H-continuity of fuzzy measures and set defuzzification

Authors:
H. Román-Flores;Y. Chalco-Cano
Affiliations:
Departamento de Matemática, Universidad de Tarapacá, Casilla 7-D Arica, Chile;Departamento de Matemática, Universidad de Tarapacá, Casilla 7-D Arica, Chile
Venue:
Fuzzy Sets and Systems
Year:
2006

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Abstract

The purpose of this work is to analyze the continuity of fuzzy measures with respect to the Hausdorff metric on K(R^n), the class of all nonempty compact subsets of R^n. As an application, we study the continuity of set defuzzification processes on R^n which are defined by Aumann integral methods.