A new type of approximation for fuzzy intervals

Authors:
Y. Chalco-Cano;H. Román-Flores;Fernando Gomide
Affiliations:
Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica, Chile;Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile;Departamento de Engenharia de Computação e Automação Industrial, FEEC, UNICAMP, 130830-970 Campinas, SP, Brazil
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

This paper suggests a new method to approximate a fuzzy interval u by a sequence of differentiable fuzzy intervals. This new approximation method involves the construction of differentiable fuzzy intervals using the sup-min convolution of fuzzy sets. Numerical examples and an algorithm for computational implementation of the method proposed are also given.