Several representation formulas of the fuzzy integral have been found, both for general integrand [2,3] and for integrand having suitable continuity properties [2]. In this paper some representations of the fuzzy integral are considered. The case of a topological structure added is treated. Furthermore an expression of the fuzzy integral of a fuzzy variable in terms of a decreasing rearrangement of f is given.

Representations of the fuzzy integral

Squillante M;
1989-01-01

Abstract

Several representation formulas of the fuzzy integral have been found, both for general integrand [2,3] and for integrand having suitable continuity properties [2]. In this paper some representations of the fuzzy integral are considered. The case of a topological structure added is treated. Furthermore an expression of the fuzzy integral of a fuzzy variable in terms of a decreasing rearrangement of f is given.
1989
Decreasing rearrangement; Fuzzy integral; Fuzzy variable
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/1356
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