On the requirement of flexible logic of intelligent decision support system to classic logic,the flexible logic based on grey cloud called as grey cloud logic is proposed based on the analysis of classic and un-classic logic.

Proposition relativity and logic calculation in probabilistic logic;

In artificial intelligence, researchers combine the advantage of probabilistic with logic, and study the probabilistic logic.

Probability Logic Pseudo-metric Space and Its Properties;

The Logical Philosophy Problem Arise from Probability Logic;

The Probability logic operator constructed by Schweizer operator cluster is not only can satisfy the basic axiom of probability,but also realize the seriate monotone and variable operation of Probability logic.