不确定度问题研究情况综述

Survey of Research on Measure of Uncertainty

不确定度是一个度量不确定性测度函数所表示对象的不确定程度的模型,不同的不确定性理论用不同的不确定性测度描述。很多文献针对不同对象的不同不确定性测度提出了各种不确定度模型。本文从经典Shannon熵和Hartley熵出发,对这些不确定度模型作一个综述,涉及到的不确定性理论包括概率论、模糊集合论、证据理论、可能性理论等。

Measure of uncertainty is a model that quantifies the uncertain degree embedded in an uncertainty measure. In different uncertainty theory, different uncertainty measure is used to describe different types of uncertainty. Various models are given to quantify uncertainties in literatures. In this paper, models of measure of uncertainty are surveyed, referring to various kinds of uncertainty theories including probability theory, possibility theory, fuzzy sets, Dempster-Shafer theory, which is regarded as numerical uncertainty measure. This survey is started with classical Shannon entropy and Hartley entropy, then various models with refer to different uncertainty measure are introduced. As a conclusion, the need for a generalized model for the measure of uncertainty is forecasted.