Intuitionistic fuzzy n -normed algebra and continuous product

Abstract: In this paper we extend the notion of intuitionistic fuzzy 𝘯-normed linear space (IFnNLS) to define an intuitionistic fuzzy n-normed algebra (IFnNA). We give a necessary and sufficient condition for an IFnNA to be with continuous product. Further, the concept of multiplicativel...

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Autores principales: Konwar,Nabanita, Debnath,Pradip
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2018
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100068
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spelling oai:scielo:S0716-091720180001000682018-03-13Intuitionistic fuzzy n -normed algebra and continuous productKonwar,NabanitaDebnath,Pradip Intuitionistic fuzzy n-normed linear space intuitionistic fuzzy continuous mapping intuitionistic fuzzy continuous linear operator. Abstract: In this paper we extend the notion of intuitionistic fuzzy 𝘯-normed linear space (IFnNLS) to define an intuitionistic fuzzy n-normed algebra (IFnNA). We give a necessary and sufficient condition for an IFnNA to be with continuous product. Further, the concept of multiplicatively continuous product has been introduced and related results have been established. Illustrative examples have been provided in support of our results.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.1 20182018-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100068en10.4067/S0716-09172018000100068
institution Scielo Chile
collection Scielo Chile
language English
topic Intuitionistic fuzzy n-normed linear space
intuitionistic fuzzy continuous mapping
intuitionistic fuzzy continuous linear operator.
spellingShingle Intuitionistic fuzzy n-normed linear space
intuitionistic fuzzy continuous mapping
intuitionistic fuzzy continuous linear operator.
Konwar,Nabanita
Debnath,Pradip
Intuitionistic fuzzy n -normed algebra and continuous product
description Abstract: In this paper we extend the notion of intuitionistic fuzzy 𝘯-normed linear space (IFnNLS) to define an intuitionistic fuzzy n-normed algebra (IFnNA). We give a necessary and sufficient condition for an IFnNA to be with continuous product. Further, the concept of multiplicatively continuous product has been introduced and related results have been established. Illustrative examples have been provided in support of our results.
author Konwar,Nabanita
Debnath,Pradip
author_facet Konwar,Nabanita
Debnath,Pradip
author_sort Konwar,Nabanita
title Intuitionistic fuzzy n -normed algebra and continuous product
title_short Intuitionistic fuzzy n -normed algebra and continuous product
title_full Intuitionistic fuzzy n -normed algebra and continuous product
title_fullStr Intuitionistic fuzzy n -normed algebra and continuous product
title_full_unstemmed Intuitionistic fuzzy n -normed algebra and continuous product
title_sort intuitionistic fuzzy n -normed algebra and continuous product
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2018
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100068
work_keys_str_mv AT konwarnabanita intuitionisticfuzzynnormedalgebraandcontinuousproduct
AT debnathpradip intuitionisticfuzzynnormedalgebraandcontinuousproduct
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