{"id":"https://openalex.org/W2886479054","doi":"https://doi.org/10.1155/2018/8636121","title":"Duals and Matrix Classes Involving Ces\u00e0ro Type Classes of Sequences of Fuzzy Numbers","display_name":"Duals and Matrix Classes Involving Ces\u00e0ro Type Classes of Sequences of Fuzzy Numbers","publication_year":2018,"publication_date":"2018-08-08","ids":{"openalex":"https://openalex.org/W2886479054","doi":"https://doi.org/10.1155/2018/8636121","mag":"2886479054"},"language":"en","primary_location":{"id":"doi:10.1155/2018/8636121","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8636121","pdf_url":"https://downloads.hindawi.com/journals/afs/2018/8636121.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/afs/2018/8636121.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031055852","display_name":"Hemen Dutta","orcid":"https://orcid.org/0000-0003-2765-2386"},"institutions":[{"id":"https://openalex.org/I138537684","display_name":"Gauhati University","ror":"https://ror.org/01ppj9r51","country_code":"IN","type":"education","lineage":["https://openalex.org/I138537684"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Hemen Dutta","raw_affiliation_strings":["Department of Mathematics, Gauhati University, Guwahati 781014, India"],"raw_orcid":"https://orcid.org/0000-0003-2765-2386","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Gauhati University, Guwahati 781014, India","institution_ids":["https://openalex.org/I138537684"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008828828","display_name":"Jyotishmaan Gogoi","orcid":"https://orcid.org/0000-0002-7721-7668"},"institutions":[{"id":"https://openalex.org/I138537684","display_name":"Gauhati University","ror":"https://ror.org/01ppj9r51","country_code":"IN","type":"education","lineage":["https://openalex.org/I138537684"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jyotishmaan Gogoi","raw_affiliation_strings":["Department of Mathematics, Gauhati University, Guwahati 781014, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Gauhati University, Guwahati 781014, India","institution_ids":["https://openalex.org/I138537684"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031055852"],"corresponding_institution_ids":["https://openalex.org/I138537684"],"apc_list":{"value":925,"currency":"USD","value_usd":925},"apc_paid":{"value":925,"currency":"USD","value_usd":925},"fwci":0.4218,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6371061,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"2018","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9997000098228455,"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":0.9997000098228455,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9994999766349792,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.732420802116394},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.6546088457107544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6331513524055481},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6070911884307861},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.57156902551651},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5408229827880859},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5117728114128113},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4272366166114807},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.42635005712509155},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.41446948051452637},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3416121304035187},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3222843408584595},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29830509424209595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21741440892219543},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12636208534240723},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06937730312347412}],"concepts":[{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.732420802116394},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.6546088457107544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6331513524055481},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6070911884307861},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.57156902551651},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5408229827880859},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5117728114128113},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4272366166114807},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.42635005712509155},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.41446948051452637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3416121304035187},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3222843408584595},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29830509424209595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21741440892219543},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12636208534240723},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06937730312347412},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","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},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2018/8636121","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8636121","pdf_url":"https://downloads.hindawi.com/journals/afs/2018/8636121.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e629f1740ce84a78944db0c5459ad1a9","is_oa":true,"landing_page_url":"https://doaj.org/article/e629f1740ce84a78944db0c5459ad1a9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Fuzzy Systems, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/8636121","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8636121","pdf_url":"https://downloads.hindawi.com/journals/afs/2018/8636121.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G7275069715","display_name":null,"funder_award_id":"F./2015-16/NFO-2015-17-OBC-ASS-36722/(SA-III/Website)","funder_id":"https://openalex.org/F4320320767","funder_display_name":"University Grants Commission"}],"funders":[{"id":"https://openalex.org/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2886479054.pdf","grobid_xml":"https://content.openalex.org/works/W2886479054.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1501529549","https://openalex.org/W1558413398","https://openalex.org/W1965477947","https://openalex.org/W1994178762","https://openalex.org/W2024130243","https://openalex.org/W2024777545","https://openalex.org/W2026093306","https://openalex.org/W2054823319","https://openalex.org/W2061177395","https://openalex.org/W2069069851","https://openalex.org/W2073212482","https://openalex.org/W2093827652","https://openalex.org/W2094162958","https://openalex.org/W2096290936","https://openalex.org/W2159079004","https://openalex.org/W2299931474","https://openalex.org/W2317659310","https://openalex.org/W2950370140","https://openalex.org/W3102765963","https://openalex.org/W4211007335","https://openalex.org/W4248651235"],"related_works":["https://openalex.org/W2389462125","https://openalex.org/W2091997962","https://openalex.org/W151496359","https://openalex.org/W1969863203","https://openalex.org/W4220662591","https://openalex.org/W856465872","https://openalex.org/W1987843132","https://openalex.org/W2760715419","https://openalex.org/W1984009044","https://openalex.org/W1973218919"],"abstract_inverted_index":{"We":[0],"first":[1],"define":[2],"Ces\u00e0ro":[3],"type":[4],"classes":[5,30,33],"of":[6,8,34,36],"sequences":[7,35],"fuzzy":[9,37],"numbers":[10],"and":[11,25],"equip":[12],"the":[13,22],"set":[14],"with":[15],"a":[16],"complete":[17],"metric.":[18],"Then":[19],"we":[20],"compute":[21],"K\u00f6the-Toeplitz":[23],"dual":[24],"characterize":[26],"some":[27],"related":[28],"matrix":[29],"involving":[31],"such":[32],"numbers.":[38]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
