{"id":"https://openalex.org/W4226432227","doi":"https://doi.org/10.3390/axioms11040159","title":"Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces","display_name":"Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces","publication_year":2022,"publication_date":"2022-04-01","ids":{"openalex":"https://openalex.org/W4226432227","doi":"https://doi.org/10.3390/axioms11040159"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11040159","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11040159","pdf_url":"https://www.mdpi.com/2075-1680/11/4/159/pdf?version=1648792155","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/4/159/pdf?version=1648792155","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046716187","display_name":"Banu Pazar Varol","orcid":"https://orcid.org/0000-0002-8627-7910"},"institutions":[{"id":"https://openalex.org/I51826884","display_name":"Kocaeli \u00dcniversitesi","ror":"https://ror.org/0411seq30","country_code":"TR","type":"education","lineage":["https://openalex.org/I51826884"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Banu Pazar Varol","raw_affiliation_strings":["Department of Mathematics, Kocaeli University, 41001 \u0130zmit, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kocaeli University, 41001 \u0130zmit, Turkey","institution_ids":["https://openalex.org/I51826884"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046716187"],"corresponding_institution_ids":["https://openalex.org/I51826884"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.9978,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85501701,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"11","issue":"4","first_page":"159","last_page":"159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9898999929428101,"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":0.9828000068664551,"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/cauchy-sequence","display_name":"Cauchy sequence","score":0.826225996017456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7764700651168823},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.7045060992240906},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.610988974571228},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5837721228599548},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.576130747795105},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4840209186077118},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4297768771648407},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37950506806373596},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17874956130981445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16829368472099304},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1658482551574707}],"concepts":[{"id":"https://openalex.org/C203192437","wikidata":"https://www.wikidata.org/wiki/Q217847","display_name":"Cauchy sequence","level":2,"score":0.826225996017456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7764700651168823},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.7045060992240906},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.610988974571228},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5837721228599548},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.576130747795105},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4840209186077118},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4297768771648407},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37950506806373596},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17874956130981445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16829368472099304},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1658482551574707},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/axioms11040159","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11040159","pdf_url":"https://www.mdpi.com/2075-1680/11/4/159/pdf?version=1648792155","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:3855caf7-3e6b-4702-a3bd-6a50b864e19b","is_oa":true,"landing_page_url":"https://avesis.kocaeli.edu.tr/publication/details/3855caf7-3e6b-4702-a3bd-6a50b864e19b/oai","pdf_url":"https://avesis.kocaeli.edu.tr/publication/details/3855caf7-3e6b-4702-a3bd-6a50b864e19b/oai/document.pdf","source":{"id":"https://openalex.org/S7407055291","display_name":"Kocaeli \u00dcniversitesi - AVES\u0130S","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:23739058a001435ea7e8aa20a3190ca1","is_oa":true,"landing_page_url":"https://doaj.org/article/23739058a001435ea7e8aa20a3190ca1","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":"Axioms, Vol 11, Iss 4, p 159 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/4/159/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11040159","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":"Axioms; Volume 11; Issue 4; Pages: 159","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11040159","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11040159","pdf_url":"https://www.mdpi.com/2075-1680/11/4/159/pdf?version=1648792155","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6200000047683716,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226432227.pdf","grobid_xml":"https://content.openalex.org/works/W4226432227.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1963660290","https://openalex.org/W1968172834","https://openalex.org/W1980564456","https://openalex.org/W1984710642","https://openalex.org/W1987761358","https://openalex.org/W2011977682","https://openalex.org/W2020003861","https://openalex.org/W2053231095","https://openalex.org/W2054415892","https://openalex.org/W2058969086","https://openalex.org/W2067031416","https://openalex.org/W2150080768","https://openalex.org/W2185831068","https://openalex.org/W2313013207","https://openalex.org/W2791092409","https://openalex.org/W2888662035","https://openalex.org/W2923992724","https://openalex.org/W3045923605","https://openalex.org/W4211007335","https://openalex.org/W4404697932"],"related_works":["https://openalex.org/W2388576675","https://openalex.org/W4300026093","https://openalex.org/W3153915925","https://openalex.org/W2880124108","https://openalex.org/W2777239422","https://openalex.org/W2003281566","https://openalex.org/W2071403187","https://openalex.org/W2995693655","https://openalex.org/W4297851895","https://openalex.org/W2992892834"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,34],"introduce":[4],"the":[5,17,24],"concepts":[6],"of":[7,26],"statistical":[8,11,27],"convergence":[9,28],"and":[10,42],"Cauchy":[12,44],"sequences":[13,41],"with":[14],"respect":[15],"to":[16],"intuitionistic":[18],"fuzzy":[19,30],"metric":[20,31],"spaces":[21],"inspired":[22],"by":[23],"idea":[25],"in":[29],"spaces.":[32],"Then,":[33],"give":[35],"useful":[36],"characterizations":[37],"for":[38],"statistically":[39,43],"convergent":[40],"sequences.":[45]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}
