{"id":"https://openalex.org/W2804191647","doi":"https://doi.org/10.1007/978-3-319-91473-2_52","title":"Fuzzy Boundary Weak Implications","display_name":"Fuzzy Boundary Weak Implications","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2804191647","doi":"https://doi.org/10.1007/978-3-319-91473-2_52","mag":"2804191647"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-91473-2_52","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-91473-2_52","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"Communications in Computer and Information 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/A5102923717","display_name":"Huawen Liu","orcid":"https://orcid.org/0000-0003-0535-4652"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hua-Wen Liu","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, 250100, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, 250100, Shandong, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003579916","display_name":"Micha\u0142 Baczy\u0144ski","orcid":"https://orcid.org/0000-0002-4442-2112"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I864159182","display_name":"University of Silesia in Katowice","ror":"https://ror.org/0104rcc94","country_code":"PL","type":"education","lineage":["https://openalex.org/I864159182"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Baczy\u0144ski","raw_affiliation_strings":["Institute of Mathematics, University of Silesia in Katowice, Bankowa 14, 40-007, Katowice, Poland"],"raw_orcid":"https://orcid.org/0000-0002-4442-2112","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Silesia in Katowice, Bankowa 14, 40-007, Katowice, Poland","institution_ids":["https://openalex.org/I4210137370","https://openalex.org/I864159182"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102923717"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.3331,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51210461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"611","last_page":"622"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12945","display_name":"Quality Function Deployment in Product Design","score":0.9735000133514404,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7319501638412476},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.6479429006576538},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.618095874786377},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5202245116233826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4921933710575104},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4454536736011505},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4275953471660614},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4241424798965454},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42343848943710327},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.41103076934814453},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.38268405199050903},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08602163195610046},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0696345865726471},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06371322274208069}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7319501638412476},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.6479429006576538},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.618095874786377},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5202245116233826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4921933710575104},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4454536736011505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4275953471660614},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4241424798965454},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42343848943710327},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.41103076934814453},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.38268405199050903},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08602163195610046},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0696345865726471},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06371322274208069},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-91473-2_52","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-91473-2_52","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"Communications in Computer and Information Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1606108510","https://openalex.org/W2031601002","https://openalex.org/W2041486812","https://openalex.org/W2052215587","https://openalex.org/W2060878354","https://openalex.org/W2063556121","https://openalex.org/W2095408945","https://openalex.org/W2114065574","https://openalex.org/W2139654996","https://openalex.org/W2397557663","https://openalex.org/W2616791547","https://openalex.org/W2915061287","https://openalex.org/W4234672050","https://openalex.org/W4252793191"],"related_works":["https://openalex.org/W1486684451","https://openalex.org/W2087021805","https://openalex.org/W2166637398","https://openalex.org/W2066929655","https://openalex.org/W4388516489","https://openalex.org/W1487720066","https://openalex.org/W4361984403","https://openalex.org/W2904646179","https://openalex.org/W2608292510","https://openalex.org/W2148925928"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}