{"id":"https://openalex.org/W4210406433","doi":"https://doi.org/10.3390/sym14020330","title":"Uncertain Hypergraphs: A Conceptual Framework and Some Topological Characteristics Indexes","display_name":"Uncertain Hypergraphs: A Conceptual Framework and Some Topological Characteristics Indexes","publication_year":2022,"publication_date":"2022-02-05","ids":{"openalex":"https://openalex.org/W4210406433","doi":"https://doi.org/10.3390/sym14020330"},"language":"en","primary_location":{"id":"doi:10.3390/sym14020330","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14020330","pdf_url":"https://www.mdpi.com/2073-8994/14/2/330/pdf?version=1644726539","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/2/330/pdf?version=1644726539","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089083556","display_name":"Jin Peng","orcid":"https://orcid.org/0000-0001-7354-5034"},"institutions":[{"id":"https://openalex.org/I10011244","display_name":"Huanggang Normal University","ror":"https://ror.org/007gf6e19","country_code":"CN","type":"education","lineage":["https://openalex.org/I10011244"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Peng","raw_affiliation_strings":["School of Mathematics and Statistics, Institute of Uncertain Systems, Huanggang Normal University, Huanggang 438000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Institute of Uncertain Systems, Huanggang Normal University, Huanggang 438000, China","institution_ids":["https://openalex.org/I10011244"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100335186","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0001-6840-0981"},"institutions":[{"id":"https://openalex.org/I158934434","display_name":"Zhongnan University of Economics and Law","ror":"https://ror.org/04yqxxq63","country_code":"CN","type":"education","lineage":["https://openalex.org/I158934434"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bo Zhang","raw_affiliation_strings":["School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China"],"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China","institution_ids":["https://openalex.org/I158934434"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067576530","display_name":"Kiki Ariyanti Sugeng","orcid":"https://orcid.org/0000-0001-9730-1405"},"institutions":[{"id":"https://openalex.org/I29617571","display_name":"University of Indonesia","ror":"https://ror.org/0116zj450","country_code":"ID","type":"education","lineage":["https://openalex.org/I29617571"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Kiki Ariyanti Sugeng","raw_affiliation_strings":["Faculty of Mathematics and Science, University of Indonesia, Depok 16424, Indonesia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Science, University of Indonesia, Depok 16424, Indonesia","institution_ids":["https://openalex.org/I29617571"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100335186"],"corresponding_institution_ids":["https://openalex.org/I158934434"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.9713,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86647727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"2","first_page":"330","last_page":"330"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9993000030517578,"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":0.9993000030517578,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9926999807357788,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9854000210762024,"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/hypergraph","display_name":"Hypergraph","score":0.9319789409637451},{"id":"https://openalex.org/keywords/indeterminacy","display_name":"Indeterminacy (philosophy)","score":0.6521756649017334},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5922852754592896},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5659749507904053},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.48070985078811646},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.461601197719574},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45275402069091797},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36033186316490173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3398008942604065},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20930424332618713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15285053849220276},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10890069603919983},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.09090137481689453},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07325136661529541}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.9319789409637451},{"id":"https://openalex.org/C2777366796","wikidata":"https://www.wikidata.org/wiki/Q6017758","display_name":"Indeterminacy (philosophy)","level":2,"score":0.6521756649017334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5922852754592896},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5659749507904053},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.48070985078811646},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.461601197719574},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45275402069091797},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36033186316490173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3398008942604065},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20930424332618713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15285053849220276},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10890069603919983},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.09090137481689453},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07325136661529541},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14020330","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14020330","pdf_url":"https://www.mdpi.com/2073-8994/14/2/330/pdf?version=1644726539","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6940f42e4c9d42e9824efede9583de50","is_oa":true,"landing_page_url":"https://doaj.org/article/6940f42e4c9d42e9824efede9583de50","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 2, p 330 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/2/330/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14020330","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14020330","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14020330","pdf_url":"https://www.mdpi.com/2073-8994/14/2/330/pdf?version=1644726539","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G3777311728","display_name":null,"funder_award_id":"61873108, 61703438, 72071092","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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4210406433.pdf","grobid_xml":"https://content.openalex.org/works/W4210406433.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1547322272","https://openalex.org/W1980097246","https://openalex.org/W2046903046","https://openalex.org/W2093905688","https://openalex.org/W2101016216","https://openalex.org/W2101923157","https://openalex.org/W2146162554","https://openalex.org/W2151376743","https://openalex.org/W2195176792","https://openalex.org/W2344982844","https://openalex.org/W2769651398","https://openalex.org/W2799844489","https://openalex.org/W2937284973","https://openalex.org/W2949760713","https://openalex.org/W2983194979","https://openalex.org/W2999294740","https://openalex.org/W3003482450","https://openalex.org/W3011522481","https://openalex.org/W3093109073","https://openalex.org/W3106274947","https://openalex.org/W3130428305","https://openalex.org/W3166438828","https://openalex.org/W4206255050","https://openalex.org/W4211007335","https://openalex.org/W4236577982","https://openalex.org/W4252973173","https://openalex.org/W6645379858","https://openalex.org/W6682597882","https://openalex.org/W6750774022"],"related_works":["https://openalex.org/W4376608589","https://openalex.org/W1537073411","https://openalex.org/W1948107826","https://openalex.org/W3138003926","https://openalex.org/W1630514295","https://openalex.org/W4300037846","https://openalex.org/W4312320919","https://openalex.org/W4288275998","https://openalex.org/W2963081352","https://openalex.org/W4376608938"],"abstract_inverted_index":{"In":[0],"practical":[1],"applications":[2],"of":[3,13,30,53,68,77,85,98,101],"hypergraph":[4,33,36],"theory,":[5],"we":[6],"are":[7,92,109],"usually":[8],"surrounded":[9],"by":[10,34],"the":[11,28,83,96,99],"state":[12],"indeterminacy.":[14],"This":[15],"paper":[16,70],"employs":[17],"uncertainty":[18,39],"theory":[19,37,40],"to":[20,43,48,58,72,81,94],"address":[21],"indeterministic":[22],"information.":[23],"We":[24],"initially":[25],"put":[26],"forward":[27],"idea":[29],"an":[31],"uncertain":[32,54,78,86,102],"combining":[35],"with":[38,50],"in":[41],"order":[42],"provide":[44],"a":[45,51,60,74],"useful":[46],"tool":[47],"deal":[49],"variety":[52],"complex":[55],"systems":[56],"and":[57,80],"create":[59],"new":[61],"interdisciplinary":[62],"research":[63,107],"field.":[64],"The":[65],"main":[66],"focus":[67],"this":[69],"is":[71],"propose":[73],"conceptual":[75],"framework":[76],"hypergraphs":[79],"study":[82],"operations":[84],"hypergraphs.":[87],"Moreover,":[88],"some":[89,105],"topological":[90],"indexes":[91],"proposed":[93],"describe":[95],"characteristics":[97],"structures":[100],"hypergraph.":[103],"Additionally,":[104],"further":[106],"directions":[108],"discussed.":[110]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
