{"id":"https://openalex.org/W2000133014","doi":"https://doi.org/10.1109/is.2012.6335204","title":"A new point of view to the inclusion — Exclusion principle","display_name":"A new point of view to the inclusion — Exclusion principle","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2000133014","doi":"https://doi.org/10.1109/is.2012.6335204","mag":"2000133014"},"language":"en","primary_location":{"id":"doi:10.1109/is.2012.6335204","is_oa":false,"landing_page_url":"https://doi.org/10.1109/is.2012.6335204","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 6th IEEE INTERNATIONAL CONFERENCE INTELLIGENT 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/A5042491002","display_name":"Lavinia Corina Ciungu","orcid":null},"institutions":[{"id":"https://openalex.org/I139325414","display_name":"University of Central Oklahoma","ror":"https://ror.org/02n455404","country_code":"US","type":"education","lineage":["https://openalex.org/I139325414"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lavinia Corina Ciungu","raw_affiliation_strings":["University of Central Oklahoma, Edmond, OK, USA","University of Central Oklahoma, 100 N. University Drive, Edmond, OK 73034, USA"],"affiliations":[{"raw_affiliation_string":"University of Central Oklahoma, Edmond, OK, USA","institution_ids":["https://openalex.org/I139325414"]},{"raw_affiliation_string":"University of Central Oklahoma, 100 N. University Drive, Edmond, OK 73034, USA","institution_ids":["https://openalex.org/I139325414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007590255","display_name":"Jana Kelemenov\u00e1","orcid":null},"institutions":[{"id":"https://openalex.org/I59655833","display_name":"Matej Bel University","ror":"https://ror.org/016e5hy63","country_code":"SK","type":"education","lineage":["https://openalex.org/I59655833"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Jana Kelemenova","raw_affiliation_strings":["Faculty of Natural Sciences, Department of Mathematics, Matej Bel University, Edmond, OK, USA","Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovsk\u00e9ho 40, Bansk\u00e1 Bystrica, Slovakia"],"affiliations":[{"raw_affiliation_string":"Faculty of Natural Sciences, Department of Mathematics, Matej Bel University, Edmond, OK, USA","institution_ids":[]},{"raw_affiliation_string":"Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovsk\u00e9ho 40, Bansk\u00e1 Bystrica, Slovakia","institution_ids":["https://openalex.org/I59655833"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046677063","display_name":"Beloslav Rie\u010dan","orcid":null},"institutions":[{"id":"https://openalex.org/I59655833","display_name":"Matej Bel University","ror":"https://ror.org/016e5hy63","country_code":"SK","type":"education","lineage":["https://openalex.org/I59655833"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Beloslav Riecan","raw_affiliation_strings":["Faculty of Natural Sciences, Department of Mathematics, Matej Bel University, Banska Bystrica, Slovakia","Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovsk\u00e9ho 40, Bansk\u00e1 Bystrica, Slovakia"],"affiliations":[{"raw_affiliation_string":"Faculty of Natural Sciences, Department of Mathematics, Matej Bel University, Banska Bystrica, Slovakia","institution_ids":["https://openalex.org/I59655833"]},{"raw_affiliation_string":"Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovsk\u00e9ho 40, Bansk\u00e1 Bystrica, Slovakia","institution_ids":["https://openalex.org/I59655833"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042491002"],"corresponding_institution_ids":["https://openalex.org/I139325414"],"apc_list":null,"apc_paid":null,"fwci":1.5158068,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8576112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"17","issue":null,"first_page":"142","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14175","display_name":"Intuitionistic Fuzzy Systems Applications","score":0.9995999932289124,"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/T14175","display_name":"Intuitionistic Fuzzy Systems Applications","score":0.9995999932289124,"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":0.9879000186920166,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9523000121116638,"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/inclusion","display_name":"Inclusion (mineral)","score":0.670822024345398},{"id":"https://openalex.org/keywords/inclusion\u2013exclusion-principle","display_name":"Inclusion\u2013exclusion principle","score":0.6310171484947205},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5330219268798828},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.47638243436813354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47462737560272217},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.454662024974823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44276684522628784},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4405117928981781},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.42102566361427307},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18272212147712708},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.16422748565673828},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.15976738929748535},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.1013689637184143},{"id":"https://openalex.org/keywords/social-science","display_name":"Social science","score":0.08373543620109558}],"concepts":[{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.670822024345398},{"id":"https://openalex.org/C134320572","wikidata":"https://www.wikidata.org/wiki/Q849335","display_name":"Inclusion\u2013exclusion principle","level":3,"score":0.6310171484947205},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5330219268798828},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.47638243436813354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47462737560272217},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.454662024974823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44276684522628784},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4405117928981781},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.42102566361427307},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18272212147712708},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.16422748565673828},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.15976738929748535},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.1013689637184143},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.08373543620109558},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/is.2012.6335204","is_oa":false,"landing_page_url":"https://doi.org/10.1109/is.2012.6335204","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 6th IEEE INTERNATIONAL CONFERENCE INTELLIGENT SYSTEMS","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1483273514","https://openalex.org/W1711841455","https://openalex.org/W2004946689","https://openalex.org/W2072781955","https://openalex.org/W2085520330","https://openalex.org/W2155396254","https://openalex.org/W4292295629"],"related_works":["https://openalex.org/W2621437814","https://openalex.org/W4297579776","https://openalex.org/W3145111349","https://openalex.org/W3199956003","https://openalex.org/W3112711676","https://openalex.org/W2106500099","https://openalex.org/W607749262","https://openalex.org/W2237929559","https://openalex.org/W1604012438","https://openalex.org/W847291757"],"abstract_inverted_index":{"Applying":[0],"two":[1,12],"definitions":[2],"for":[3,18],"the":[4,15,35],"union":[5],"of":[6,14],"IF-events":[7,19],"P.":[8],"Grzegorzewski":[9],"([5])":[10],"gave":[11],"characterizatios":[13],"inclusion-exclusion":[16],"principle":[17],"(=":[20],"intuitionistic":[21],"fuzzy":[22],"sets":[23],"in":[24,47],"Atanassov's":[25],"sense).":[26],"In":[27],"this":[28],"paper":[29],"we":[30],"consider":[31],"such":[32],"operations":[33],"that":[34],"Grzegozrewski":[36],"approach":[37],"is":[38,45],"a":[39],"very":[40],"special":[41],"case.":[42],"Our":[43],"proof":[44],"new":[46],"some":[48],"sense.":[49]},"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},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}