{"id":"https://openalex.org/W4225925393","doi":"https://doi.org/10.1109/icmlc54886.2021.9737258","title":"Fuzzy Interpolative Reasoning Based on Representative Values and Characteristic Points of Rough-Fuzzy Sets","display_name":"Fuzzy Interpolative Reasoning Based on Representative Values and Characteristic Points of Rough-Fuzzy Sets","publication_year":2021,"publication_date":"2021-12-04","ids":{"openalex":"https://openalex.org/W4225925393","doi":"https://doi.org/10.1109/icmlc54886.2021.9737258"},"language":"en","primary_location":{"id":"doi:10.1109/icmlc54886.2021.9737258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc54886.2021.9737258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 International Conference on Machine Learning and Cybernetics (ICMLC)","raw_type":"proceedings-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/A5061831201","display_name":"Shyi\u2010Ming Chen","orcid":"https://orcid.org/0000-0001-8648-631X"},"institutions":[{"id":"https://openalex.org/I154864474","display_name":"National Taiwan University of Science and Technology","ror":"https://ror.org/00q09pe49","country_code":"TW","type":"education","lineage":["https://openalex.org/I154864474"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Shyi-Ming Chen","raw_affiliation_strings":["National Taiwan University of Science and Technology,Department of Computer Science and Information Engineering,Taipei,Taiwan","Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"National Taiwan University of Science and Technology,Department of Computer Science and Information Engineering,Taipei,Taiwan","institution_ids":["https://openalex.org/I154864474"]},{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan","institution_ids":["https://openalex.org/I154864474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004149482","display_name":"Ranggi Putra Wiharja","orcid":null},"institutions":[{"id":"https://openalex.org/I154864474","display_name":"National Taiwan University of Science and Technology","ror":"https://ror.org/00q09pe49","country_code":"TW","type":"education","lineage":["https://openalex.org/I154864474"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ranggi Putra Wiharja","raw_affiliation_strings":["National Taiwan University of Science and Technology,Department of Computer Science and Information Engineering,Taipei,Taiwan","Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"National Taiwan University of Science and Technology,Department of Computer Science and Information Engineering,Taipei,Taiwan","institution_ids":["https://openalex.org/I154864474"]},{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan","institution_ids":["https://openalex.org/I154864474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061831201"],"corresponding_institution_ids":["https://openalex.org/I154864474"],"apc_list":null,"apc_paid":null,"fwci":0.148,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55359503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9991999864578247,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9929999709129333,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9828000068664551,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.49981069564819336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43418246507644653},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3674347400665283}],"concepts":[{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.49981069564819336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43418246507644653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3674347400665283}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmlc54886.2021.9737258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc54886.2021.9737258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 International Conference on Machine Learning and Cybernetics (ICMLC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5591871337","display_name":null,"funder_award_id":"109-2221-E-011-126-MY3","funder_id":"https://openalex.org/F4320321540","funder_display_name":"Ministry of Science and Technology of the People's Republic of China"}],"funders":[{"id":"https://openalex.org/F4320321540","display_name":"Ministry of Science and Technology of the People's Republic of