{"id":"https://openalex.org/W1593621129","doi":"https://doi.org/10.1007/978-3-540-77664-2_20","title":"Some Properties of Logic Functions over Multi-interval Truth Values","display_name":"Some Properties of Logic Functions over Multi-interval Truth Values","publication_year":2008,"publication_date":"2008-01-10","ids":{"openalex":"https://openalex.org/W1593621129","doi":"https://doi.org/10.1007/978-3-540-77664-2_20","mag":"1593621129"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77664-2_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77664-2_20","pdf_url":null,"source":{"id":"https://openalex.org/S4210167543","display_name":"Advances in soft computing","issn_l":"1615-3871","issn":["1615-3871","1860-0794"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5102878268","display_name":"Noboru Takagi","orcid":"https://orcid.org/0000-0002-4099-9651"},"institutions":[{"id":"https://openalex.org/I63216439","display_name":"Toyama Prefectural University","ror":"https://ror.org/03xgh2v50","country_code":"JP","type":"education","lineage":["https://openalex.org/I63216439"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Noboru Takagi","raw_affiliation_strings":["Department of Intelligent Systems Design Engineering, Toyama Prefectural University,","Toyama Prefectural University"],"affiliations":[{"raw_affiliation_string":"Department of Intelligent Systems Design Engineering, Toyama Prefectural University,","institution_ids":["https://openalex.org/I63216439"]},{"raw_affiliation_string":"Toyama Prefectural University","institution_ids":["https://openalex.org/I63216439"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102878268"],"corresponding_institution_ids":["https://openalex.org/I63216439"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12027345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"256","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9984999895095825,"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":0.9984999895095825,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9970999956130981,"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":0.9969000220298767,"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/truth-function","display_name":"Truth function","score":0.8698222637176514},{"id":"https://openalex.org/keywords/truth-value","display_name":"Truth value","score":0.7957848906517029},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6611058712005615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6352171301841736},{"id":"https://openalex.org/keywords/logical-connective","display_name":"Logical connective","score":0.5518758893013},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35042357444763184},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20721203088760376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20597431063652039},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.11831662058830261}],"concepts":[{"id":"https://openalex.org/C37754750","wikidata":"https://www.wikidata.org/wiki/Q913874","display_name":"Truth function","level":3,"score":0.8698222637176514},{"id":"https://openalex.org/C46274116","wikidata":"https://www.wikidata.org/wiki/Q185521","display_name":"Truth value","level":2,"score":0.7957848906517029},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6611058712005615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6352171301841736},{"id":"https://openalex.org/C194989596","wikidata":"https://www.wikidata.org/wiki/Q211790","display_name":"Logical connective","level":2,"score":0.5518758893013},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35042357444763184},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20721203088760376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20597431063652039},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.11831662058830261},{"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:10.1007/978-3-540-77664-2_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77664-2_20","pdf_url":null,"source":{"id":"https://openalex.org/S4210167543","display_name":"Advances in soft computing","issn_l":"1615-3871","issn":["1615-3871","1860-0794"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W131053219","https://openalex.org/W1654288057","https://openalex.org/W1843456539","https://openalex.org/W1975112358","https://openalex.org/W2026829949","https://openalex.org/W2086936075","https://openalex.org/W2119667976","https://openalex.org/W2127954778","https://openalex.org/W2147340301","https://openalex.org/W2345350790","https://openalex.org/W2503606727","https://openalex.org/W2561675875"],"related_works":["https://openalex.org/W2116215193","https://openalex.org/W2368297593","https://openalex.org/W2022239108","https://openalex.org/W1593621129","https://openalex.org/W1504036030","https://openalex.org/W2341651163","https://openalex.org/W2130737103","https://openalex.org/W83549190","https://openalex.org/W2538728117","https://openalex.org/W2392011758"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
