281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2696723937988281},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15014812350273132},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C110875604","wikidata":"https://www.wikidata.org/wiki/Q75","display_name":"The Internet","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/5.0025266","doi":"https://doi.org/10.1063/5.0025266","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0025266","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2010599513","https://openalex.org/W2109789573","https://openalex.org/W2799554001","https://openalex.org/W2965323214","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W4396689595","https://openalex.org/W3155454652","https://openalex.org/W3186870982","https://openalex.org/W3155084254","https://openalex.org/W2333950445","https://openalex.org/W2361512442","https://openalex.org/W2041241614","https://openalex.org/W6902156184","https://openalex.org/W1618223651","https://openalex.org/W7095393341"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"discuss":[4],"a":[5],"fuzzy":[6,11,22,40,48],"transportation":[7,41],"problem(FTP)":[8],"involving":[9],"trapezoidal":[10],"numbers.":[12],"We":[13],"planned":[14],"another":[15],"algorithm":[16,71],"to":[17,30,67],"find":[18],"an":[19,83],"initial":[20],"basic":[21],"feasible":[23],"solution":[24,36,74],"which":[25],"will":[26],"be":[27],"very":[28],"nearer":[29],"the":[31,38,47,69,73,78],"optimal":[32,35],"solution.":[33],"The":[34],"of":[37,50],"given":[39],"problems":[42,64],"is":[43,75],"verified":[44],"by":[45,81],"using":[46,82],"version":[49],"Modified":[51],"Distribution":[52],"method":[53],"without":[54],"transforming":[55],"into":[56],"its":[57],"correspondent":[58],"classical":[59],"form.":[60],"A":[61],"few":[62],"numerical":[63],"are":[65],"solved":[66],"illustrate":[68],"proposed":[70],"and":[72],"compared":[76],"with":[77],"solutions":[79],"obtained":[80],"existing":[84],"algorithms.":[85]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-09-21T07:43:02.447757","created_date":"2020-11-09T00:00:00"}