Metric topology of fuzzy numbers and fuzzy analysis

Phil Diamond

Peter Kloeden

pp. 583-641

in: Didier Dubois, Henri Prade (eds), Fundamentals of fuzzy sets, Berlin, Springer, 2000

Abstract

This chapter gives an overview of distances between fuzzy numbers and the topology that these metrics induce. The metric structure allows the development of fuzzy analysis and various applications to interpolation, approximation and differential equations.