{"id":"https://openalex.org/W581531176","doi":"https://doi.org/10.3233/ifs-130964","title":"Some results of calculus for functions having values in an intuitionistic fuzzy n-normed linear space","display_name":"Some results of calculus for functions having values in an intuitionistic fuzzy n-normed linear space","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W581531176","doi":"https://doi.org/10.3233/ifs-130964","mag":"581531176"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-130964","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-130964","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/A5075546217","display_name":"Pradip Debnath","orcid":"https://orcid.org/0000-0003-0097-0819"},"institutions":[{"id":"https://openalex.org/I151903974","display_name":"National Institute Of Technology Silchar","ror":"https://ror.org/001ws2a36","country_code":"IN","type":"education","lineage":["https://openalex.org/I151903974"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Pradip Debnath","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Silchar, Silchar, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Silchar, Silchar, India","institution_ids":["https://openalex.org/I151903974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054312789","display_name":"Mausumi Sen","orcid":"https://orcid.org/0000-0002-3278-8985"},"institutions":[{"id":"https://openalex.org/I151903974","display_name":"National Institute Of Technology Silchar","ror":"https://ror.org/001ws2a36","country_code":"IN","type":"education","lineage":["https://openalex.org/I151903974"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mausumi Sen","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Silchar, Silchar, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Silchar, Silchar, India","institution_ids":["https://openalex.org/I151903974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075546217"],"corresponding_institution_ids":["https://openalex.org/I151903974"],"apc_list":null,"apc_paid":null,"fwci":1.8568,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82373366,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"26","issue":"6","first_page":"2983","last_page":"2991"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.993399977684021,"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":0.9679999947547913,"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/mathematics","display_name":"Mathematics","score":0.5714104771614075},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.55833899974823},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4769905209541321},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4622834026813507},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38485798239707947},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3847590684890747},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35096776485443115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2559332847595215},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1317649483680725},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.11689949035644531},{"id":"https://openalex.org/keywords/dentistry","display_name":"Dentistry","score":0.05140259861946106}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5714104771614075},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.55833899974823},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4769905209541321},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4622834026813507},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38485798239707947},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3847590684890747},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35096776485443115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2559332847595215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1317649483680725},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.11689949035644531},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.05140259861946106},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-130964","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-130964","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1496596618","https://openalex.org/W1596940357","https://openalex.org/W1898259180","https://openalex.org/W1972404135","https://openalex.org/W1980564456","https://openalex.org/W1984710642","https://openalex.org/W1991411136","https://openalex.org/W1996486820","https://openalex.org/W1996487486","https://openalex.org/W1999206807","https://openalex.org/W2008230680","https://openalex.org/W2024956689","https://openalex.org/W2032769966","https://openalex.org/W2042796353","https://openalex.org/W2062069905","https://openalex.org/W2063836488","https://openalex.org/W2091021943","https://openalex.org/W2095395818","https://openalex.org/W2276266448","https://openalex.org/W2489872647","https://openalex.org/W2496338429","https://openalex.org/W3142229452"],"related_works":["https://openalex.org/W1973641256","https://openalex.org/W2089274067","https://openalex.org/W56994397","https://openalex.org/W1121942432","https://openalex.org/W2418069309","https://openalex.org/W2376158287","https://openalex.org/W1526165314","https://openalex.org/W2359859943","https://openalex.org/W2591547446","https://openalex.org/W2158584448"],"abstract_inverted_index":{"In":[0],"this":[1],"article":[2],"we":[3],"study":[4],"the":[5,38,43],"topological":[6,40],"structure":[7,41],"of":[8,25,42,49],"an":[9,30,55],"intuitionistic":[10],"fuzzy":[11],"n-normed":[12],"linear":[13],"space":[14],"(IFnNLS).":[15],"We":[16],"establish":[17],"necessary":[18],"and":[19,46,59],"sufficient":[20],"conditions":[21],"for":[22],"a":[23,50],"sequence":[24],"functions":[26],"having":[27,52],"values":[28,53],"in":[29,54],"IFnNLS":[31,56],"to":[32,63],"be":[33],"uniformly":[34],"convergent.":[35],"Further,":[36],"using":[37],"vector":[39],"space,":[44],"derivative":[45],"Riemann":[47],"integration":[48],"function":[51],"are":[57,66],"defined":[58],"basic":[60],"results":[61],"related":[62],"these":[64],"concepts":[65],"studied.":[67]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-02-12T06:13:03.167441","created_date":"2025-10-10T00:00:00"}