Lowen type multi-fuzzy topological spaces

TL;DR

This paper introduces Lowen type multi-fuzzy topological spaces, characterizes their topology via neighborhood systems, and explores properties like second countability and compactness in product spaces.

Contribution

It defines Lowen type multi-fuzzy topological spaces and studies their properties, including product spaces and key topological features.

Findings

Characterization of topology by neighborhood systems

Second countability is finitely productive

Compactness is finitely productive in multi-fuzzy spaces

Abstract

In this paper Lowen type multi-fuzzy topological space has been introduced and characterization of topology by its nbd system is studied. Also the product multi-fuzzy topological space has been introduced and it has been investigated that 2nd countability and compactness are finitely productive in multi-fuzzy topological spaces.