Elsevier

Fuzzy Sets and Systems

Volume 100, Issues 1–3, 16 November 1998, Pages 353-365
Fuzzy Sets and Systems

Some remarks on distances between fuzzy numbers

https://doi.org/10.1016/S0165-0114(97)00090-0Get rights and content

Abstract

In this paper we consider different approaches to assigning distances between fuzzy numbers. A pseudo-metric on the set of fuzzy numbers arising from the idea of the value of a fuzzy number is described, and some of its topological properties are noted. Reducing functions are used to define a family of metrics on the space of fuzzy numbers; some convergent properties for these metrics are illustrated. Finally, a fuzzy distance between fuzzy numbers is introduced and its basic properties are studied.

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