{"id":"https://openalex.org/W1984332405","doi":"https://doi.org/10.3166/jancl.16.485-506","title":"Fuzzy modal-like approximation operators based on double residuated lattices","display_name":"Fuzzy modal-like approximation operators based on double residuated lattices","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1984332405","doi":"https://doi.org/10.3166/jancl.16.485-506","mag":"1984332405"},"language":"en","primary_location":{"id":"doi:10.3166/jancl.16.485-506","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.16.485-506","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-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/A5013291803","display_name":"Anna Maria Radzikowska","orcid":"https://orcid.org/0000-0001-7435-4512"},"institutions":[{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"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"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Anna Maria Radzikowska","raw_affiliation_strings":["a Faculty of Mathematics and Information Science , Warsaw University of Technology , Plac Politechniki 1, 00\u2013661 , Warsaw , Poland","b System Research Institute , Polish Academy of Science , Newelska 6, 01\u2013447 , Warsaw , Poland"],"affiliations":[{"raw_affiliation_string":"a Faculty of Mathematics and Information Science , Warsaw University of Technology , Plac Politechniki 1, 00\u2013661 , Warsaw , Poland","institution_ids":["https://openalex.org/I108403487"]},{"raw_affiliation_string":"b System Research Institute , Polish Academy of Science , Newelska 6, 01\u2013447 , Warsaw , Poland","institution_ids":["https://openalex.org/I66083562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013291803"],"corresponding_institution_ids":["https://openalex.org/I108403487","https://openalex.org/I66083562"],"apc_list":null,"apc_paid":null,"fwci":0.327,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57490593,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"3-4","first_page":"485","last_page":"506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9997000098228455,"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":0.9997000098228455,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9937000274658203,"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":0.9779000282287598,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.7053505182266235},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6575777530670166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5777559280395508},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5693740844726562},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5629448890686035},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5495570302009583},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.5385512113571167},{"id":"https://openalex.org/keywords/residuated-lattice","display_name":"Residuated lattice","score":0.5139891505241394},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5111024975776672},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.45738571882247925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3981756269931793},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3797941207885742},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3658902645111084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3441336154937744},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3212066888809204},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3074260652065277},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1952228546142578},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08163771033287048}],"concepts":[{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.7053505182266235},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6575777530670166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5777559280395508},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5693740844726562},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5629448890686035},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5495570302009583},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.5385512113571167},{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.5139891505241394},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5111024975776672},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.45738571882247925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3981756269931793},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3797941207885742},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3658902645111084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3441336154937744},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3212066888809204},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3074260652065277},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1952228546142578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08163771033287048},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3166/jancl.16.485-506","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.16.485-506","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W101848352","https://openalex.org/W270056808","https://openalex.org/W276045325","https://openalex.org/W375015757","https://openalex.org/W1480405493","https://openalex.org/W1484754041","https://openalex.org/W1485625483","https://openalex.org/W1514758454","https://openalex.org/W1557923305","https://openalex.org/W1576125407","https://openalex.org/W1584679449","https://openalex.org/W1586066135","https://openalex.org/W1596067335","https://openalex.org/W1898259180","https://openalex.org/W1935122958","https://openalex.org/W1976239553","https://openalex.org/W1983382657","https://openalex.org/W2002680690","https://openalex.org/W2014085418","https://openalex.org/W2027654459","https://openalex.org/W2031035469","https://openalex.org/W2054416947","https://openalex.org/W2057821078","https://openalex.org/W2103565147","https://openalex.org/W2110182592","https://openalex.org/W2119879833","https://openalex.org/W2148443116","https://openalex.org/W2164562810","https://openalex.org/W2165267798","https://openalex.org/W2587962973","https://openalex.org/W2615036786","https://openalex.org/W2912565176","https://openalex.org/W4205471131","https://openalex.org/W4211007335","https://openalex.org/W4213427446","https://openalex.org/W4239097602","https://openalex.org/W4242309855","https://openalex.org/W4244624434","https://openalex.org/W4255833381","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2966036268","https://openalex.org/W2083028880","https://openalex.org/W2085980859","https://openalex.org/W1529494625","https://openalex.org/W2087540826","https://openalex.org/W2164780241","https://openalex.org/W2048857687","https://openalex.org/W2342017063","https://openalex.org/W4205376613","https://openalex.org/W2131767845"],"abstract_inverted_index":{"In":[0,34],"many":[1],"applications":[2],"we":[3,37],"have":[4,54],"a":[5,39],"set":[6,51],"of":[7,27,42,45,78],"objects":[8,28],"together":[9],"with":[10],"their":[11],"properties.":[12],"Since":[13],"the":[14,22],"available":[15],"information":[16],"is":[17],"usually":[18],"incomplete":[19],"and/or":[20],"imprecise,":[21],"true":[23],"knowledge":[24],"about":[25],"subsets":[26],"can":[29],"be":[30],"determined":[31],"approximately":[32],"only.":[33],"this":[35],"paper,":[36],"discuss":[38],"fuzzy":[40,50],"generalisation":[41],"two":[43],"pairs":[44],"relation-based":[46],"operators":[47,80],"suitable":[48],"for":[49],"approximations,":[52],"which":[53],"been":[55],"recently":[56],"investigated":[57],"by":[58,66],"D\u00fcntsch":[59],"and":[60,68],"Gediga.":[61],"Double":[62],"residuated":[63],"lattices,":[64],"introduced":[65],"Orlowska":[67],"Radzikowska,":[69],"are":[70,81],"taken":[71],"as":[72],"basic":[73],"algebraic":[74],"structures.":[75],"Main":[76],"properties":[77],"these":[79],"presented.":[82]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}