Fuzzy数Fuzzy测度

Fuzzy measure of Fuzzy number

198 6年 ,张文修教授首次于文献 [1 ]中引入了Fuzzy数测度的概念 ,并且研究了它与经典集值测度的关系。张广全先生曾利用自己引入的Fuzzy数Fuzzy距离 ,在文献 [2～ 3 ]中给出了Fuzzy数值Fuzzy测度的概念 ,并以此为基础建立了一套完整的测度和积分理论。本文将利用Ra lessu[4] 引入的Fuzzy数之间的距离 ,来重新定义Fuzzy数Fuzzy测度 ,同时提出区间数Fuzzy测度的概念 ,类似于文献 [1 ],我们将讨论区间数Fuzzy测度与Fuzzy数Fuzzy测度之间的关系。

In 1986,Professor Zhang Wen xiu introduced the concept of Fuzzy numbers measure in the document for the first time and studied its relation with the classical lumped value measure.Having using Fuzzy distance of Fuzzy number quoted by his own,Mr Zhang Guang quan has offered the concept of Fuzzy measure of Fuzzy number in the documentsand established a complete set of measure and integral theories on this base.This article will use the distance between Fuzzy numbers which was drawn from Ralessuto give a fresh definition to Fuzzy measure of Fuzzy number,meanwhile,bring up the concept of Fuzzy measure of the interval number.To be similar with the document,well discuss the relation between Fuzzy measure of interval number and Fuzzy measure of Fuzzy number.