{"id":"https://openalex.org/W4408081971","doi":"https://doi.org/10.1016/j.fss.2025.109335","title":"Topological properties and structure of fuzzy star-shaped numbers in noncompact sets","display_name":"Topological properties and structure of fuzzy star-shaped numbers in noncompact sets","publication_year":2025,"publication_date":"2025-02-26","ids":{"openalex":"https://openalex.org/W4408081971","doi":"https://doi.org/10.1016/j.fss.2025.109335"},"language":"en","primary_location":{"id":"doi:10.1016/j.fss.2025.109335","doi":"https://doi.org/10.1016/j.fss.2025.109335","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.fss.2025.109335","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","dongbi-c","jufo-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5100430645","display_name":"Wenjuan Liu","orcid":"https://orcid.org/0009-0002-1643-4199","observed_orcids":["https://orcid.org/0009-0002-1643-4199"]},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]},{"id":"https://openalex.org/I27462735","display_name":"Yulin Normal University","ror":"https://ror.org/00445hv47","country_code":"CN","type":"education","lineage":["https://openalex.org/I27462735"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjuan Liu","raw_affiliation_strings":["Center for Applied Mathematics of Guangxi, Yulin Normal University, Yulin, Guangxi, 537000, China","Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou, 310023, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Mathematics of Guangxi, Yulin Normal University, Yulin, Guangxi, 537000, China","institution_ids":["https://openalex.org/I27462735"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou, 310023, China","institution_ids":["https://openalex.org/I168879160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100764049","display_name":"Dongming Liu","orcid":"https://orcid.org/0000-0001-6382-3168","observed_orcids":["https://orcid.org/0000-0001-6382-3168"]},"institutions":[{"id":"https://openalex.org/I27462735","display_name":"Yulin Normal University","ror":"https://ror.org/00445hv47","country_code":"CN","type":"education","lineage":["https://openalex.org/I27462735"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongming Liu","raw_affiliation_strings":["Center for Applied Mathematics of Guangxi, Yulin Normal University, Yulin, Guangxi, 537000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Mathematics of Guangxi, Yulin Normal University, Yulin, Guangxi, 537000, China","institution_ids":["https://openalex.org/I27462735"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100764049"],"corresponding_institution_ids":["https://openalex.org/I27462735"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":null,"fwci":0.5047,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53966938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"509","issue":null,"first_page":"109335","last_page":"109335"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.8852999806404114,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.8852999806404114,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.08070000261068344,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.007300000172108412,"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/star-shaped-sets","display_name":"star-shaped sets","score":0.8510000109672546},{"id":"https://openalex.org/keywords/topological-properties","display_name":"topological properties","score":0.8450000286102295},{"id":"https://openalex.org/keywords/separable-hilbert-space","display_name":"separable Hilbert space","score":0.8289999961853027},{"id":"https://openalex.org/keywords/homeomorphism","display_name":"homeomorphism","score":0.8799999952316284}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8651230335235596},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.6381936073303223},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5475413203239441},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47338929772377014},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.47039636969566345},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.43740737438201904},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35303670167922974},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24469774961471558},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15049871802330017},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1146332323551178},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07514244318008423}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.fss.2025.109335","doi":"https://doi.org/10.1016/j.fss.2025.109335","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.fss.2025.109335","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","dongbi-c","jufo-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3212823653","display_name":null,"funder_award_id":"2024KY0596","funder_id":"https://openalex.org/F4320327602","funder_display_name":"Middle-aged and Young Teachers' Basic Ability Promotion Project of Guangxi"},{"id":"https://openalex.org/G5077735061","display_name":null,"funder_award_id":"F701108N06","funder_id":"https://openalex.org/F4320322951","funder_display_name":"Zhejiang University of Science and Technology"},{"id":"https://openalex.org/G7866715950","display_name":null,"funder_award_id":"12401088","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322951","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/03893we55"},{"id":"https://openalex.org/F4320327602","display_name":"Middle-aged and Young Teachers' Basic Ability Promotion Project of Guangxi","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W50839121","https://openalex.org/W303010947","https://openalex.org/W561650046","https://openalex.org/W1525647423","https://openalex.org/W1530088628","https://openalex.org/W1559761527","https://openalex.org/W1964752302","https://openalex.org/W1990426871","https://openalex.org/W1990501514","https://openalex.org/W1997679081","https://openalex.org/W2005314985","https://openalex.org/W2006127887","https://openalex.org/W2027887682","https://openalex.org/W2031747398","https://openalex.org/W2052463029","https://openalex.org/W2057977276","https://openalex.org/W2080013568","https://openalex.org/W2083850685","https://openalex.org/W2088532519","https://openalex.org/W2090191154","https://openalex.org/W2091881098","https://openalex.org/W2092092154","https://openalex.org/W2119167967","https://openalex.org/W2140416655","https://openalex.org/W2169644435","https://openalex.org/W2963343351","https://openalex.org/W2963476579","https://openalex.org/W2990802738","https://openalex.org/W3087559331","https://openalex.org/W3106710290","https://openalex.org/W4220924046","https://openalex.org/W4221018457","https://openalex.org/W4388069024","https://openalex.org/W4393128790","https://openalex.org/W4407836703"],"related_works":["https://openalex.org/W4393128790","https://openalex.org/W2990802738","https://openalex.org/W4407836703","https://openalex.org/W7110597862","https://openalex.org/W2365416574","https://openalex.org/W2370009453","https://openalex.org/W2753188553","https://openalex.org/W2364302577","https://openalex.org/W4220924046","https://openalex.org/W2259929584"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-03-02T00:00:00"}