{"id":"https://openalex.org/W2619712796","doi":"https://doi.org/10.1142/s1793830917500409","title":"Analysis of interval programming in different environments and its application to fixed-charge transportation problem","display_name":"Analysis of interval programming in different environments and its application to fixed-charge transportation problem","publication_year":2017,"publication_date":"2017-05-23","ids":{"openalex":"https://openalex.org/W2619712796","doi":"https://doi.org/10.1142/s1793830917500409","mag":"2619712796"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830917500409","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500409","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","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/A5062847539","display_name":"Sudipta Midya","orcid":"https://orcid.org/0000-0001-5736-4997"},"institutions":[{"id":"https://openalex.org/I41549804","display_name":"Vidyasagar University","ror":"https://ror.org/027jsza11","country_code":"IN","type":"education","lineage":["https://openalex.org/I41549804"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sudipta Midya","raw_affiliation_strings":["Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University, Midnapore 721102, West Bengal, India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University, Midnapore 721102, West Bengal, India","institution_ids":["https://openalex.org/I41549804"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077439097","display_name":"Sankar Kumar Roy","orcid":"https://orcid.org/0000-0003-4478-1534"},"institutions":[{"id":"https://openalex.org/I41549804","display_name":"Vidyasagar University","ror":"https://ror.org/027jsza11","country_code":"IN","type":"education","lineage":["https://openalex.org/I41549804"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sankar Kumar Roy","raw_affiliation_strings":["Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University, Midnapore 721102, West Bengal, India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University, Midnapore 721102, West Bengal, India","institution_ids":["https://openalex.org/I41549804"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062847539"],"corresponding_institution_ids":["https://openalex.org/I41549804"],"apc_list":null,"apc_paid":null,"fwci":2.4139,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.89258696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"09","issue":"03","first_page":"1750040","last_page":"1750040"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9976999759674072,"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":0.9976999759674072,"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/T10969","display_name":"Water resources management and optimization","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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":0.9832000136375427,"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":0.8746213912963867},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.6545352935791016},{"id":"https://openalex.org/keywords/interval-data","display_name":"Interval data","score":0.6248543858528137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5022904872894287},{"id":"https://openalex.org/keywords/fixed-charge","display_name":"Fixed charge","score":0.4947652220726013},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.45918673276901245},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45525065064430237},{"id":"https://openalex.org/keywords/certainty","display_name":"Certainty","score":0.44527652859687805},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4346391558647156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34901687502861023},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.18469399213790894},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.15155655145645142},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07527679204940796},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.04843631386756897}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.8746213912963867},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.6545352935791016},{"id":"https://openalex.org/C2983220686","wikidata":"https://www.wikidata.org/wiki/Q951437","display_name":"Interval data","level":3,"score":0.6248543858528137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5022904872894287},{"id":"https://openalex.org/C2984553159","wikidata":"https://www.wikidata.org/wiki/Q13579421","display_name":"Fixed charge","level":2,"score":0.4947652220726013},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.45918673276901245},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45525065064430237},{"id":"https://openalex.org/C7493553","wikidata":"https://www.wikidata.org/wiki/Q1520777","display_name":"Certainty","level":2,"score":0.44527652859687805},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4346391558647156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34901687502861023},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.18469399213790894},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.15155655145645142},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07527679204940796},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.04843631386756897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C41999313","wikidata":"https://www.wikidata.org/wiki/Q489328","display_name":"Molecular physics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"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/s1793830917500409","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500409","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1596609792","https://openalex.org/W1882911873","https://openalex.org/W1982945930","https://openalex.org/W2009054772","https://openalex.org/W2021595410","https://openalex.org/W2062556916","https://openalex.org/W2066606028","https://openalex.org/W2079195297","https://openalex.org/W2099867994","https://openalex.org/W2153346558","https://openalex.org/W2162687007","https://openalex.org/W2167054300","https://openalex.org/W2296171218","https://openalex.org/W2315728924","https://openalex.org/W2328725012","https://openalex.org/W2482487225","https://openalex.org/W2533921610","https://openalex.org/W2564185836","https://openalex.org/W2592134595","https://openalex.org/W3143971390"],"related_works":["https://openalex.org/W2418227039","https://openalex.org/W2232227265","https://openalex.org/W2835833174","https://openalex.org/W3143130394","https://openalex.org/W2481833116","https://openalex.org/W3125133703","https://openalex.org/W1970296876","https://openalex.org/W2257386691","https://openalex.org/W2148317922","https://openalex.org/W2619712796"],"abstract_inverted_index":{"In":[0,27,70],"this":[1],"paper,":[2],"we":[3,32,57],"analyze":[4],"the":[5,19,28,35,38,46,49,60,63,88,91,97,103],"interval":[6,9,12,80,92],"programming":[7,15],"using":[8,53,90],"and":[10,81,105,114],"rough":[11],"(RI).":[13],"Interval":[14],"is":[16,51,99],"one":[17],"of":[18,48,62,79,87,96,107,117],"tools":[20],"to":[21,101],"tackle":[22],"uncertainty":[23],"in":[24,77],"mathematical":[25],"programming.":[26,93],"real":[29],"world":[30],"situations,":[31],"often":[33],"encounter":[34],"cases":[36],"where":[37],"data":[39,50],"cannot":[40],"be":[41],"determined":[42],"with":[43],"certainty.":[44],"So,":[45],"value":[47],"assessed":[52],"an":[54],"interval.":[55],"Here,":[56],"consider":[58],"that":[59],"parameters":[61],"Fixed-Charge":[64],"Transportation":[65],"Problem":[66],"(FCTP)":[67],"are":[68,75,120],"imprecise.":[69],"our":[71,108,118],"proposed":[72,109],"problem,":[73],"uncertainties":[74],"considered":[76],"terms":[78],"RI.":[82],"We":[83],"present":[84],"a":[85],"study":[86],"FCTP":[89,98],"An":[94],"example":[95],"included":[100],"show":[102],"effectiveness":[104],"usefulness":[106],"study.":[110],"Finally,":[111],"concluding":[112],"remarks":[113],"future":[115],"scopes":[116],"paper":[119],"discussed.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
