模糊数模糊测度空间上Riesz定理的注记

A Note on The Riesz's Theorem of Fuzzy Number-Valued Fuzzy Measure Space

本文通过—个反例指出《模糊值测度论》(张广全,清华人学出版社,1998)书中给出的模糊值模糊测度空间上的Riesz定理是不成立的,我们给出定理的正确形式。

In this note, we point out that a version of Riesz＇s theorem on fuzzy number- valued fuzzy measure space,which is shown by Zhaug [ Fuzzy - Valued Measure Theory, Tsinghua University Press, 1998 ] ,is not valid,We give the correct form of the theorem.