{"id":"https://openalex.org/W1905725967","doi":"https://doi.org/10.1007/11539506_3","title":"Note on Interval-Valued Fuzzy Set","display_name":"Note on Interval-Valued Fuzzy Set","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1905725967","doi":"https://doi.org/10.1007/11539506_3","mag":"1905725967"},"language":"en","primary_location":{"id":"doi:10.1007/11539506_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11539506_3","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":"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/A5101952555","display_name":"Wenyi Zeng","orcid":"https://orcid.org/0000-0002-8699-2738"},"institutions":[{"id":"https://openalex.org/I28166907","display_name":"Karolinska Institutet","ror":"https://ror.org/056d84691","country_code":"SE","type":"education","lineage":["https://openalex.org/I28166907"]},{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN","SE"],"is_corresponding":true,"raw_author_name":"Wenyi Zeng","raw_affiliation_strings":["Department of Mathematics, Beijing Normal University, Beijing, 100875, P.R. China","Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, Stockholm, SE171 77, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beijing Normal University, Beijing, 100875, P.R. China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, Stockholm, SE171 77, Sweden","institution_ids":["https://openalex.org/I28166907"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078281046","display_name":"Yu Shi","orcid":"https://orcid.org/0000-0003-0735-9713"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Shi","raw_affiliation_strings":["Department of Mathematics, Beijing Normal University, Beijing, 100875, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beijing Normal University, Beijing, 100875, P.R. China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101952555"],"corresponding_institution_ids":["https://openalex.org/I25254941","https://openalex.org/I28166907"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.4958,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.83958793,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"20","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9980000257492065,"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":0.9980000257492065,"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":0.9962999820709229,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9951000213623047,"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/fuzzy-set","display_name":"Fuzzy set","score":0.7231525182723999},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7160258889198303},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6193791031837463},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5836963653564453},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.497531920671463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48062652349472046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4440041482448578},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.44353827834129333},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.41844090819358826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3693772852420807},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3404419422149658},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24062994122505188},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10105642676353455},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.03766149282455444}],"concepts":[{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.7231525182723999},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7160258889198303},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6193791031837463},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5836963653564453},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.497531920671463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48062652349472046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4440041482448578},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.44353827834129333},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.41844090819358826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3693772852420807},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3404419422149658},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24062994122505188},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10105642676353455},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.03766149282455444}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11539506_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11539506_3","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":15,"referenced_works":["https://openalex.org/W1969299656","https://openalex.org/W1985007634","https://openalex.org/W1993810822","https://openalex.org/W2013043714","https://openalex.org/W2035444758","https://openalex.org/W2053075120","https://openalex.org/W2068402605","https://openalex.org/W2147656947","https://openalex.org/W2155976821","https://openalex.org/W2157041604","https://openalex.org/W2598771954","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4240278385","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W2614887008","https://openalex.org/W4206081075","https://openalex.org/W2211233","https://openalex.org/W2184441312","https://openalex.org/W2331106272","https://openalex.org/W1486684451","https://openalex.org/W4361984403","https://openalex.org/W4361273540"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
