{"id":"https://openalex.org/W3081963653","doi":"https://doi.org/10.2478/jaiscr-2020-0018","title":"Triangular Fuzzy-Rough Set Based Fuzzification of Fuzzy Rule-Based Systems","display_name":"Triangular Fuzzy-Rough Set Based Fuzzification of Fuzzy Rule-Based Systems","publication_year":2020,"publication_date":"2020-06-15","ids":{"openalex":"https://openalex.org/W3081963653","doi":"https://doi.org/10.2478/jaiscr-2020-0018","mag":"3081963653"},"language":"en","primary_location":{"id":"doi:10.2478/jaiscr-2020-0018","is_oa":true,"landing_page_url":"https://doi.org/10.2478/jaiscr-2020-0018","pdf_url":"https://content.sciendo.com/downloadpdf/journals/jaiscr/10/4/article-p271.pdf","source":{"id":"https://openalex.org/S4210223945","display_name":"Journal of Artificial Intelligence and Soft Computing Research","issn_l":"2083-2567","issn":["2083-2567","2449-6499"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317241","host_organization_name":"Polish Neural Network Society, the University of Social Sciences in Lodz & Czestochowa University of Technology","host_organization_lineage":["https://openalex.org/P4310317241"],"host_organization_lineage_names":["Polish Neural Network Society, the University of Social Sciences in Lodz & Czestochowa University of Technology"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Artificial Intelligence and Soft Computing Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://content.sciendo.com/downloadpdf/journals/jaiscr/10/4/article-p271.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049983960","display_name":"Janusz T. Starczewski","orcid":"https://orcid.org/0000-0003-4694-7868"},"institutions":[{"id":"https://openalex.org/I130294970","display_name":"Cz\u0119stochowa University of Technology","ror":"https://ror.org/046awyn59","country_code":"PL","type":"education","lineage":["https://openalex.org/I130294970"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Janusz T. Starczewski","raw_affiliation_strings":["Department of Computational Intelligence , Czestochowa University of Technology , al. Armii Krajowej 36, 42-200 Cz\u0119stochowa , Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence , Czestochowa University of Technology , al. Armii Krajowej 36, 42-200 Cz\u0119stochowa , Poland","institution_ids":["https://openalex.org/I130294970"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015347708","display_name":"Piotr Goetzen","orcid":"https://orcid.org/0000-0001-7766-1833"},"institutions":[{"id":"https://openalex.org/I130785548","display_name":"Clark University","ror":"https://ror.org/04123ky43","country_code":"US","type":"education","lineage":["https://openalex.org/I130785548"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Piotr Goetzen","raw_affiliation_strings":["Information Technology Institute , University of Social Sciences , 90-113 \u0141\u00f3dz , and Clark University Worcester, MA 01610, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Technology Institute , University of Social Sciences , 90-113 \u0141\u00f3dz , and Clark University Worcester, MA 01610, USA","institution_ids":["https://openalex.org/I130785548"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025323940","display_name":"Christian Napoli","orcid":"https://orcid.org/0000-0002-3336-5853"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Christian Napoli","raw_affiliation_strings":["Department of Computer, Control and Management Engineering , Sapienza University of Rome , Via Ariosto 25 Roma 00185, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer, Control and Management Engineering , Sapienza University of Rome , Via Ariosto 25 Roma 00185, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049983960"],"corresponding_institution_ids":["https://openalex.org/I130294970"],"apc_list":null,"apc_paid":null,"fwci":2.4778,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.91526949,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"10","issue":"4","first_page":"271","last_page":"285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9988999962806702,"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":0.9988999962806702,"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/T10820","display_name":"Fuzzy Logic and Control Systems","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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9778000116348267,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.7390708923339844},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.7139727473258972},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.706671416759491},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.675114631652832},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6727041006088257},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6394764184951782},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.6352312564849854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.622958779335022},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5651081800460815},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5530932545661926},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.5138433575630188},{"id":"https://openalex.org/keywords/fuzzy-rule","display_name":"Fuzzy rule","score":0.4804531931877136},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4232252240180969},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.41004693508148193},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3948151469230652},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3494364619255066},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.336886465549469},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.327105313539505},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.05202692747116089}],"concepts":[{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.7390708923339844},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.7139727473258972},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.706671416759491},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.675114631652832},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6727041006088257},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6394764184951782},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