{"id":"https://openalex.org/W2757812134","doi":"https://doi.org/10.1142/s1793005717400075","title":"Directed Fuzzy Networks as a Model to Illicit Flows and Max Flow Min Cut Theorem","display_name":"Directed Fuzzy Networks as a Model to Illicit Flows and Max Flow Min Cut Theorem","publication_year":2017,"publication_date":"2017-09-28","ids":{"openalex":"https://openalex.org/W2757812134","doi":"https://doi.org/10.1142/s1793005717400075","mag":"2757812134"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005717400075","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005717400075","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","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/A5084187981","display_name":"Sunil Mathew","orcid":"https://orcid.org/0000-0001-8478-9245"},"institutions":[{"id":"https://openalex.org/I114845381","display_name":"National Institute of Technology Calicut","ror":"https://ror.org/03yyd7552","country_code":"IN","type":"education","lineage":["https://openalex.org/I114845381"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sunil Mathew","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Calicut, Kerala 673601, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Calicut, Kerala 673601, India","institution_ids":["https://openalex.org/I114845381"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020620391","display_name":"John N. Mordeson","orcid":"https://orcid.org/0000-0001-5808-0793"},"institutions":[{"id":"https://openalex.org/I114493937","display_name":"Creighton University","ror":"https://ror.org/05wf30g94","country_code":"US","type":"education","lineage":["https://openalex.org/I114493937"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John N. Mordeson","raw_affiliation_strings":["Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA","institution_ids":["https://openalex.org/I114493937"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8062,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77598555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"13","issue":"03","first_page":"219","last_page":"229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9993000030517578,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9993000030517578,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.622435986995697},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6133437752723694},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5515053272247314},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.5434345602989197},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.525249183177948},{"id":"https://openalex.org/keywords/quality-of-service","display_name":"Quality of service","score":0.5251462459564209},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5120840072631836},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5090327262878418},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49465057253837585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47942274808883667},{"id":"https://openalex.org/keywords/maximum-flow-problem","display_name":"Maximum flow problem","score":0.47402292490005493},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2700194716453552},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.19539058208465576},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14305248856544495}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.622435986995697},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6133437752723694},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5515053272247314},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.5434345602989197},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.525249183177948},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.5251462459564209},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5120840072631836},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5090327262878418},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49465057253837585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47942274808883667},{"id":"https://openalex.org/C157469704","wikidata":"https://www.wikidata.org/wiki/Q2585642","display_name":"Maximum flow problem","level":2,"score":0.47402292490005493},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2700194716453552},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.19539058208465576},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14305248856544495},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005717400075","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005717400075","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:13:y:2017:i:03:n:s1793005717400075","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005717400075","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W606008011","https://openalex.org/W1496156369","https://openalex.org/W1565315122","https://openalex.org/W1966463325","https://openalex.org/W1988114663","https://openalex.org/W2007083456","https://openalex.org/W2074466324","https://openalex.org/W2085238338","https://openalex.org/W2489172749","https://openalex.org/W2963794072","https://openalex.org/W4211007335","https://openalex.org/W4213060235","https://openalex.org/W4288079856"],"related_works":["https://openalex.org/W2375873432","https://openalex.org/W4206915070","https://openalex.org/W2531764854","https://openalex.org/W3161514703","https://openalex.org/W1554852049","https://openalex.org/W2141299097","https://openalex.org/W1851375266","https://openalex.org/W2610002854","https://openalex.org/W3141113327","https://openalex.org/W3214555511"],"abstract_inverted_index":{"Directed":[0],"fuzzy":[1,30],"networks":[2,13],"are":[3,9,44],"introduced":[4],"in":[5,26,61,67,71],"this":[6,72],"paper.":[7],"They":[8],"normalized":[10],"node":[11],"capacitated":[12],"and":[14,36],"provide":[15],"a":[16,78],"good":[17],"platform":[18],"to":[19,77],"model":[20],"different":[21],"types":[22],"of":[23,33,54,63,81],"complicated":[24],"flows":[25],"nature.":[27],"A":[28],"directed":[29,55],"network":[31],"version":[32],"Menger\u2019s":[34],"theorem":[35,43],"the":[37,48,69],"celebrated":[38],"Max":[39],"flow":[40,50],"Min":[41],"cut":[42],"also":[45],"provided.":[46],"Since":[47],"maximum":[49],"through":[51],"minimum":[52],"number":[53],"internally":[56],"disjoint":[57],"paths":[58],"is":[59],"important":[60],"quality":[62],"service":[64],"(QoS)":[65],"problems":[66],"networking,":[68],"results":[70],"paper":[73],"can":[74],"be":[75],"applied":[76],"wide":[79],"variety":[80],"problems.":[82]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}