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Bull. Korean Math. Soc. 2002; 39(4): 617-633

Printed December 1, 2002

Copyright © The Korean Mathematical Society.

Fuzzy interior spaces

A. A. Ramadan, M. A. Abdel-Sattar, and Yong Chan Kim

Cairo University, Cairo University, Kangnung National University

Abstract

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In this paper, we study some properties of fuzzy interior spaces. Also, we investigate the relations between fuzzy interior spaces and fuzzy topological spaces. In particular, we prove the existence of product fuzzy topological spaces and product fuzzy interior spaces. We investigate the relations between them.

Keywords: fuzzy topology, fuzzy interior spaces, fuzzy continuous maps, fuzzy $I$-maps

MSC numbers: 54A40, 06D35, 03B52

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