Intuitionistic fuzzy n-normed algebra and continuous product.

Authors

  • Nabanita Konwar North Eastern Regional Institute of Science and Tec.
  • Pradip Debnath North Eastern Regional Institute of Science and Tec.

Keywords:

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.

Author Biographies

Nabanita Konwar, North Eastern Regional Institute of Science and Tec.

Department of Mathematics.

Pradip Debnath, North Eastern Regional Institute of Science and Tec.

Department of Mathematics.

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Published

2018-03-15

How to Cite

[1]
N. Konwar and P. Debnath, “Intuitionistic fuzzy n-normed algebra and continuous product.”, Proyecciones (Antofagasta, On line), vol. 37, no. 1, pp. 63-83, Mar. 2018.

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Section

Artículos