{"id":"https://openalex.org/W2098953704","doi":"https://doi.org/10.1109/fuzzy.2008.4630393","title":"An analysis of robustness of partition coefficient index","display_name":"An analysis of robustness of partition coefficient index","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2098953704","doi":"https://doi.org/10.1109/fuzzy.2008.4630393","mag":"2098953704"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2008.4630393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2008.4630393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence)","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/A5110191321","display_name":"Kuo-Lung Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I190409851","display_name":"Kun Shan University","ror":"https://ror.org/01gzkdv90","country_code":"TW","type":"education","lineage":["https://openalex.org/I190409851"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Kuo-Lung Wu","raw_affiliation_strings":["Department of Information Management, Kun Shan University, Tainan, Taiwan","Dept. of Inf. Manage., Kun Shan Univ., Tainan"],"affiliations":[{"raw_affiliation_string":"Department of Information Management, Kun Shan University, Tainan, Taiwan","institution_ids":["https://openalex.org/I190409851"]},{"raw_affiliation_string":"Dept. of Inf. Manage., Kun Shan Univ., Tainan","institution_ids":["https://openalex.org/I190409851"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110191321"],"corresponding_institution_ids":["https://openalex.org/I190409851"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.08762212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"372","last_page":"376"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9987000226974487,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9987000226974487,"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/T11106","display_name":"Data Management and Algorithms","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9879000186920166,"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/partition","display_name":"Partition (number theory)","score":0.6721948981285095},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6226990818977356},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.5957847237586975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5895137190818787},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5608829259872437},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.504707932472229},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.49486368894577026},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.43989139795303345},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.411484032869339},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.38929688930511475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37029480934143066},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.34262049198150635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3402770757675171},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32050490379333496},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21628865599632263},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19785144925117493},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19482845067977905}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6721948981285095},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6226990818977356},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.5957847237586975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5895137190818787},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5608829259872437},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.504707932472229},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.49486368894577026},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.43989139795303345},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.411484032869339},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.38929688930511475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37029480934143066},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.34262049198150635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3402770757675171},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32050490379333496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21628865599632263},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19785144925117493},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19482845067977905},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2008.4630393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2008.4630393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W22606518","https://openalex.org/W190633099","https://openalex.org/W1974364887","https://openalex.org/W1978136334","https://openalex.org/W1983753875","https://openalex.org/W1996747841","https://openalex.org/W1998266257","https://openalex.org/W2000047287","https://openalex.org/W2002155932","https://openalex.org/W2003078486","https://openalex.org/W2005375755","https://openalex.org/W2025767687","https://openalex.org/W2029007446","https://openalex.org/W2029906715","https://openalex.org/W2035028362","https://openalex.org/W2046778278","https://openalex.org/W2048596282","https://openalex.org/W2053677366","https://openalex.org/W2055808834","https://openalex.org/W2064087922","https://openalex.org/W2082827056","https://openalex.org/W2094510831","https://openalex.org/W2137686028","https://openalex.org/W2174436695"],"related_works":["https://openalex.org/W4380682190","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W2945307361","https://openalex.org/W2102386043","https://openalex.org/W2005710836","https://openalex.org/W2003813852","https://openalex.org/W2116636209","https://openalex.org/W4366779185","https://openalex.org/W4226230222"],"abstract_inverted_index":{"We":[0,54],"know":[1],"that":[2,60,93],"the":[3,8,19,46,57,69,72,76,87,96,99],"partition":[4],"coefficient":[5],"index":[6],"has":[7,61],"monotonic":[9],"tendency":[10],"with":[11],"cluster":[12,21,27],"number":[13,22,28],"c.":[14],"Moreover,":[15],"they":[16],"always":[17],"select":[18],"smallest":[20],"c=2":[23],"as":[24],"a":[25],"optimal":[26],"estimate":[29],"when":[30],"data":[31,52],"contains":[32],"some":[33,83],"noise":[34],"points.":[35],"In":[36],"this":[37,42],"paper,":[38],"we":[39,79],"will":[40],"discuss":[41],"problem":[43],"by":[44],"defining":[45],"validity":[47,77,91],"measure":[48],"of":[49,71,98],"each":[50,65],"single":[51],"point.":[53],"then":[55,81],"define":[56],"singular":[58,73],"point":[59,74],"equal":[62],"memberships":[63],"to":[64],"cluster.":[66],"By":[67],"analyzing":[68],"influence":[70,97],"on":[75],"index,":[78],"can":[80,94],"give":[82],"guidelines":[84],"for":[85],"designing":[86],"fuzzy":[88],"c-partitions":[89],"based":[90],"indexes":[92],"avoid":[95],"noise.":[100]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
