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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Universidad Católica del Norte, Departamento de Matemáticas
2018
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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 |
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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 |
_version_ |
1718439831870111744 |