{"id":"https://openalex.org/W2135490056","doi":"https://doi.org/10.1109/fuzzy.2006.1681808","title":"Clustering using Similarity Upper Approximation","display_name":"Clustering using Similarity Upper Approximation","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2135490056","doi":"https://doi.org/10.1109/fuzzy.2006.1681808","mag":"2135490056"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2006.1681808","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2006.1681808","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Fuzzy Systems","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/A5102001468","display_name":"Pradeep Kumar","orcid":"https://orcid.org/0000-0003-0075-0197"},"institutions":[{"id":"https://openalex.org/I36893310","display_name":"University of Hyderabad","ror":"https://ror.org/04a7rxb17","country_code":"IN","type":"education","lineage":["https://openalex.org/I36893310"]},{"id":"https://openalex.org/I150312865","display_name":"Institute for Development and Research in Banking Technology","ror":"https://ror.org/00ta0g865","country_code":"IN","type":"government","lineage":["https://openalex.org/I150312865"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"P. Kumar","raw_affiliation_strings":["Business Intelligence Laboratory, Institute for Development and Research in Banking Technology, Hyderabad, India","University of Hyderabad, India"],"affiliations":[{"raw_affiliation_string":"Business Intelligence Laboratory, Institute for Development and Research in Banking Technology, Hyderabad, India","institution_ids":["https://openalex.org/I150312865"]},{"raw_affiliation_string":"University of Hyderabad, India","institution_ids":["https://openalex.org/I36893310"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025536862","display_name":"P. Radha Krishna","orcid":null},"institutions":[{"id":"https://openalex.org/I150312865","display_name":"Institute for Development and Research in Banking Technology","ror":"https://ror.org/00ta0g865","country_code":"IN","type":"government","lineage":["https://openalex.org/I150312865"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P.R. Krishna","raw_affiliation_strings":["Institute for Development and Research in Banking Technology, Hyderabad, India"],"affiliations":[{"raw_affiliation_string":"Institute for Development and Research in Banking Technology, Hyderabad, India","institution_ids":["https://openalex.org/I150312865"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049423985","display_name":"Raju S. Bapi","orcid":"https://orcid.org/0000-0003-2204-0890"},"institutions":[{"id":"https://openalex.org/I36893310","display_name":"University of Hyderabad","ror":"https://ror.org/04a7rxb17","country_code":"IN","type":"education","lineage":["https://openalex.org/I36893310"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R.S. Bapi","raw_affiliation_strings":["Computational Intelligence Lab, Department of Computer and Information Sciences, University of Hyderabad, Hyderabad, India"],"affiliations":[{"raw_affiliation_string":"Computational Intelligence Lab, Department of Computer and Information Sciences, University of Hyderabad, Hyderabad, India","institution_ids":["https://openalex.org/I36893310"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101539881","display_name":"Supriya Kumar De","orcid":"https://orcid.org/0000-0002-2530-4604"},"institutions":[{"id":"https://openalex.org/I301324184","display_name":"Xavier School of Management","ror":"https://ror.org/046vhnd58","country_code":"IN","type":"education","lineage":["https://openalex.org/I301324184"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Supriya Kumar De","raw_affiliation_strings":["XLRI, Jamshedpur, Jamshedpur, India"],"affiliations":[{"raw_affiliation_string":"XLRI, Jamshedpur, Jamshedpur, India","institution_ids":["https://openalex.org/I301324184"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102001468"],"corresponding_institution_ids":["https://openalex.org/I150312865","https://openalex.org/I36893310"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.17128124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"839","last_page":"844"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":1.0,"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":1.0,"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.968999981880188,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.7888798713684082},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.779244065284729},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.7385149002075195},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.6419777870178223},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6308059692382812},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6232575178146362},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5812434554100037},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5788262486457825},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4736415445804596},{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.4360722601413727},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41519176959991455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37819600105285645},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.35996201634407043},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.347917377948761},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32704633474349976},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2967601418495178},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15856587886810303}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.7888798713684082},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.779244065284729},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.7385149002075195},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.6419777870178223},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6308059692382812},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6232575178146362},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5812434554100037},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5788262486457825},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4736415445804596},{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.4360722601413727},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41519176959991455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37819600105285645},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.35996201634407043},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.347917377948761},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32704633474349976},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2967601418495178},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15856587886810303},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2006.1681808","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2006.1681808","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W28355918","https://openalex.org/W1513494614","https://openalex.org/W1551089883","https://openalex.org/W1557923305","https://openalex.org/W1582014272","https://openalex.org/W1683488444","https://openalex.org/W2000594950","https://openalex.org/W2019529630","https://openalex.org/W2050720134","https://openalex.org/W2059975159","https://openalex.org/W2127097372","https://openalex.org/W2141101215","https://openalex.org/W2318064754","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W2362009423","https://openalex.org/W2383282217","https://openalex.org/W4247436880","https://openalex.org/W2012063573","https://openalex.org/W2391133415","https://openalex.org/W2371151875","https://openalex.org/W2064989302","https://openalex.org/W2376206211","https://openalex.org/W2152776432","https://openalex.org/W2605526166"],"abstract_inverted_index":{"Rough":[0],"set":[1,12,20],"theory":[2,21,160],"operates":[3],"on":[4],"an":[5,51,140],"information":[6,66],"system":[7],"that":[8,23],"consists":[9],"of":[10,13,18,24,35,50,61,76,78,81,87,110,122,135,156,158,161],"a":[11,32,44,97,151],"objects.":[14],"A":[15,124],"core":[16],"concept":[17,109],"rough":[19,162],"is":[22,54],"equivalence":[25],"between":[26,37],"objects":[27],"called":[28],"indiscernibility.":[29],"Indiscernibility":[30],"reflects":[31],"total":[33],"impossibility":[34],"distinguishing":[36],"objects,":[38],"considering":[39],"the":[40,59,65,79,82,119,133,159],"available":[41],"information.":[42],"Considering":[43],"tolerance":[45,71],"or":[46],"similarity":[47,101,111],"relation":[48,53,72,84,102],"instead":[49],"indiscernibility":[52,69],"quite":[55],"relevant":[56],"due":[57],"to":[58,70,117,131,142,149],"existence":[60],"quantitative":[62],"attributes":[63],"in":[64,74,85],"systems.":[67],"Extending":[68],"results":[73],"weakening":[75],"some":[77],"properties":[80],"binary":[83],"terms":[86],"reflexivity,":[88],"symmetry":[89],"and":[90,153],"transitivity.":[91],"In":[92],"this":[93],"paper,":[94],"we":[95],"present":[96,139],"clustering":[98],"technique":[99],"using":[100],"with":[103],"transitivity":[104],"property":[105],"being":[106],"relaxed.":[107],"The":[108],"upper":[112],"approximation":[113],"has":[114,128],"been":[115,129],"used":[116,130],"form":[118],"initial":[120],"family":[121],"cluster.":[123],"relationship":[125],"based":[126],"measure":[127],"decide":[132],"belongingness":[134],"uncertain":[136],"elements.":[137],"We":[138],"example":[141],"illustrate":[143],"our":[144],"proposed":[145],"methodology.":[146],"This":[147],"promises":[148],"be":[150],"useful":[152],"interesting":[154],"area":[155],"extension":[157],"sets.":[163]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}