{"id":"https://openalex.org/W3199390562","doi":"https://doi.org/10.1007/978-3-030-85529-1_4","title":"On Two Generalizations for k-Additivity","display_name":"On Two Generalizations for k-Additivity","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3199390562","doi":"https://doi.org/10.1007/978-3-030-85529-1_4","mag":"3199390562"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-85529-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-85529-1_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5091528628","display_name":"Ryoji Fukuda","orcid":"https://orcid.org/0000-0003-1780-0787"},"institutions":[{"id":"https://openalex.org/I188815454","display_name":"Oita University","ror":"https://ror.org/01nyv7k26","country_code":"JP","type":"education","lineage":["https://openalex.org/I188815454"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ryoji Fukuda","raw_affiliation_strings":["Oita University, Oita, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oita University, Oita, Japan","institution_ids":["https://openalex.org/I188815454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045729715","display_name":"Aoi Honda","orcid":"https://orcid.org/0000-0002-4485-1523"},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Aoi Honda","raw_affiliation_strings":["Kyushu Institute of Technology, Iizuka, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyushu Institute of Technology, Iizuka, Japan","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111849729","display_name":"Yoshiaki Okazaki","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108100","display_name":"Fuzzy Systems Institute","ror":"https://ror.org/01ykj2t23","country_code":"JP","type":"other","lineage":["https://openalex.org/I4210108100"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshiaki Okazaki","raw_affiliation_strings":["Fuzzy Logic Systems Institute, Iizuka, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fuzzy Logic Systems Institute, Iizuka, Japan","institution_ids":["https://openalex.org/I4210108100"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"43","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9492999911308289,"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":0.9492999911308289,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9223999977111816,"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/additive-function","display_name":"Additive function","score":0.9862684011459351},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.8562126159667969},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.7425069212913513},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6249490976333618},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6196863651275635},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5400288105010986},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5217957496643066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5041564702987671},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3860749304294586},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3512391448020935},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34162431955337524},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09333476424217224},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07699954509735107}],"concepts":[{"id":"https://openalex.org/C38803922","wikidata":"https://www.wikidata.org/wiki/Q95745348","display_name":"Additive function","level":2,"score":0.9862684011459351},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.8562126159667969},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.7425069212913513},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6249490976333618},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6196863651275635},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5400288105010986},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5217957496643066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5041564702987671},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3860749304294586},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3512391448020935},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34162431955337524},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09333476424217224},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07699954509735107},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-85529-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-85529-1_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W357046174","https://openalex.org/W1544140021","https://openalex.org/W2017449401","https://openalex.org/W2049637061","https://openalex.org/W2063963792","https://openalex.org/W2745910301","https://openalex.org/W3080889172","https://openalex.org/W3139313305"],"related_works":["https://openalex.org/W2389768241","https://openalex.org/W3139313305","https://openalex.org/W111421306","https://openalex.org/W2899323569","https://openalex.org/W2076703525","https://openalex.org/W95311509","https://openalex.org/W4241386906","https://openalex.org/W2148108384","https://openalex.org/W1999179650","https://openalex.org/W2735401940"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
