Motivations and basic of fuzzy, intuitionistic fuzzy and neutrosophic sets and norms

Abstract

The proposed article mainly comprises of ideas and motivations that led to the generalization of the usual or the crisp sets. Moving forward we intend to look into how the definitions were modified to suit the meaning of the existing definitions and establish link between them, that is to say that we, after giving formal definitions of the aforementioned sets and norms on these new sets would draw parallel between them and the usual sets and the norm. We will then study some riveting algebraic properties of the same.

Keywords

• fuzzy set
• fuzzy norm
• fuzzy metric
• statistical metric space
• intuitionistic fuzzy set
• intuitionisitic fuzzy norm
• intuitionisitic fuzzy metric
• neutrosophic set
• neutrosophic norm