Relations on continuities and boundedness in intuitionistic fuzzy pseudo normed linear spaces

TL;DR

This paper explores various types of continuity and boundedness within intuitionistic fuzzy pseudo normed linear spaces, analyzing their interrelations and properties to deepen understanding of fuzzy functional analysis.

Contribution

It introduces and studies different forms of intuitionistic fuzzy continuity and boundedness, along with their relations, in the context of pseudo normed linear spaces, which is a novel extension.

Findings

Different types of intuitionistic fuzzy continuities are characterized.

Relations between fuzzy continuity and boundedness are established.

New properties of intuitionistic fuzzy pseudo normed linear spaces are identified.

Abstract

In this study different types of intuitionistic fuzzy continuities (IFCs) and intuitionistic fuzzy boundedness (IFBs) in intuitionistic fuzzy pseudo normed linear spaces are studied. Relations (intra and inter) on intuitionistic fuzzy continuities and intuitionistic fuzzy boundedness are investigated.