Mathematics

THE CATEGORY OF INTUITIONISTIC FUZZY TOPOLOGICAL SPACES

Seok-Jong Lee, Eun-Pyo Lee

2000Bulletin of the Korean Mathematical Society

tlooto Summary

This paper investigates the properties of continuous, open and closed maps in the intuitionistic fuzzy topological spaces, and shows that the category of Chang's fuzzyTopological spaces is a bireflective full subcategory of that of intuitionistic fuzzier spaces.

Abstract

In this paper, we introduce the concept of intuitionistic fuzzy points and intuitionistic fuzzy neighborhoods. We investigate the properties of continuous, open and closed maps in the intuitionistic fuzzy topological spaces, and show that the category of Chang's fuzzy topological spaces is a bireflective full subcategory of that of intuitionistic fuzzy topological spaces.

Citation format

LEE, Seok-Jong; LEE, Eun-Pyo. THE CATEGORY OF INTUITIONISTIC FUZZY TOPOLOGICAL SPACES. Bulletin of the Korean Mathematical Society, 2000, 37: 63–76.