- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 62 Issue: 1
- A neighbourhood system of fuzzy numbers and its topology
A neighbourhood system of fuzzy numbers and its topology
Authors : Salih Aytar
Pages : 73-83
Doi:10.1501/Commua1_0000000687
View : 7 | Download : 5
Publication Date : 2013-02-01
Article Type : Research
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 studiedKeywords : Fuzzy number, Fuzzy metric, Types of convergence of a fuzzy numbersequence