{"id":"https://openalex.org/W1999996424","doi":"https://doi.org/10.1109/tfuzz.2014.2327995","title":"Fuzzy $(c+p)$-Means Clustering and Its Application to a Fuzzy Rule-Based Classifier: Toward Good Generalization and Good Interpretability","display_name":"Fuzzy $(c+p)$-Means Clustering and Its Application to a Fuzzy Rule-Based Classifier: Toward Good Generalization and Good Interpretability","publication_year":2014,"publication_date":"2014-06-03","ids":{"openalex":"https://openalex.org/W1999996424","doi":"https://doi.org/10.1109/tfuzz.2014.2327995","mag":"1999996424"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2014.2327995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2014.2327995","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","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/A5059782785","display_name":"Jacek M. \u0141\u0119ski","orcid":"https://orcid.org/0000-0002-9380-0415"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Jacek M. Leski","raw_affiliation_strings":["Division of Biomedical Electronics, Institute of Electronics, Silesian University of Technology, Gliwice, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Biomedical Electronics, Institute of Electronics, Silesian University of Technology, Gliwice, Poland","institution_ids":["https://openalex.org/I119004910"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059782785"],"corresponding_institution_ids":["https://openalex.org/I119004910"],"apc_list":null,"apc_paid":null,"fwci":6.3439,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.9642009,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"23","issue":"4","first_page":"802","last_page":"812"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9939000010490417,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9939000010490417,"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/T10057","display_name":"Face and Expression Recognition","score":0.9828000068664551,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9805999994277954,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.69737309217453},{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.6113282442092896},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5508079528808594},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.49309203028678894},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.48808610439300537},{"id":"https://openalex.org/keywords/fuzzy-rule","display_name":"Fuzzy rule","score":0.4683724343776703},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.44127559661865234},{"id":"https://openalex.org/keywords/classifier","display_name":"Classifier (UML)","score":0.4409417510032654},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.32687193155288696},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3148198425769806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2382594645023346},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12939566373825073}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.69737309217453},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.6113282442092896},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5508079528808594},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.49309203028678894},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.48808610439300537},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.4683724343776703},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.44127559661865234},{"id":"https://openalex.org/C95623464","wikidata":"https://www.wikidata.org/wiki/Q1096149","display_name":"Classifier (UML)","level":2,"score":0.4409417510032654},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.32687193155288696},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3148198425769806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2382594645023346},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12939566373825073},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2014.2327995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2014.2327995","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W584018385","https://openalex.org/W1540007258","https://openalex.org/W1560724230","https://openalex.org/W1584161386","https://openalex.org/W1596717185","https://openalex.org/W1623080549","https://openalex.org/W1991039395","https://openalex.org/W2004011665","https://openalex.org/W2010877333","https://openalex.org/W2013019129","https://openalex.org/W2018040777","https://openalex.org/W2024000733","https://openalex.org/W2030331637","https://openalex.org/W2033126350","https://openalex.org/W2034909454","https://openalex.org/W2058201178","https://openalex.org/W2059822086","https://openalex.org/W2070865291","https://openalex.org/W2100714230","https://openalex.org/W2103266366","https://openalex.org/W2112519824","https://openalex.org/W2113076747","https://openalex.org/W2114296668","https://openalex.org/W2117812871","https://openalex.org/W2118211060","https://openalex.org/W2124776405","https://openalex.org/W2136958260","https://openalex.org/W2148603752","https://openalex.org/W2150675305","https://openalex.org/W2150796457","https://openalex.org/W2155319834","https://openalex.org/W2156145910","https://openalex.org/W2171253128","https://openalex.org/W2172000360","https://openalex.org/W2285257517","https://openalex.org/W2317581382","https://openalex.org/W2468714721","https://openalex.org/W2489822048","https://openalex.org/W2799061466","https://openalex.org/W3016210511","https://openalex.org/W3017143921","https://openalex.org/W3144619878","https://openalex.org/W3146003712","https://openalex.org/W4230946174","https://openalex.org/W4248958492","https://openalex.org/W4285719527","https://openalex.org/W4400445037","https://openalex.org/W6683152347","https://openalex.org/W6699838289"],"related_works":["https://openalex.org/W2905433371","https://openalex.org/W4390569940","https://openalex.org/W2888392564","https://openalex.org/W4361193272","https://openalex.org/W4310278675","https://openalex.org/W4388422664","https://openalex.org/W2806259446","https://openalex.org/W2050337454","https://openalex.org/W2595285209","https://openalex.org/W2083536291"],"abstract_inverted_index":{"This":[0,30],"paper":[1],"introduces":[2],"a":[3,10,19,35,48,85,92],"new":[4,20],"classifier":[5,151],"design":[6],"method":[7,31,63],"based":[8,96],"on":[9,97,139],"modification":[11],"of":[12,37,40,54,70,77,84,91,149],"the":[13,38,41,55,60,68,98,100,102,105,117,127,147,150,156],"classical":[14],"fuzzy":[15,21,43],"c-means":[16,22],"clustering.":[17],"First,":[18],"clustering":[23,44,62],"with":[24,45,88,159],"p":[25],"constant":[26],"prototypes":[27,47,56],"is":[28,57,64,113,124,143,166],"proposed.":[29],"can":[32],"be":[33],"considered":[34],"generalization":[36],"concept":[39],"conditional":[42],"some":[46],"priori":[49],"known.":[50],"A":[51],"special":[52],"initialization":[53],"introduced.":[58,152],"Next,":[59],"proposed":[61,118],"used":[65,114],"to":[66,115,145,155,161],"construct":[67],"premises":[69],"an":[71,135],"IF-THEN":[72,122],"rule-based":[73],"classifier.":[74],"The":[75,109],"conclusions":[76],"these":[78],"rules":[79],"are":[80],"obtained":[81],"by":[82],"minimization":[83],"criterion":[86,119],"function":[87],"various":[89],"approximations":[90],"misclassification":[93],"error":[94],"(e.g.,":[95],"quadratic,":[99],"linear,":[101],"sigmoidal":[103],"or":[104],"Huber's":[106],"loss":[107],"function).":[108],"conjugate":[110],"gradient":[111],"algorithm":[112],"minimize":[116],"function.":[120],"Each":[121],"rule":[123],"represented":[125],"in":[126],"Mamdani-Assilan":[128],"form,":[129],"which":[130],"has":[131],"good":[132],"interpretability.":[133],"Finally,":[134],"extensive":[136],"experimental":[137],"analysis":[138],"14":[140],"benchmark":[141],"datasets":[142],"performed":[144],"demonstrate":[146],"validity":[148],"Its":[153],"competitiveness":[154],"state-of-the-art":[157],"classifiers,":[158],"respect":[160],"both":[162],"performance":[163],"and":[164],"interpretability,":[165],"also":[167],"shown.":[168]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3}],"updated_date":"2026-05-15T08:27:34.491423","created_date":"2025-10-10T00:00:00"}