{"id":"https://openalex.org/W4410030211","doi":"https://doi.org/10.1016/j.ijar.2025.109458","title":"General fuzzy difference operator and its application in edge detector","display_name":"General fuzzy difference operator and its application in edge detector","publication_year":2025,"publication_date":"2025-05-02","ids":{"openalex":"https://openalex.org/W4410030211","doi":"https://doi.org/10.1016/j.ijar.2025.109458"},"language":"en","primary_location":{"id":"doi:10.1016/j.ijar.2025.109458","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijar.2025.109458","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ijar.2025.109458","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106471562","display_name":"Zhi Yu Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]},{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi Yu Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University of Technology, Wuhan 430070, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University of Technology, Wuhan 430070, PR China","institution_ids":["https://openalex.org/I196699116","https://openalex.org/I43922553"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090456481","display_name":"Bo Wen Fang","orcid":"https://orcid.org/0000-0002-0810-5275"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]},{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bo Wen Fang","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University of Technology, Wuhan 430070, PR China"],"raw_orcid":"https://orcid.org/0000-0002-0810-5275","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University of Technology, Wuhan 430070, PR China","institution_ids":["https://openalex.org/I196699116","https://openalex.org/I43922553"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090456481"],"corresponding_institution_ids":["https://openalex.org/I196699116","https://openalex.org/I43922553"],"apc_list":{"value":2960,"currency":"USD","value_usd":2960},"apc_paid":{"value":2960,"currency":"USD","value_usd":2960},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08939092,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"184","issue":null,"first_page":"109458","last_page":"109458"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9896000027656555,"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":0.9896000027656555,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9523000121116638,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6636449098587036},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6192030310630798},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.6171273589134216},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.54704749584198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44132497906684875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40207338333129883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37885940074920654},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.35062938928604126},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33287858963012695},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09460118412971497},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.062103331089019775}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6636449098587036},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6192030310630798},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.6171273589134216},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.54704749584198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44132497906684875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40207338333129883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37885940074920654},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.35062938928604126},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33287858963012695},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09460118412971497},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.062103331089019775},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ijar.2025.109458","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijar.2025.109458","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.ijar.2025.109458","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijar.2025.109458","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1059425080","display_name":null,"funder_award_id":"12001412","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3978146462","display_name":null,"funder_award_id":"202406950039","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W73297606","https://openalex.org/W90346477","https://openalex.org/W189069394","https://openalex.org/W590777244","https://openalex.org/W1515974902","https://openalex.org/W1521729143","https://openalex.org/W1549170439","https://openalex.org/W1935225661","https://openalex.org/W1968400541","https://openalex.org/W1982708051","https://openalex.org/W1996070955","https://openalex.org/W2003311110","https://openalex.org/W2007398691","https://openalex.org/W2023578721","https://openalex.org/W2043630998","https://openalex.org/W2060223645","https://openalex.org/W2060878354","https://openalex.org/W2062432103","https://openalex.org/W2066947476","https://openalex.org/W2068360957","https://openalex.org/W2074537354","https://openalex.org/W2119823327","https://openalex.org/W2125070528","https://openalex.org/W2150677845","https://openalex.org/W2158698691","https://openalex.org/W2164741953","https://openalex.org/W2169272511","https://openalex.org/W2199450188","https://openalex.org/W2905621769","https://openalex.org/W2935828418","https://openalex.org/W2981781166","https://openalex.org/W3092694819","https://openalex.org/W3172016989","https://openalex.org/W4211007335","https://openalex.org/W4400859409","https://openalex.org/W6632904131","https://openalex.org/W6640448891","https://openalex.org/W6642267319","https://openalex.org/W6676907005","https://openalex.org/W6685951380","https://openalex.org/W6772607330"],"related_works":["https://openalex.org/W2366906938","https://openalex.org/W2349391998","https://openalex.org/W4205655149","https://openalex.org/W2000775715","https://openalex.org/W2074467390","https://openalex.org/W2795393339","https://openalex.org/W2626393719","https://openalex.org/W4390618967","https://openalex.org/W2107371674","https://openalex.org/W2111575869"],"abstract_inverted_index":{"This":[0],"paper":[1],"gives":[2],"a":[3,16],"more":[4,139],"general":[5,27,39,72,140],"definition":[6,141],"of":[7,19,26,38,79,142,164],"fuzzy":[8,28,40,46,73,90,101,117,122,143,152,156,165],"difference":[9,29,41,74,91,102,118,144,157,166],"operator":[10,20,30,42,92,145],"by":[11],"relaxing":[12,85],"existing":[13],"constraints,":[14],"enabling":[15],"broader":[17],"range":[18],"constructions.":[21],"The":[22,76,111],"characteristics":[23],"and":[24,54,71,100],"attributes":[25],"are":[31,43,159,168],"thoroughly":[32],"examined.":[33],"Then,":[34],"these":[35],"novel":[36,116],"constructions":[37],"applied":[44,120],"as":[45,121],"morphological":[47,123],"gradient":[48,124],"operators":[49,119,125,158,167],"in":[50,107,129,151,170],"edge":[51,59,108,127,171],"detection.":[52,172],"Experiments":[53],"analyses":[55],"compare":[56],"the":[57,86,88],"proposed":[58],"detection":[60,128],"algorithm's":[61],"performance":[62],"with":[63],"alternative":[64],"methods,":[65],"evaluating":[66],"various":[67,97],"configurations":[68],"(t-norms,":[69],"implications,":[70,99],"operators).":[75],"main":[77],"findings":[78],"this":[80],"study":[81],"are:":[82],"(1)":[83],"By":[84],"condition,":[87],"generalized":[89],"can":[93],"be":[94],"constructed":[95],"using":[96],"t-norms,":[98],"operators,":[103],"offering":[104],"greater":[105],"flexibility":[106],"detector.":[109],"(2)":[110],"experimental":[112],"results":[113],"show":[114],"that":[115],"for":[126],"image":[130],"processing":[131],"perform":[132],"better":[133],"than":[134],"those":[135],"existing.":[136],"\u2022":[137,148,161],"A":[138],"is":[146],"obtained.":[147],"Some":[149],"tautologies":[150],"setting":[153],"corresponding":[154],"to":[155],"discussed.":[160],"Novel":[162],"construction":[163],"utilized":[169]},"counts_by_year":[],"updated_date":"2026-03-04T07:04:00.330322","created_date":"2025-10-10T00:00:00"}
