论文标题
由随机模糊集引起的信念功能：代表不确定和模糊证据的一般框架
Belief functions induced by random fuzzy sets: A general framework for representing uncertain and fuzzy evidence
论文作者
论文摘要
我们重新审视Zadeh的“第二类证据”的概念，并表明它为认识论随机模糊集的一般理论奠定了基础，该理论概括了Dempster-Shafer信仰功能的理论和可能性理论。从这个角度来看，Dempster-Shafer理论涉及由随机集产生的信念功能，而可能性理论涉及模糊集引起的信念功能。更一般的理论使我们能够代表和结合不确定和模糊的证据。我们证明了这种形式主义在统计推论中的应用，并表明它可以与贝叶斯推论调解对可能性的可能性解释。
We revisit Zadeh's notion of "evidence of the second kind" and show that it provides the foundation for a general theory of epistemic random fuzzy sets, which generalizes both the Dempster-Shafer theory of belief functions and possibility theory. In this perspective, Dempster-Shafer theory deals with belief functions generated by random sets, while possibility theory deals with belief functions induced by fuzzy sets. The more general theory allows us to represent and combine evidence that is both uncertain and fuzzy. We demonstrate the application of this formalism to statistical inference, and show that it makes it possible to reconcile the possibilistic interpretation of likelihood with Bayesian inference.
