{"id":"https://openalex.org/W4408798299","doi":"https://doi.org/10.3390/axioms14040240","title":"A New Double Fuzzy Integral Transform for Solving an Advection\u2013Diffusion Equation","display_name":"A New Double Fuzzy Integral Transform for Solving an Advection\u2013Diffusion Equation","publication_year":2025,"publication_date":"2025-03-21","ids":{"openalex":"https://openalex.org/W4408798299","doi":"https://doi.org/10.3390/axioms14040240"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14040240","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040240","pdf_url":"https://www.mdpi.com/2075-1680/14/4/240/pdf?version=1742807782","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/4/240/pdf?version=1742807782","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051068522","display_name":"Atanaska Georgieva","orcid":"https://orcid.org/0000-0001-7377-9121"},"institutions":[{"id":"https://openalex.org/I192878625","display_name":"Plovdiv University","ror":"https://ror.org/0545p3742","country_code":"BG","type":"education","lineage":["https://openalex.org/I192878625"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Atanaska Georgieva","raw_affiliation_strings":["Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria","institution_ids":["https://openalex.org/I192878625"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083553495","display_name":"Slav I. Cholakov","orcid":"https://orcid.org/0000-0001-6315-6238"},"institutions":[{"id":"https://openalex.org/I192878625","display_name":"Plovdiv University","ror":"https://ror.org/0545p3742","country_code":"BG","type":"education","lineage":["https://openalex.org/I192878625"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Slav I. Cholakov","raw_affiliation_strings":["Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria","institution_ids":["https://openalex.org/I192878625"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056759787","display_name":"Mira Spasova","orcid":null},"institutions":[{"id":"https://openalex.org/I192878625","display_name":"Plovdiv University","ror":"https://ror.org/0545p3742","country_code":"BG","type":"education","lineage":["https://openalex.org/I192878625"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Mira Spasova","raw_affiliation_strings":["Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria","institution_ids":["https://openalex.org/I192878625"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051068522"],"corresponding_institution_ids":["https://openalex.org/I192878625"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.4711,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.86012473,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"14","issue":"4","first_page":"240","last_page":"240"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9815000295639038,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9812999963760376,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.6636265516281128},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5501320362091064},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.49802327156066895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45460033416748047},{"id":"https://openalex.org/keywords/integral-transform","display_name":"Integral transform","score":0.4536163806915283},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4414169192314148},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3780650496482849},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3427960276603699},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2551002502441406},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12081584334373474},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06691440939903259}],"concepts":[{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.6636265516281128},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5501320362091064},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.49802327156066895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45460033416748047},{"id":"https://openalex.org/C200052193","wikidata":"https://www.wikidata.org/wiki/Q877802","display_name":"Integral transform","level":2,"score":0.4536163806915283},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4414169192314148},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3780650496482849},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3427960276603699},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2551002502441406},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12081584334373474},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06691440939903259}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14040240","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040240","pdf_url":"https://www.mdpi.com/2075-1680/14/4/240/pdf?version=1742807782","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8ff7a7906a7b47479c37d611d2afad5f","is_oa":true,"landing_page_url":"https://doaj.org/article/8ff7a7906a7b47479c37d611d2afad5f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 4, p 240 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14040240","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040240","pdf_url":"https://www.mdpi.com/2075-1680/14/4/240/pdf?version=1742807782","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408798299.pdf"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1995123739","https://openalex.org/W2014034239","https://openalex.org/W2035305968","https://openalex.org/W2038354216","https://openalex.org/W2049246978","https://openalex.org/W2105010558","https://openalex.org/W2114632523","https://openalex.org/W2129124448","https://openalex.org/W2218043766","https://openalex.org/W2336115039","https://openalex.org/W2461102131","https://openalex.org/W2521146637","https://openalex.org/W2762657568","https://openalex.org/W2991446168","https://openalex.org/W3000253802","https://openalex.org/W3022374784","https://openalex.org/W3081972234","https://openalex.org/W3135352755","https://openalex.org/W3183545997","https://openalex.org/W3214785375","https://openalex.org/W4205123524","https://openalex.org/W4205171589","https://openalex.org/W4214567812","https://openalex.org/W4233391551","https://openalex.org/W4322489023","https://openalex.org/W4362558866","https://openalex.org/W4394711308","https://openalex.org/W6879590765"],"related_works":["https://openalex.org/W3036101264","https://openalex.org/W2163151373","https://openalex.org/W1986676657","https://openalex.org/W4238257821","https://openalex.org/W2165001118","https://openalex.org/W2022713607","https://openalex.org/W2794551621","https://openalex.org/W4246396821","https://openalex.org/W1523233633","https://openalex.org/W2011860419"],"abstract_inverted_index":{"This":[0,21],"article":[1],"presents":[2],"a":[3,27,89,92],"new":[4,43],"approach":[5],"to":[6,53,67,91],"solving":[7,83],"fuzzy":[8,13,18,24,31,62,74],"advection\u2013diffusion":[9,63],"equations":[10],"using":[11],"double":[12,17,23,73],"transforms,":[14],"called":[15],"the":[16,38,60,69,72,79],"Yang\u2013General":[19,75],"transform.":[20,76],"unique":[22],"transformation":[25],"is":[26,65],"combination":[28],"of":[29,37,41,71],"single":[30],"Yang":[32],"and":[33,47,49],"General":[34],"transforms.":[35],"Some":[36],"basic":[39],"properties":[40],"this":[42],"transform":[44],"include":[45],"existence":[46],"linearity":[48],"how":[50],"they":[51],"relate":[52],"partial":[54],"derivatives.":[55],"A":[56],"solution":[57,90],"framework":[58],"for":[59,82],"linear":[61],"equation":[64],"developed":[66],"show":[68],"application":[70],"To":[77],"illustrate":[78],"proposed":[80],"method":[81],"these":[84],"equations,":[85],"we":[86],"have":[87],"included":[88],"numerical":[93],"problem.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}