- Journal of New Results in Science
- Vol: 10 Issue: 3
- Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra
Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra
Authors : Bivas Dinda, Santanu Kumar Ghosh, Tapas Samanta
Pages : 34-45
Doi:10.54187/jnrs.979984
View : 11 | Download : 5
Publication Date : 2021-12-31
Article Type : Research
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