{"id":"https://openalex.org/W2945282502","doi":"https://doi.org/10.3390/sym11050671","title":"Analysis of Topological Endomorphism of Fuzzy Measure in Hausdorff Distributed Monoid Spaces","display_name":"Analysis of Topological Endomorphism of Fuzzy Measure in Hausdorff Distributed Monoid Spaces","publication_year":2019,"publication_date":"2019-05-15","ids":{"openalex":"https://openalex.org/W2945282502","doi":"https://doi.org/10.3390/sym11050671","mag":"2945282502"},"language":"en","primary_location":{"id":"doi:10.3390/sym11050671","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11050671","pdf_url":"https://www.mdpi.com/2073-8994/11/5/671/pdf","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/2073-8994/11/5/671/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019277591","display_name":"Susmit Bagchi","orcid":"https://orcid.org/0000-0003-2667-1446"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Susmit Bagchi","raw_affiliation_strings":["Department of Aerospace and Software Engineering (Informatics), Gyeongsang National University, Jinju 660701, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace and Software Engineering (Informatics), Gyeongsang National University, Jinju 660701, Korea","institution_ids":["https://openalex.org/I189442560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019277591"],"corresponding_institution_ids":["https://openalex.org/I189442560"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4116,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67036027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"5","first_page":"671","last_page":"671"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9907000064849854,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9692999720573425,"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/mathematics","display_name":"Mathematics","score":0.7301645278930664},{"id":"https://openalex.org/keywords/endomorphism","display_name":"Endomorphism","score":0.699873149394989},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.6918967366218567},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5653203129768372},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.5464088916778564},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.5443181991577148},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.5417282581329346},{"id":"https://openalex.org/keywords/second-countable-space","display_name":"Second-countable space","score":0.47913357615470886},{"id":"https://openalex.org/keywords/topological-vector-space","display_name":"Topological vector space","score":0.46888989210128784},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2874178886413574},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10229060053825378}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7301645278930664},{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.699873149394989},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.6918967366218567},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5653203129768372},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.5464088916778564},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.5443181991577148},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.5417282581329346},{"id":"https://openalex.org/C162362422","wikidata":"https://www.wikidata.org/wiki/Q1363919","display_name":"Second-countable space","level":3,"score":0.47913357615470886},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.46888989210128784},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2874178886413574},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10229060053825378}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/sym11050671","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11050671","pdf_url":"https://www.mdpi.com/2073-8994/11/5/671/pdf","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:HAL:hal-02133510v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02133510","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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, 2019, 11 (5), pp.671. ⟨10.3390/sym11050671⟩","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:861b08d1c62b4ac88bf65f30a89e2d72","is_oa":true,"landing_page_url":"https://doaj.org/article/861b08d1c62b4ac88bf65f30a89e2d72","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 11, Iss 5, p 671 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/11/5/671/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym11050671","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/sym11050671","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11050671","pdf_url":"https://www.mdpi.com/2073-8994/11/5/671/pdf","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2945282502.pdf","grobid_xml":"https://content.openalex.org/works/W2945282502.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W175423284","https://openalex.org/W1496669989","https://openalex.org/W1500436197","https://openalex.org/W1602868010","https://openalex.org/W1969322138","https://openalex.org/W1979203911","https://openalex.org/W2002541167","https://openalex.org/W2022845231","https://openalex.org/W2023925178","https://openalex.org/W2035917156","https://openalex.org/W2036104856","https://openalex.org/W2037720001","https://openalex.org/W2047954631","https://openalex.org/W2124763914","https://openalex.org/W2171884779","https://openalex.org/W2738894438","https://openalex.org/W2766483835","https://openalex.org/W2773808775","https://openalex.org/W2896672030","https://openalex.org/W2900241937","https://openalex.org/W2906208086","https://openalex.org/W2945282502","https://openalex.org/W2963827096","https://openalex.org/W3102445343"],"related_works":["https://openalex.org/W4311190503","https://openalex.org/W4288099353","https://openalex.org/W3175664114","https://openalex.org/W4299704463","https://openalex.org/W2340772437","https://openalex.org/W4288245503","https://openalex.org/W2144433520","https://openalex.org/W2054302516","https://openalex.org/W1502069907","https://openalex.org/W2087051300"],"abstract_inverted_index":{"The":[0,17,58,71,84,97,114],"concepts":[1],"of":[2,19,36,44,50,73,75,87,117,124,133],"fuzzy":[3,20,52,76,118],"sets":[4],"and":[5,15,47,66,103],"topology":[6],"are":[7,95,128],"widely":[8],"applied":[9],"to":[10,63],"model":[11],"various":[12],"algebraic":[13,85],"structures":[14,86],"computations.":[16],"dynamics":[18],"measures":[21,53,120],"in":[22,33,54,69,78,121,141],"topological":[23,37,45,51,59,80,89,107,119,126],"spaces":[24,81,90],"having":[25,91],"distributed":[26,55,92],"monoid":[27,56],"embeddings":[28],"is":[29,61,82,112,144],"an":[30],"interesting":[31],"topic":[32],"the":[34,42,48,110,122,142],"presence":[35,123],"endomorphism.":[38],"This":[39],"paper":[40],"presents":[41],"analysis":[43,72,132],"endomorphism":[46,108,127],"properties":[49,116],"spaces.":[57],"space":[60],"considered":[62],"be":[64],"Hausdorff":[65],"second":[67],"countable":[68],"nature.":[70],"consistency":[74],"measure":[77],"endomorphic":[79,88],"formulated.":[83,113],"cyclic":[93,98,106,125],"monoids":[94,99],"constructed.":[96],"contain":[100],"specific":[101],"generators,":[102],"a":[104],"related":[105,139],"within":[109],"subspace":[111],"analytical":[115],"presented.":[129],"A":[130],"comparative":[131],"this":[134],"proposed":[135],"work":[136,140],"with":[137],"other":[138],"domain":[143],"included.":[145]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}