关键词: 非经典逻辑, 概率逻辑, 同Vague谓词命题, 随机集, 论域表达式

Abstract: Based on a new cognizing for Vague concepts, using random sets and probability theory, the concepts of expression of universe of discourse and its appropriate measure are introduced. Consequently, by introducing the concepts of same Vague predicate propositions and their probability-truth degree, a new non-classical logic, called probabilistic logic of same Vague predicate proposition, is presented, and the laws of the logic are provided. The laws of the logic show that it and classical logic have excellent consistency. This paper compares the advantages and shortages of both propositional Fuzzy logics and probabilistic logic of Vague propositions.

Key words: non-classical logic, probabilistic logic, same Vague predicate propositions, random sets, expression of universe of discourse