{"id":"https://openalex.org/W78188506","doi":"https://doi.org/10.1007/978-3-642-22833-9_76","title":"On Generating Functions of Two-Dimensional T-Norms","display_name":"On Generating Functions of Two-Dimensional T-Norms","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W78188506","doi":"https://doi.org/10.1007/978-3-642-22833-9_76","mag":"78188506"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-22833-9_76","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22833-9_76","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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":"Advances in Intelligent and 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/A5029982639","display_name":"Masaya Nohmi","orcid":null},"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":"Masaya Nohmi","raw_affiliation_strings":["Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Japan","Kyushu Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Japan","institution_ids":["https://openalex.org/I207014233"]},{"raw_affiliation_string":"Kyushu Institute of Technology","institution_ids":["https://openalex.org/I207014233"]}]},{"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":["Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Japan","Kyushu Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Japan","institution_ids":["https://openalex.org/I207014233"]},{"raw_affiliation_string":"Kyushu Institute of Technology","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/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":"Yoshiaki Okazaki","raw_affiliation_strings":["Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Japan","Kyushu Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Japan","institution_ids":["https://openalex.org/I207014233"]},{"raw_affiliation_string":"Kyushu Institute of Technology","institution_ids":["https://openalex.org/I207014233"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I207014233"],"apc_list":null,"apc_paid":null,"fwci":0.8566,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74536106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"627","last_page":"634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9994000196456909,"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":0.9965999722480774,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9957000017166138,"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/cartesian-product","display_name":"Cartesian product","score":0.743515133857727},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7105462551116943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6391663551330566},{"id":"https://openalex.org/keywords/t-norm","display_name":"T-norm","score":0.6219620704650879},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5436557531356812},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5262340903282166},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4485640525817871},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.3292868435382843},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32213374972343445},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.21726062893867493},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20212143659591675},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.07286044955253601},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.06517341732978821},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06332984566688538}],"concepts":[{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.743515133857727},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7105462551116943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6391663551330566},{"id":"https://openalex.org/C2721081","wikidata":"https://www.wikidata.org/wiki/Q2383161","display_name":"T-norm","level":5,"score":0.6219620704650879},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5436557531356812},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5262340903282166},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4485640525817871},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.3292868435382843},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32213374972343445},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.21726062893867493},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20212143659591675},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.07286044955253601},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.06517341732978821},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06332984566688538},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-22833-9_76","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22833-9_76","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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":"Advances in Intelligent and Soft Computing","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":4,"referenced_works":["https://openalex.org/W1993810822","https://openalex.org/W2583696945","https://openalex.org/W4234672050","https://openalex.org/W4312874483"],"related_works":["https://openalex.org/W2949097972","https://openalex.org/W4299640900","https://openalex.org/W2141418112","https://openalex.org/W2738565459","https://openalex.org/W3163064202","https://openalex.org/W2122782767","https://openalex.org/W3144382528","https://openalex.org/W2103158372","https://openalex.org/W4311349482","https://openalex.org/W2023725141"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