China","ror":"https://ror.org/027s68j25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W758420541","https://openalex.org/W1963692016","https://openalex.org/W1985262089","https://openalex.org/W1986230769","https://openalex.org/W2009566536","https://openalex.org/W2022710062","https://openalex.org/W2027014358","https://openalex.org/W2027173927","https://openalex.org/W2038683228","https://openalex.org/W2055853541","https://openalex.org/W2103127765","https://openalex.org/W2117496317","https://openalex.org/W2149002934","https://openalex.org/W2156715830","https://openalex.org/W2184468396","https://openalex.org/W2279545905","https://openalex.org/W2291196818","https://openalex.org/W3171768015"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,390],"new":[6],"fuzzy":[7,152,165,194,206],"interpolative":[8],"reasoning":[9],"(FIR)":[10],"method":[11,387],"on":[12,52,261],"the":[13,30,34,43,53,73,85,97,106,131,137,144,159,176,190,202,215,224,230,233,242,245,252,262,277,285,293,303,312,322,330,339,347,355,363],"basis":[14],"of":[15,23,64,96,143,151,164,189,214,232,244,251,276,292,321,329,346,354,362],"representative":[16],"values":[17],"(RVs)":[18],"and":[19,42,59,78,84,91,108,119,136,157,183,201,240,270,284,337],"characteristic":[20],"points":[21],"(CPs)":[22],"rough-fuzzy":[24,397],"sets":[25],"(RFSs).":[26],"Firstly,":[27],"it":[28,129,228,310],"calculates":[29,130,158,229,241,311,338],"Euclidean":[31],"distance":[32],"between":[33],"antecedent":[35,65,149],"polygonal":[36,45,66,99,193,205,218,296,366],"RFS":[37,46,67,100,255,297,367],"<tex":[38,47,55,60,68,74,79,87,92,101,112,120,133,140,145,154,161,167,178,184,196,209,219,235,246,256,265,271,279,287,298,304,316,325,332,341,350,357,368,374],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[39,48,56,61,69,75,80,88,93,102,113,121,134,141,146,155,162,168,179,185,197,210,220,236,247,257,266,272,280,288,299,305,317,326,333,342,351,358,369,375],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${\\widetilde":[40,49],"A_{ij}}$</tex>":[41],"observation":[44,98],"A_j^\\ast}$</tex>":[50],"based":[51,260],"RVs":[54,86,177,264],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$Rep{(\\tilde":[57,62,89],"A_j^\\ast)_x}$</tex>":[58,90],"A_j^\\ast)_y}$</tex>":[63,95],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\widetilde":[70,103],"A_j^\\ast$</tex>":[71,104],"in":[72,105,223,302,396],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${X}$</tex>":[76,306],"-axis":[77],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${Y}$</tex>":[81],"-axis,":[82,307],"respectively,":[83,110],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$Rep\\,{(\\tilde":[94],"X-axis":[107],"Y-axis,":[109],"where":[111,373],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${1":[114,122],"\\leq":[115,117,123,125,377,379],"i":[116],"q}$</tex>":[118],"j":[124],"m}$</tex>":[126],".":[127,383],"Then,":[128,227],"weight":[132,139,160],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$w_{ij}^{\\prime}$</tex>":[135],"normalized":[138],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$w_{ij}$</tex>":[142],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${j}$</tex>":[147],"th":[148],"variable":[150],"rule":[153,166],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${R_{i}}$</tex>":[156,169],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${w_{i}}$</tex>":[163],",":[170,372],"which":[171],"are":[172],"used":[173],"to":[174],"calculate":[175],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$Rep{(\\underline":[180,267],"{{{\\widetilde":[181],"B}^\\ast}})_x}$</tex>":[182,188,269,275],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$Rep{(\\overline":[186,273],"{{{\\tilde":[187,199,238,249,268,274,282,290,335,360],"lower":[191],"approximate":[192,204],"set":[195,207],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\underline":[198,237,281,318,327,334],"B}^\\ast}}$</tex>":[200,239,250,283,291,301,336,361,371],"upper":[203],"(UAPFS)":[208],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${\\overline":[211],"{\\tilde":[212],"B}^\\ast}$</tex>":[213,222,259],"interpolated":[216,253,294,364],"consequence":[217,254,295,365],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${{\\tilde":[221,258],"X-axis,":[225],"respectively.":[226,308],"CPs":[231,243],"LAPFS":[234,278,331],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\overline":[248,289,343,352,359],"obtained":[263],"UAPFS":[286,356],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">${{{\\tilde":[300,370],"Finally,":[309],"membership":[313],"degree":[314],"(MD)":[315],"{\\mu":[319,344],"_g^\\ast}$</tex>":[320,345],"gth":[323,348],"CP":[324,349],"{b_g^\\ast}$</tex>":[328,353],"MD":[340],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$0":[376],"g":[378],"n":[380],"-":[381],"1$</tex>":[382],"The":[384],"proposed":[385],"FIR":[386,395],"offers":[388],"us":[389],"very":[391],"useful":[392],"approach":[393],"for":[394],"environments.":[398]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
