A neighbourhood system of fuzzy numbers and its topology

Year 2013, Volume: 62 Issue: 1, 73 - 83, 01.02.2013

Salih Aytar

https://doi.org/10.1501/Commua1_0000000687

Abstract

A neighbourhood system of fuzzy numbers and its topology

Abstract

The neighbourhood system obtained by the neighbourhoods (whose
radii are positive fuzzy numbers) in a fuzzy number-valued metric space is a
basis of a topology for the set of all fuzzy numbers. In this paper, the convergence with respect to this topology is introduced and its basic properties are
studied

Keywords

Fuzzy number, Fuzzy metric, Types of convergence of a fuzzy numbersequence

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• Current address : Süleyman Demirel University, Department of Mathematics, Isparta, TURKEY E-mail address : [e-mail] URL: http://communications.science.ankara.edu.tr/index.php?series=A1