{"id":"https://openalex.org/W4283360294","doi":"https://doi.org/10.1142/s1793962323500253","title":"Fuzzy approach to solve interval-valued transportation problem and comparison of the effectiveness of different fuzzy numbers","display_name":"Fuzzy approach to solve interval-valued transportation problem and comparison of the effectiveness of different fuzzy numbers","publication_year":2022,"publication_date":"2022-06-24","ids":{"openalex":"https://openalex.org/W4283360294","doi":"https://doi.org/10.1142/s1793962323500253"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962323500253","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962323500253","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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 Modeling, Simulation, and Scientific Computing","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/A5071000768","display_name":"Monika Bisht","orcid":"https://orcid.org/0000-0003-4688-4342"},"institutions":[{"id":"https://openalex.org/I185052938","display_name":"Hemwati Nandan Bahuguna Garhwal University","ror":"https://ror.org/00mvp1q86","country_code":"IN","type":"education","lineage":["https://openalex.org/I185052938"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Monika Bisht","raw_affiliation_strings":["Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal, Uttarakhand 246001, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal, Uttarakhand 246001, India","institution_ids":["https://openalex.org/I185052938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033837950","display_name":"Rajesh Dangwal","orcid":null},"institutions":[{"id":"https://openalex.org/I185052938","display_name":"Hemwati Nandan Bahuguna Garhwal University","ror":"https://ror.org/00mvp1q86","country_code":"IN","type":"education","lineage":["https://openalex.org/I185052938"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rajesh Dangwal","raw_affiliation_strings":["Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal, Uttarakhand 246001, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal, Uttarakhand 246001, India","institution_ids":["https://openalex.org/I185052938"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071000768"],"corresponding_institution_ids":["https://openalex.org/I185052938"],"apc_list":null,"apc_paid":null,"fwci":0.2431,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.49774563,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"14","issue":"05","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":0.9997000098228455,"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":0.9997000098228455,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9702000021934509,"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":0.9660999774932861,"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/interval","display_name":"Interval (graph theory)","score":0.6862168312072754},{"id":"https://openalex.org/keywords/fuzzy-transportation","display_name":"Fuzzy transportation","score":0.6782153844833374},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6771301031112671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6170717477798462},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6024124622344971},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5950084328651428},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5162798762321472},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.47112131118774414},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.4223648011684418},{"id":"https://openalex.org/keywords/transportation-theory","display_name":"Transportation theory","score":0.42202770709991455},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41630202531814575},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3970547318458557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29990071058273315},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10814279317855835},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0993182361125946},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08070829510688782}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6862168312072754},{"id":"https://openalex.org/C21214244","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy transportation","level":5,"score":0.6782153844833374},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6771301031112671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6170717477798462},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6024124622344971},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5950084328651428},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5162798762321472},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.47112131118774414},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.4223648011684418},{"id":"https://openalex.org/C31829261","wikidata":"https://www.wikidata.org/wiki/Q1929885","display_name":"Transportation theory","level":2,"score":0.42202770709991455},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41630202531814575},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3970547318458557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29990071058273315},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10814279317855835},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0993182361125946},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08070829510688782},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962323500253","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962323500253","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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 Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8749147548","display_name":null,"funder_award_id":"09/386(0065)/2020-EMR-1","funder_id":"https://openalex.org/F4320320721","funder_display_name":"Council of Scientific and Industrial Research, India"}],"funders":[{"id":"https://openalex.org/F4320320721","display_name":"Council of Scientific and Industrial Research, India","ror":"https://ror.org/021wm7p51"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W111796927","https://openalex.org/W124235127","https://openalex.org/W1580809199","https://openalex.org/W1964066860","https://openalex.org/W1975040485","https://openalex.org/W1988599173","https://openalex.org/W2046938749","https://openalex.org/W2094576916","https://openalex.org/W2292791813","https://openalex.org/W2319804711","https://openalex.org/W2765709657","https://openalex.org/W2796513859","https://openalex.org/W2800794323","https://openalex.org/W3005652202","https://openalex.org/W3020808617","https://openalex.org/W4206407187","https://openalex.org/W4211007335","https://openalex.org/W4243387250"],"related_works":["https://openalex.org/W2181800257","https://openalex.org/W3005302456","https://openalex.org/W1865968102","https://openalex.org/W154865872","https://openalex.org/W3176685661","https://openalex.org/W3213777255","https://openalex.org/W1618223651","https://openalex.org/W3134913179","https://openalex.org/W2885140339","https://openalex.org/W2909814366"],"abstract_inverted_index":{"In":[0],"real":[1],"world,":[2],"we":[3,38,77],"come":[4],"across":[5],"transportation":[6,105,195],"problems,":[7],"wherein":[8],"the":[9,26,122,141,156,180,199,202,205],"associated":[10],"data":[11],"involves":[12,35],"some":[13],"sort":[14],"of":[15,28,33,57,85,100,158,162,164,167],"uncertainty,":[16],"which":[17,92,198],"at":[18],"times":[19],"can":[20,93,190],"be":[21,95,191],"most":[22],"appropriately":[23],"represented":[24],"in":[25,97,127,170,197],"form":[27],"interval":[29,58],"numbers.":[30],"Since":[31],"ordering":[32,161],"intervals":[34],"complexity,":[36],"hence,":[37],"have":[39,50,78],"used":[40,96,138],"fuzzy":[41,66,87,168],"concept":[42],"to":[43,60,71,89,139,150,193],"solve":[44],"Interval-Valued":[45],"Transportation":[46,73],"Problems":[47],"(IVTPs).":[48],"We":[49],"proposed":[51,79,123,188,206],"new":[52,80],"fuzzification":[53],"methods":[54],"for":[55,83,121,134,143],"conversion":[56,84],"number":[59],"trapezoidal,":[61],"pentagonal,":[62],"hexagonal":[63],"and":[64,146,204,208],"heptagonal":[65],"numbers,":[67,91],"thereby":[68],"converting":[69],"IVTP":[70,172],"Fuzzy":[72],"Problem":[74],"(FTP).":[75],"Further,":[76],"ranking":[81],"functions":[82],"these":[86,135,159],"numbers":[88,169],"crisp":[90],"also":[94],"other":[98],"fields":[99],"decision":[101],"making.":[102],"The":[103,131,187],"crisp-valued":[104],"problem":[106],"is":[107,125,173,177,210],"then":[108],"solved":[109],"using":[110,152],"Vogel\u2019s":[111],"Approximation":[112],"Method":[113],"followed":[114],"by":[115,184],"Modified":[116],"Distribution":[117],"method.":[118],"Numerical":[119],"illustration":[120],"algorithm":[124],"given":[126],"a":[128],"later":[129],"section.":[130],"solutions":[132,142,182],"obtained":[133,183],"examples":[136],"are":[137],"approximate":[140],"octagonal,":[144],"nonagonal":[145],"decagonal":[147],"FTPs":[148],"corresponding":[149],"IVTP,":[151],"Newton\u2019s":[153],"Polynomial.":[154],"On":[155],"basis":[157],"solutions,":[160],"effectiveness":[163],"various":[165,185],"types":[166],"solving":[171],"done.":[174],"Lastly,":[175],"comparison":[176],"made":[178],"between":[179,201],"optimal":[181],"methods.":[186],"method":[189],"applied":[192],"industrial":[194],"problems":[196],"difference":[200],"actual":[203],"demand":[207],"supply":[209],"quite":[211],"significant.":[212]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
