{"id":"https://openalex.org/W3204880599","doi":"https://doi.org/10.3233/jifs-211201","title":"Applications of deferred Ces\u00e0ro statistical convergence of sequences of fuzzy numbers of order (\u03be, \u03c9)","display_name":"Applications of deferred Ces\u00e0ro statistical convergence of sequences of fuzzy numbers of order (\u03be, \u03c9)","publication_year":2021,"publication_date":"2021-10-07","ids":{"openalex":"https://openalex.org/W3204880599","doi":"https://doi.org/10.3233/jifs-211201","mag":"3204880599"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-211201","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-211201","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"},"type":"article","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/A5045571317","display_name":"Sonali Sharma","orcid":"https://orcid.org/0000-0002-6879-9950"},"institutions":[{"id":"https://openalex.org/I59179055","display_name":"Shri Mata Vaishno Devi University","ror":"https://ror.org/036x6w630","country_code":"IN","type":"education","lineage":["https://openalex.org/I59179055"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sonali Sharma","raw_affiliation_strings":["School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India","institution_ids":["https://openalex.org/I59179055"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080164556","display_name":"Uday Pratap Singh","orcid":"https://orcid.org/0000-0003-2077-0793"},"institutions":[{"id":"https://openalex.org/I59179055","display_name":"Shri Mata Vaishno Devi University","ror":"https://ror.org/036x6w630","country_code":"IN","type":"education","lineage":["https://openalex.org/I59179055"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Uday Pratap Singh","raw_affiliation_strings":["School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India","institution_ids":["https://openalex.org/I59179055"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036671493","display_name":"Kuldip Raj","orcid":"https://orcid.org/0000-0002-2611-3391"},"institutions":[{"id":"https://openalex.org/I59179055","display_name":"Shri Mata Vaishno Devi University","ror":"https://ror.org/036x6w630","country_code":"IN","type":"education","lineage":["https://openalex.org/I59179055"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Kuldip Raj","raw_affiliation_strings":["School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India","institution_ids":["https://openalex.org/I59179055"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036671493"],"corresponding_institution_ids":["https://openalex.org/I59179055"],"apc_list":null,"apc_paid":null,"fwci":0.6752,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73030714,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"41","issue":"6","first_page":"7363","last_page":"7372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":1.0,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":1.0,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9753000140190125,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9628999829292297,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7806236743927002},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6445022225379944},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6436944007873535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6423279643058777},{"id":"https://openalex.org/keywords/limit-of-a-sequence","display_name":"Limit of a sequence","score":0.6377665400505066},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5776479840278625},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5263915061950684},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47000107169151306},{"id":"https://openalex.org/keywords/statistical-software","display_name":"Statistical software","score":0.462024062871933},{"id":"https://openalex.org/keywords/real-number","display_name":"Real number","score":0.4131661355495453},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3831937909126282},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36157718300819397},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28988027572631836},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1881450116634369},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1215047538280487},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08915016055107117}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7806236743927002},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6445022225379944},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6436944007873535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6423279643058777},{"id":"https://openalex.org/C71287196","wikidata":"https://www.wikidata.org/wiki/Q847204","display_name":"Limit of a sequence","level":3,"score":0.6377665400505066},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5776479840278625},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5263915061950684},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47000107169151306},{"id":"https://openalex.org/C2987757206","wikidata":"https://www.wikidata.org/wiki/Q494735","display_name":"Statistical software","level":2,"score":0.462024062871933},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.4131661355495453},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3831937909126282},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36157718300819397},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28988027572631836},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1881450116634369},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1215047538280487},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08915016055107117},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-211201","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-211201","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W150940170","https://openalex.org/W1495947196","https://openalex.org/W1497690654","https://openalex.org/W1521816230","https://openalex.org/W1539440348","https://openalex.org/W1996283297","https://openalex.org/W2013417878","https://openalex.org/W2013670181","https://openalex.org/W2029499070","https://openalex.org/W2041701747","https://openalex.org/W2057652004","https://openalex.org/W2094043756","https://openalex.org/W2150080768","https://openalex.org/W2159079004","https://openalex.org/W2162401762","https://openalex.org/W2271047657","https://openalex.org/W2300479239","https://openalex.org/W2313013207","https://openalex.org/W2318423024","https://openalex.org/W2325119673","https://openalex.org/W2477348392","https://openalex.org/W2494425735","https://openalex.org/W2509230036","https://openalex.org/W2512184923","https://openalex.org/W2537373516","https://openalex.org/W2592017665","https://openalex.org/W2889310533","https://openalex.org/W2897327531","https://openalex.org/W2927665005","https://openalex.org/W2939899861","https://openalex.org/W2941059112","https://openalex.org/W2942690213","https://openalex.org/W2969702483","https://openalex.org/W3004522638","https://openalex.org/W3112927785","https://openalex.org/W3165786050","https://openalex.org/W4211007335","https://openalex.org/W4226180143","https://openalex.org/W4241292674","https://openalex.org/W4251987985","https://openalex.org/W6632450606","https://openalex.org/W6725767737"],"related_works":["https://openalex.org/W2359588980","https://openalex.org/W366900306","https://openalex.org/W4387464759","https://openalex.org/W1996493790","https://openalex.org/W4297022878","https://openalex.org/W4250415690","https://openalex.org/W2475822604","https://openalex.org/W19710479","https://openalex.org/W2354973579","https://openalex.org/W1026415424"],"abstract_inverted_index":{"The":[0,30],"purpose":[1],"of":[2,12,24,27,37,79,86,94,103,113,130],"this":[3],"article":[4],"is":[5,51,106],"to":[6],"study":[7,31],"deferred":[8,109],"Cesr\u00e0o":[9],"statistical":[10,35,111],"convergence":[11,36,50],"order":[13,114,131],"(\u03be,":[14,115,132],"\u03c9)":[15,116,133],"associated":[16],"with":[17,91],"a":[18],"modulus":[19],"function":[20],"involving":[21],"the":[22,34,77,80,84,92,101],"concept":[23],"difference":[25],"sequences":[26],"fuzzy":[28,104],"numbers.":[29],"reveals":[32],"that":[33,99],"these":[38],"newly":[39],"formed":[40],"sequence":[41,88,102],"spaces":[42],"behave":[43],"well":[44],"for":[45,54,136],"\u03be":[46,55,139],"\u2264":[47,140,142],"\u03c9":[48,141],"and":[49,64,83,108],"not":[52,124],"possible":[53],">":[56],"\u03c9.":[57],"We":[58],"also":[59],"define":[60],"p-deferred":[61,127],"Ces\u00e0ro":[62,110,128],"summability":[63],"establish":[65],"several":[66],"interesting":[67],"results.":[68],"In":[69],"addition,":[70],"we":[71,97],"provide":[72],"some":[73],"examples":[74],"which":[75],"explain":[76],"validity":[78],"theoretical":[81],"results":[82],"effectiveness":[85],"constructed":[87],"spaces.":[89],"Finally,":[90],"help":[93],"MATLAB":[95],"software,":[96],"examine":[98],"if":[100],"numbers":[105],"bounded":[107],"convergent":[112],"in":[117,134],"(\u0394,":[118],"F,":[119],"f),":[120],"then":[121],"it":[122],"need":[123],"be":[125],"strongly":[126],"summable":[129],"general":[135],"0":[137],"<":[138],"1.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}