{"id":"https://openalex.org/W1995795346","doi":"https://doi.org/10.1007/s005000100145","title":"Properties of the solution set of a fuzzy relation equation from the viewpoint of attainability","display_name":"Properties of the solution set of a fuzzy relation equation from the viewpoint of attainability","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W1995795346","doi":"https://doi.org/10.1007/s005000100145","mag":"1995795346"},"language":"en","primary_location":{"id":"doi:10.1007/s005000100145","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000100145","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5077220801","display_name":"Hideyuki Imai","orcid":"https://orcid.org/0000-0002-3793-1146"},"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":"H. Imai","raw_affiliation_strings":["Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , , , , , JP","Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , JP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , , , , , JP","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , JP","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060354017","display_name":"Masaaki Miyakoshi","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":"M. Miyakoshi","raw_affiliation_strings":["Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , , , , , JP","Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , JP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , , , , , JP","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , JP","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101890887","display_name":"Y. Sato","orcid":"https://orcid.org/0009-0004-7052-7163"},"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":"Y. Sato","raw_affiliation_strings":["Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , , , , , JP","Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , JP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , , , , , JP","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Division of Systems and Information Engineering, Hokkaido University, Sapporo, 060-8628, Japan, , JP","institution_ids":["https://openalex.org/I205349734"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I205349734"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.5526,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79089345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"2","first_page":"87","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9871000051498413,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9871000051498413,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9257000088691711,"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/relation","display_name":"Relation (database)","score":0.8300341963768005},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.7259143590927124},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7166463732719421},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6109742522239685},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5882827043533325},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5787065029144287},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5777524709701538},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.4772753119468689},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3833414316177368},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3632351756095886},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3480835556983948},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33255866169929504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24335646629333496},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1214037835597992},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11682724952697754},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07761526107788086}],"concepts":[{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.8300341963768005},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.7259143590927124},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7166463732719421},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6109742522239685},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5882827043533325},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5787065029144287},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5777524709701538},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.4772753119468689},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3833414316177368},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3632351756095886},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3480835556983948},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33255866169929504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24335646629333496},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1214037835597992},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11682724952697754},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07761526107788086},{"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:10.1007/s005000100145","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000100145","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2156982617","https://openalex.org/W2056040336","https://openalex.org/W2539584098","https://openalex.org/W3121338104","https://openalex.org/W3122339246","https://openalex.org/W2612614191","https://openalex.org/W2379390860","https://openalex.org/W2391083822","https://openalex.org/W2154895971","https://openalex.org/W1995795346"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}