{"id":"https://openalex.org/W6940428059","doi":"https://doi.org/10.71602/tfss.2025.1186803","title":"A Hybrid Method for Numerical Solution of Fuzzy Mixed Delay Volterra-Fredholm Integral Equations System","display_name":"A Hybrid Method for Numerical Solution of Fuzzy Mixed Delay Volterra-Fredholm Integral Equations System","publication_year":2025,"publication_date":"2025-01-24","ids":{"openalex":"https://openalex.org/W6940428059","doi":"https://doi.org/10.71602/tfss.2025.1186803"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:005cb0e06a02418bb2ec78f94d19aa2f","is_oa":true,"landing_page_url":"https://doaj.org/article/005cb0e06a02418bb2ec78f94d19aa2f","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":"Transactions on Fuzzy Sets and Systems, Vol 4, Iss 1, Pp 195-212 (2025)","raw_type":"article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/005cb0e06a02418bb2ec78f94d19aa2f","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Ghazanfari, Bahman","orcid":null},"institutions":[{"id":"https://openalex.org/I3123046734","display_name":"Lorestan University","ror":"https://ror.org/051bats05","country_code":"IR","type":"education","lineage":["https://openalex.org/I3123046734"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Ghazanfari, Bahman","raw_affiliation_strings":["Lorestan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lorestan University","institution_ids":["https://openalex.org/I3123046734"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3123046734"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.41249285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10451","display_name":"Mycorrhizal Fungi and Plant Interactions","score":0.5824999809265137,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10451","display_name":"Mycorrhizal Fungi and Plant Interactions","score":0.5824999809265137,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10015","display_name":"Genomics and Phylogenetic Studies","score":0.11779999732971191,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10825","display_name":"Plant Pathogens and Fungal Diseases","score":0.0430000014603138,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5491999983787537},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4219000041484833},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.41999998688697815},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3700000047683716},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.351500004529953},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.32440000772476196}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8144999742507935},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5491999983787537},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.513700008392334},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4219000041484833},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.41999998688697815},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3700000047683716},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.351500004529953},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34119999408721924},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.32440000772476196},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.2773999869823456},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2711000144481659},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2711000144481659},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.257099986076355}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:doaj.org/article:005cb0e06a02418bb2ec78f94d19aa2f","is_oa":true,"landing_page_url":"https://doaj.org/article/005cb0e06a02418bb2ec78f94d19aa2f","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":"Transactions on Fuzzy Sets and Systems, Vol 4, Iss 1, Pp 195-212 (2025)","raw_type":"article"},{"id":"doi:10.71602/tfss.2025.1186803","is_oa":true,"landing_page_url":"https://doi.org/10.71602/tfss.2025.1186803","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:005cb0e06a02418bb2ec78f94d19aa2f","is_oa":true,"landing_page_url":"https://doaj.org/article/005cb0e06a02418bb2ec78f94d19aa2f","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":"Transactions on Fuzzy Sets and Systems, Vol 4, Iss 1, Pp 195-212 (2025)","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"A":[0],"hybrid":[1,23],"method":[2],"for":[3,34],"the":[4,8,22,35,41,59,67,82,94,97],"numerical":[5,72,88],"solution":[6,33,73],"of":[7,10,24,51,96],"system":[9,37],"delayed":[11],"linear":[12],"fuzzy":[13],"mixed":[14],"VolterraFredholm":[15],"integral":[16],"equations":[17,36,69],"(FMDVFIES)":[18],"is":[19,38,74,84],"introduced.":[20],"Using":[21],"Bernstein":[25],"polynomials":[26],"and":[27,43,49,86],"blockpulse":[28],"functions":[29],"(HBBFs),":[30],"an":[31],"approximate":[32],"provided.":[39],"Firstly,":[40],"HBBFs":[42],"their":[44,52],"operational":[45,60],"matrices":[46,61],"are":[47,54,90],"introduced,":[48],"some":[50,87],"characteristics":[53],"described.":[55],"Then":[56,81],"by":[57,76],"applying":[58],"on":[62],"FMDVFIES":[63],"convert":[64],"it":[65],"to":[66,92],"algebraic":[68,79],"system.":[70,80],"The":[71],"obtained":[75],"solving":[77],"this":[78],"convergence":[83],"investigated":[85],"examples":[89],"presented":[91],"show":[93],"effectiveness":[95],"method.":[98]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
