{"id":"https://openalex.org/W2124492966","doi":"https://doi.org/10.1109/fuzzy.2011.6007704","title":"Graded equipollence and fuzzy c-measures of finite fuzzy sets","display_name":"Graded equipollence and fuzzy c-measures of finite fuzzy sets","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2124492966","doi":"https://doi.org/10.1109/fuzzy.2011.6007704","mag":"2124492966"},"language":"es","primary_location":{"id":"doi:10.1109/fuzzy.2011.6007704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2011.6007704","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011)","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/A5043083576","display_name":"Michal Hol\u010dapek","orcid":"https://orcid.org/0000-0002-4654-0497"},"institutions":[{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Michal Holcapek","raw_affiliation_strings":["Institute of Research and Applications of Fuzzy Modeling, University of Ostrava, Ostrava, Czech Republic","Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30, dubna 22, 701 03 Ostrava 1, Czech Republic#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Research and Applications of Fuzzy Modeling, University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]},{"raw_affiliation_string":"Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30, dubna 22, 701 03 Ostrava 1, Czech Republic#TAB#","institution_ids":["https://openalex.org/I187293425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043083576"],"corresponding_institution_ids":["https://openalex.org/I187293425"],"apc_list":null,"apc_paid":null,"fwci":0.8194,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77510139,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":null,"first_page":"2375","last_page":"2382"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9810000061988831,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9810000061988831,"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"}},{"id":"https://openalex.org/T13062","display_name":"Cognitive Computing and Networks","score":0.964900016784668,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9607999920845032,"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/mathematics","display_name":"Mathematics","score":0.7589105367660522},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.7177209258079529},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.6279429793357849},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6256840229034424},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6196213960647583},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.6057227253913879},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.6010343432426453},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5500607490539551},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.5250608325004578},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.5147019028663635},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5070188045501709},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.4976482689380646},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.44492626190185547},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4101809859275818},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26604750752449036},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2512626647949219},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2041948139667511},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.0619734525680542}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7589105367660522},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.7177209258079529},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.6279429793357849},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6256840229034424},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6196213960647583},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.6057227253913879},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.6010343432426453},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5500607490539551},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.5250608325004578},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.5147019028663635},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5070188045501709},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.4976482689380646},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.44492626190185547},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4101809859275818},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26604750752449036},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2512626647949219},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2041948139667511},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0619734525680542}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2011.6007704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2011.6007704","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W45128760","https://openalex.org/W142484435","https://openalex.org/W246487436","https://openalex.org/W366887562","https://openalex.org/W1517850710","https://openalex.org/W1543354441","https://openalex.org/W1550050333","https://openalex.org/W1575927040","https://openalex.org/W1967507520","https://openalex.org/W1974179339","https://openalex.org/W1980080444","https://openalex.org/W2019529630","https://openalex.org/W2027018853","https://openalex.org/W2032800284","https://openalex.org/W2038256537","https://openalex.org/W2054714119","https://openalex.org/W2055077970","https://openalex.org/W2067580936","https://openalex.org/W2070811859","https://openalex.org/W2105315608","https://openalex.org/W2111305343","https://openalex.org/W2137943563","https://openalex.org/W2150397121","https://openalex.org/W2159862971","https://openalex.org/W2160422000","https://openalex.org/W2167297329","https://openalex.org/W2296595206","https://openalex.org/W2402970597","https://openalex.org/W2484707304","https://openalex.org/W2491288247","https://openalex.org/W2911283634","https://openalex.org/W4236629293","https://openalex.org/W4244341926","https://openalex.org/W4301630257","https://openalex.org/W4312982345","https://openalex.org/W6682291664","https://openalex.org/W6689723076","https://openalex.org/W6697264925"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W4242545108","https://openalex.org/W2116819400","https://openalex.org/W2088978098","https://openalex.org/W2048452567","https://openalex.org/W1996900481","https://openalex.org/W2092290989","https://openalex.org/W2026829949","https://openalex.org/W2121560876","https://openalex.org/W1489009679"],"abstract_inverted_index":{"In":[0,26],"the":[1,7,12,18,27,35,42,57,62,70,80,87],"classical":[2],"set":[3,29],"theory,":[4,30],"there":[5],"is":[6,54,76],"well":[8],"known":[9],"correspondence":[10,33],"between":[11,34],"equipollence":[13,36,72,82],"of":[14,20,37,44,73,83,89],"finite":[15,38],"sets":[16,40,75,85,91],"and":[17,41,86],"equality":[19,43,88],"natural":[21],"numbers":[22],"expressing":[23],"their":[24,93],"cardinalities.":[25],"fuzzy":[28,39,74,84,90],"an":[31],"equivalent":[32],"generalized":[45],"cardinals":[46],"has":[47],"been":[48],"proposed":[49],"in":[50],"[1].":[51],"This":[52],"paper":[53],"devoted":[55],"to":[56,65],"situation":[58],"when":[59],"we":[60],"consider":[61],"mentioned":[63],"relations":[64],"be":[66],"graded,":[67],"that":[68],"means,":[69],"crisp":[71],"replaced":[77],"now":[78],"by":[79,92],"graded":[81],"similarity.":[94]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
