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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Bibliographic Details
Main Authors: Konwar,Nabanita, Debnath,Pradip
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2018
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100068
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Summary: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.