{"id":"https://openalex.org/W4388516489","doi":"https://doi.org/10.1109/fuzz52849.2023.10309700","title":"Operations on Balanced Fuzzy Sets","display_name":"Operations on Balanced Fuzzy Sets","publication_year":2023,"publication_date":"2023-08-13","ids":{"openalex":"https://openalex.org/W4388516489","doi":"https://doi.org/10.1109/fuzz52849.2023.10309700"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz52849.2023.10309700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz52849.2023.10309700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Conference on Fuzzy Systems (FUZZ)","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/A5037404847","display_name":"Zofia Matusiewicz","orcid":"https://orcid.org/0000-0003-0523-0983"},"institutions":[{"id":"https://openalex.org/I4210109085","display_name":"University of Information Technology and Management in Rzeszow","ror":"https://ror.org/01t81sv44","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210109085"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Zofia Matusiewicz","raw_affiliation_strings":["University of Information Technology and Management,Department of Cognitive Science and Mathematical Modeling,Rzeszow,Poland","Department of Cognitive Science and Mathematical Modeling, University of Information Technology and Management, Rzeszow, Poland"],"affiliations":[{"raw_affiliation_string":"University of Information Technology and Management,Department of Cognitive Science and Mathematical Modeling,Rzeszow,Poland","institution_ids":["https://openalex.org/I4210109085"]},{"raw_affiliation_string":"Department of Cognitive Science and Mathematical Modeling, University of Information Technology and Management, Rzeszow, Poland","institution_ids":["https://openalex.org/I4210109085"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075878748","display_name":"W\u0142adys\u0142aw Homenda","orcid":"https://orcid.org/0000-0001-7787-4927"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]},{"id":"https://openalex.org/I4210109085","display_name":"University of Information Technology and Management in Rzeszow","ror":"https://ror.org/01t81sv44","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210109085"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"W\u0142adys\u0142aw Homenda","raw_affiliation_strings":["Warsaw University of Technology,Faculty of Mathematics and Information Science,Warsaw,Poland","Department of Artificial Intelligence, University of Information Technology and Management, Rzeszow, Poland","Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Warsaw University of Technology,Faculty of Mathematics and Information Science,Warsaw,Poland","institution_ids":["https://openalex.org/I108403487"]},{"raw_affiliation_string":"Department of Artificial Intelligence, University of Information Technology and Management, Rzeszow, Poland","institution_ids":["https://openalex.org/I4210109085"]},{"raw_affiliation_string":"Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037404847"],"corresponding_institution_ids":["https://openalex.org/I4210109085"],"apc_list":null,"apc_paid":null,"fwci":0.7636,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75617744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9993000030517578,"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":0.9993000030517578,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.996399998664856,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9779000282287598,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.764033317565918},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.762639045715332},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.721848726272583},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.6769113540649414},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6754928827285767},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6419974565505981},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6403305530548096},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5094745755195618},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4835917353630066},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46775364875793457},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.4505395293235779},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.42413803935050964},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3901415765285492},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34113824367523193},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3406798839569092}],"concepts":[{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.764033317565918},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.762639045715332},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.721848726272583},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.6769113540649414},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6754928827285767},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6419974565505981},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6403305530548096},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5094745755195618},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4835917353630066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46775364875793457},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.4505395293235779},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.42413803935050964},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3901415765285492},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34113824367523193},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3406798839569092},{"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/fuzz52849.2023.10309700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz52849.2023.10309700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Conference on Fuzzy Systems (FUZZ)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6000000238418579}],"awards":[],"funders":[{"id":"https://openalex.org/F4320328484","display_name":"Wy\u017csza Szko\u0142a Informatyki i Zarzadzania z siedziba w Rzeszowie","ror":"https://ror.org/01t81sv44"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1606108510","https://openalex.org/W1968690293","https://openalex.org/W2495940954","https://openalex.org/W2915061287","https://openalex.org/W4211007335","https://openalex.org/W4230846739","https://openalex.org/W4283738685","https://openalex.org/W4295700921"],"related_works":["https://openalex.org/W2781808531","https://openalex.org/W1487720066","https://openalex.org/W4361984403","https://openalex.org/W1975005191","https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W2145270521","https://openalex.org/W1542808721","https://openalex.org/W3186561448","https://openalex.org/W2025902904"],"abstract_inverted_index":{"This":[0],"study":[1,15],"is":[2,87],"based":[3],"on":[4,61],"an":[5],"extension":[6],"of":[7,30,34,52,67,82,99,102],"fuzzy":[8,12,45,53,57,75,85,92,120],"sets":[9,46,54],"called":[10],"balanced":[11,44,56,68,84,121],"sets.":[13,122],"The":[14],"makes":[16],"it":[17,95],"possible":[18],"to":[19,72],"describe":[20],"both":[21],"uncertain":[22],"and":[23,26,55,59,104],"incomplete":[24],"information":[25],"present":[27],"the":[28,50,65,80,97],"degree":[29],"membership":[31],"or":[32],"non-membership":[33],"a":[35,83,88],"set":[36,86,93],"relatively":[37],"efficiently.":[38],"In":[39,63],"this":[40],"work,":[41],"we":[42,70,116],"discuss":[43],"operators.":[47],"We":[48,107],"compare":[49],"concepts":[51,66,73],"sets,":[58,69],"operations":[60],"them.":[62],"introducing":[64],"refer":[71],"from":[74,112],"logic,":[76],"thus":[77],"showing":[78],"that":[79,90],"concept":[81,89],"extends":[91],"theory\u2014enriching":[94],"with":[96,119],"possibility":[98],"simultaneous":[100],"analysis":[101],"positive":[103],"negative":[105],"information.":[106],"also":[108],"give":[109],"numerous":[110],"examples":[111],"everyday":[113],"life,":[114],"where":[115],"encounter":[117],"problems":[118]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
