Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra

Year 2021, Volume: 10 Issue: 3, 34 - 45, 31.12.2021

Bivas Dinda , Santanu Kumar Ghosh , Tapas Samanta

https://doi.org/10.54187/jnrs.979984

Abstract

In this paper, we deal with the invertible elements in a complete intuitionistic fuzzy pseudo normed algebra (in short, IFPNA) with respect to Archimedean t-norm and Archimedean t-conorm. It is done by studying the continuity of algebraic operations in a complete IFPNA and investigating the condition for existence of inverse of an element in a complete IFPNA. Also some properties of invertible elements are studied. It is observed that the set of invertible elements in a complete IFPNA is an open set.

Keywords

IFPNA, Invertible element, Intuitionistic fuzzy continuity

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