{"id":"https://openalex.org/W2119801970","doi":"https://doi.org/10.1109/grc.2013.6740372","title":"Bi-superintuitionistic logics for rough sets","display_name":"Bi-superintuitionistic logics for rough sets","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2119801970","doi":"https://doi.org/10.1109/grc.2013.6740372","mag":"2119801970"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2013.6740372","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2013.6740372","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Granular Computing (GrC)","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/A5048667897","display_name":"Seiki Akama","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Seiki Akama","raw_affiliation_strings":["1-20-1, Higashi-Yurigaoka, Asao-ku, Kawasaki-shi, 215-0012, Japan"],"affiliations":[{"raw_affiliation_string":"1-20-1, Higashi-Yurigaoka, Asao-ku, Kawasaki-shi, 215-0012, Japan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110512145","display_name":"Tetsuya Murai","orcid":null},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tetsuya Murai","raw_affiliation_strings":["Graduate School of Engineering, Hokkaido University, Sapporo, Japan","Grad. Sch. of Eng., Hokkaido Univ., Sapporo, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Hokkaido University, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Grad. Sch. of Eng., Hokkaido Univ., Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054917794","display_name":"Yasuo Kudo","orcid":"https://orcid.org/0009-0009-2968-1448"},"institutions":[{"id":"https://openalex.org/I41725924","display_name":"Muroran Institute of Technology","ror":"https://ror.org/04rymkk69","country_code":"JP","type":"education","lineage":["https://openalex.org/I41725924"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasuo Kudo","raw_affiliation_strings":["Department of Computer Science and Systems Engineering, Muroran Institute of Technology, Muroran, Japan","[Department of Computer Science and Systems Engineering, Muroran Institute of Technology, Muroran, Japan]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Systems Engineering, Muroran Institute of Technology, Muroran, Japan","institution_ids":["https://openalex.org/I41725924"]},{"raw_affiliation_string":"[Department of Computer Science and Systems Engineering, Muroran Institute of Technology, Muroran, Japan]","institution_ids":["https://openalex.org/I41725924"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048667897"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14405604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":null,"first_page":"10","last_page":"15"},"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10181","display_name":"Natural Language Processing Techniques","score":0.932699978351593,"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/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.7791955471038818},{"id":"https://openalex.org/keywords/heyting-algebra","display_name":"Heyting algebra","score":0.7318167090415955},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.7305140495300293},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.6561809778213501},{"id":"https://openalex.org/keywords/t-norm-fuzzy-logics","display_name":"T-norm fuzzy logics","score":0.5641855001449585},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.5342686772346497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.497609406709671},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.48023682832717896},{"id":"https://openalex.org/keywords/\u0142ukasiewicz-logic","display_name":"\u0141ukasiewicz logic","score":0.4549751281738281},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4487603008747101},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.42684391140937805},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3751322329044342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37299907207489014},{"id":"https://openalex.org/keywords/substructural-logic","display_name":"Substructural logic","score":0.3295425772666931},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.3131563663482666},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3009626269340515},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.23145946860313416},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2228923738002777},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.21203598380088806},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13442867994308472},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.0795624852180481},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.06991443037986755}],"concepts":[{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.7791955471038818},{"id":"https://openalex.org/C187062830","wikidata":"https://www.wikidata.org/wiki/Q1617044","display_name":"Heyting algebra","level":3,"score":0.7318167090415955},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.7305140495300293},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.6561809778213501},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.5641855001449585},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.5342686772346497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.497609406709671},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.48023682832717896},{"id":"https://openalex.org/C206321295","wikidata":"https://www.wikidata.org/wiki/Q8080919","display_name":"\u0141ukasiewicz logic","level":5,"score":0.4549751281738281},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4487603008747101},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.42684391140937805},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3751322329044342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37299907207489014},{"id":"https://openalex.org/C144760519","wikidata":"https://www.wikidata.org/wiki/Q839490","display_name":"Substructural logic","level":4,"score":0.3295425772666931},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.3131563663482666},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3009626269340515},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.23145946860313416},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2228923738002777},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.21203598380088806},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13442867994308472},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0795624852180481},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.06991443037986755},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2013.6740372","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2013.6740372","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Granular Computing (GrC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W10978468","https://openalex.org/W1557923305","https://openalex.org/W1602202955","https://openalex.org/W1602345113","https://openalex.org/W1971226702","https://openalex.org/W1995776027","https://openalex.org/W2001117289","https://openalex.org/W2014085418","https://openalex.org/W2048522539","https://openalex.org/W2113324429","https://openalex.org/W4213130966","https://openalex.org/W4255833381","https://openalex.org/W4285719527","https://openalex.org/W6636066332"],"related_works":["https://openalex.org/W4385766541","https://openalex.org/W4294175725","https://openalex.org/W2310799747","https://openalex.org/W1566013760","https://openalex.org/W2952610483","https://openalex.org/W4299522860","https://openalex.org/W88232665","https://openalex.org/W2119801970","https://openalex.org/W1785615301","https://openalex.org/W1968826078"],"abstract_inverted_index":{"Bi-intuitionistic":[0],"logic,":[1,5],"also":[2],"called":[3],"Heyting-Brouwer":[4],"is":[6,25],"a":[7,56,68],"logic":[8,18,32,54],"based":[9,19],"on":[10,20],"Heyting":[11],"and":[12,35,71,84],"Brouwerian":[13],"algebras.":[14],"A":[15],"rough":[16,59,83],"set":[17,60],"regular":[21],"double":[22],"Stone":[23],"algebra":[24],"regarded":[26],"as":[27,55,78],"the":[28,44],"extension":[29],"of":[30,46],"bi-intuitionistic":[31,53],"without":[33],"intuitionistic":[34,37],"dual":[36],"implication.":[38],"In":[39],"this":[40],"paper,":[41],"we":[42],"discuss":[43],"aspects":[45],"bi-superintuitionistic":[47,65],"logics":[48,66,75],"which":[49],"are":[50],"stronger":[51],"than":[52],"foundation":[57],"for":[58,80],"logics.":[61],"We":[62],"propose":[63],"some":[64],"with":[67],"Kripke":[69],"semantics":[70],"natural":[72],"deduction.":[73],"These":[74],"can":[76],"serve":[77],"foundations":[79],"reasoning":[81],"about":[82],"vague":[85],"information.":[86]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
