Article ID Journal Published Year Pages File Type
391463 Fuzzy Sets and Systems 2006 13 Pages PDF
Abstract

In this paper, we introduce the concepts of first countability, second countability, density, separability, and Lindelöf property for I-fuzzy topological spaces, and study their properties and the relationships between them. Furthermore, we give the Lindelöf theorem in I-fuzzy topological spaces and describe fuzzy continuous maps by convergence of sequences. Finally, we discuss the productive property of first countability of I-fuzzy topological spaces.

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Physical Sciences and Engineering Computer Science Artificial Intelligence