{"id":"https://openalex.org/W3112927785","doi":"https://doi.org/10.3233/jifs-201539","title":"Applications of statistical convergence of order (\u03b7, \u03b4\u00a0+\u00a0\u03b3) in difference sequence spaces of fuzzy numbers","display_name":"Applications of statistical convergence of order (\u03b7, \u03b4\u00a0+\u00a0\u03b3) in difference sequence spaces of fuzzy numbers","publication_year":2020,"publication_date":"2020-12-08","ids":{"openalex":"https://openalex.org/W3112927785","doi":"https://doi.org/10.3233/jifs-201539","mag":"3112927785"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-201539","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-201539","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/A5006730357","display_name":"Swati Jasrotia","orcid":"https://orcid.org/0000-0002-8141-2108"},"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":"Swati Jasrotia","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":1.2827,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.8262267,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"40","issue":"3","first_page":"4695","last_page":"4703"},"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":0.9728999733924866,"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":0.965499997138977,"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":0.7962371110916138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7499049305915833},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.697775661945343},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6753199696540833},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6409703493118286},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6105895042419434},{"id":"https://openalex.org/keywords/limit-of-a-sequence","display_name":"Limit of a sequence","score":0.6070106625556946},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4301459491252899},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4183483123779297},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3764494061470032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17362824082374573},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16282102465629578},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.11122623085975647}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7962371110916138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7499049305915833},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.697775661945343},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6753199696540833},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6409703493118286},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6105895042419434},{"id":"https://openalex.org/C71287196","wikidata":"https://www.wikidata.org/wiki/Q847204","display_name":"Limit of a sequence","level":3,"score":0.6070106625556946},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4301459491252899},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4183483123779297},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3764494061470032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17362824082374573},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16282102465629578},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.11122623085975647},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-201539","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-201539","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1521816230","https://openalex.org/W1772464684","https://openalex.org/W1965477947","https://openalex.org/W1996283297","https://openalex.org/W1997631526","https://openalex.org/W2013417878","https://openalex.org/W2032397721","https://openalex.org/W2035325179","https://openalex.org/W2038137226","https://openalex.org/W2041701747","https://openalex.org/W2069251202","https://openalex.org/W2094043756","https://openalex.org/W2096356160","https://openalex.org/W2150080768","https://openalex.org/W2159079004","https://openalex.org/W2162401762","https://openalex.org/W2177759572","https://openalex.org/W2269531303","https://openalex.org/W2271047657","https://openalex.org/W2294516013","https://openalex.org/W2300479239","https://openalex.org/W2313013207","https://openalex.org/W2318423024","https://openalex.org/W2336888920","https://openalex.org/W2529744011","https://openalex.org/W2599659463","https://openalex.org/W2800664595","https://openalex.org/W2811136258","https://openalex.org/W2828272086","https://openalex.org/W2897327531","https://openalex.org/W2911125580","https://openalex.org/W2913320875","https://openalex.org/W2926681823","https://openalex.org/W2953246905","https://openalex.org/W2957087088","https://openalex.org/W2989841086","https://openalex.org/W3017631390","https://openalex.org/W3096038779","https://openalex.org/W3098177060","https://openalex.org/W4211007335","https://openalex.org/W6683133119","https://openalex.org/W6693804238","https://openalex.org/W6758898699","https://openalex.org/W6765479125","https://openalex.org/W6767101549"],"related_works":["https://openalex.org/W25637881","https://openalex.org/W2365810621","https://openalex.org/W2384469913","https://openalex.org/W4384407201","https://openalex.org/W2352824724","https://openalex.org/W2609105931","https://openalex.org/W1558704946","https://openalex.org/W1998707102","https://openalex.org/W4226305833","https://openalex.org/W2355744011"],"abstract_inverted_index":{"In":[0,111],"this":[1,57],"article,":[2],"we":[3,67,117],"introduce":[4],"and":[5,56,83,95,130],"study":[6],"some":[7,97],"difference":[8],"sequence":[9,124],"spaces":[10],"of":[11,17,20,30,39,77,89,105,125,133,152],"fuzzy":[12,126],"numbers":[13,127],"by":[14],"making":[15],"use":[16],"\u03bb-statistical":[18],"convergence":[19,38,58,76],"order":[21,40,78,90,134,153],"(\u03b7,":[22,41,79,91,135,154],"\u03b4":[23,42,80,92,136,155],"+":[24,43,52,62,81,93,137,156],"\u03b3)":[25,44,53,63,82,94,138],".":[26],"With":[27],"the":[28,36,103,114],"aid":[29],"MATLAB":[31],"software,":[32],"it":[33,143],"appears":[34],"that":[35,102,121],"statistical":[37],"is":[45,108,128],"well":[46],"defined":[47],"every":[48],"time":[49],"when":[50,60],"(\u03b4":[51,61],">":[54],"\u03b7":[55],"fails":[59],"<":[64],"\u03b7.":[65],"Moreover,":[66],"try":[68],"to":[69,100,113],"set":[70],"up":[71],"relations":[72,107],"between":[73],"(\u0394v,":[74,85,140,148],"\u03bb)-statistical":[75],"strongly":[84,147],"p,":[86,149],"\u03bb)-Ces\u00e0ro":[87,150],"summability":[88],"give":[96],"compelling":[98],"instances":[99],"show":[101],"converse":[104],"these":[106],"not":[109,145],"valid.":[110],"addition":[112],"above":[115],"results,":[116],"also":[118],"graphically":[119],"exhibits":[120],"if":[122],"a":[123],"bounded":[129],"statistically":[131],"convergent":[132],"in":[139],"\u03bb),":[141],"then":[142],"need":[144],"be":[146],"summable":[151],"\u03b3).":[157]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}