.6352312564849854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.622958779335022},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5651081800460815},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5530932545661926},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.5138433575630188},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.4804531931877136},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4232252240180969},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.41004693508148193},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3948151469230652},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3494364619255066},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.336886465549469},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.327105313539505},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.05202692747116089}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/jaiscr-2020-0018","is_oa":true,"landing_page_url":"https://doi.org/10.2478/jaiscr-2020-0018","pdf_url":"https://content.sciendo.com/downloadpdf/journals/jaiscr/10/4/article-p271.pdf","source":{"id":"https://openalex.org/S4210223945","display_name":"Journal of Artificial Intelligence and Soft Computing Research","issn_l":"2083-2567","issn":["2083-2567","2449-6499"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317241","host_organization_name":"Polish Neural Network Society, the University of Social Sciences in Lodz & Czestochowa University of Technology","host_organization_lineage":["https://openalex.org/P4310317241"],"host_organization_lineage_names":["Polish Neural Network Society, the University of Social Sciences in Lodz & Czestochowa University of Technology"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Artificial Intelligence and Soft Computing Research","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1421642","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/1421642","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.2478/jaiscr-2020-0018","is_oa":true,"landing_page_url":"https://doi.org/10.2478/jaiscr-2020-0018","pdf_url":"https://content.sciendo.com/downloadpdf/journals/jaiscr/10/4/article-p271.pdf","source":{"id":"https://openalex.org/S4210223945","display_name":"Journal of Artificial Intelligence and Soft Computing Research","issn_l":"2083-2567","issn":["2083-2567","2449-6499"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317241","host_organization_name":"Polish Neural Network Society, the University of Social Sciences in Lodz & Czestochowa University of Technology","host_organization_lineage":["https://openalex.org/P4310317241"],"host_organization_lineage_names":["Polish Neural Network Society, the University of Social Sciences in Lodz & Czestochowa University of Technology"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Artificial Intelligence and Soft Computing Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3081963653.pdf","grobid_xml":"https://content.openalex.org/works/W3081963653.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W593218999","https://openalex.org/W1983658296","https://openalex.org/W2021429464","https://openalex.org/W2026829949","https://openalex.org/W2039037639","https://openalex.org/W2040197846","https://openalex.org/W2072195295","https://openalex.org/W2086821937","https://openalex.org/W2094585062","https://openalex.org/W2103232511","https://openalex.org/W2103624324","https://openalex.org/W2105234323","https://openalex.org/W2107934763","https://openalex.org/W2108225531","https://openalex.org/W2134306672","https://openalex.org/W2149604064","https://openalex.org/W2153744349","https://openalex.org/W2157041604","https://openalex.org/W2162933761","https://openalex.org/W2169018732","https://openalex.org/W2171753965","https://openalex.org/W2256057432","https://openalex.org/W2313153288","https://openalex.org/W2344717046","https://openalex.org/W2476633067","https://openalex.org/W2565065726","https://openalex.org/W2621072763","https://openalex.org/W2746378176","https://openalex.org/W2749135500","https://openalex.org/W2765718767","https://openalex.org/W2963096230","https://openalex.org/W2978713752","https://openalex.org/W2979719046","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W2166637398","https://openalex.org/W3186561448","https://openalex.org/W2375182298","https://openalex.org/W2347394627","https://openalex.org/W2025902904","https://openalex.org/W2573957424","https://openalex.org/W22698454","https://openalex.org/W3139034442","https://openalex.org/W2026829949"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"real-world":[2],"approximation":[3],"problems,":[4],"precise":[5,117],"input":[6],"data":[7,17],"are":[8,18,64,97],"economically":[9],"expensive.":[10],"Therefore,":[11],"fuzzy":[12,39,62,70,89],"methods":[13],"devoted":[14],"to":[15,52,66,130],"uncertain":[16,126],"in":[19,36,43,58,92],"the":[20,54,77,101],"focus":[21],"of":[22,34,56,76,84,103],"current":[23],"research.":[24],"Consequently,":[25],"a":[26,37,74,82,85],"method":[27],"based":[28],"on":[29,116],"fuzzy-rough":[30],"sets":[31],"for":[32,125],"fuzzification":[33],"inputs":[35],"rule-based":[38],"system":[40,91,114],"is":[41,50,109,120,128],"discussed":[42],"this":[44],"paper.":[45],"A":[46],"triangular":[47,61,107],"membership":[48,95],"function":[49],"applied":[51],"describe":[53],"nature":[55],"imprecision":[57],"data.":[59],"Firstly,":[60],"partitions":[63],"introduced":[65],"approximate":[67],"common":[68],"antecedent":[69],"rule":[71],"sets.":[72],"As":[73],"consequence":[75],"proposed":[78],"method,":[79],"we":[80],"obtain":[81],"structure":[83],"general":[86],"(non-interval)":[87],"type-2":[88],"logic":[90],"which":[93,119],"secondary":[94],"functions":[96],"cropped":[98],"triangular.":[99],"Then,":[100],"possibility":[102],"applying":[104],"so-called":[105],"regular":[106],"norms":[108],"discussed.":[110],"Finally,":[111],"an":[112],"experimental":[113],"constructed":[115],"data,":[118,127],"then":[121],"transformed":[122],"and":[123],"verified":[124],"provided":[129],"demonstrate":[131],"its":[132],"basic":[133],"properties.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":10}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}