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同Vague谓词命题的概率逻辑

刘洋 张兴芳

计算机工程与应用2016,Vol.52Issue(6):35-41,7.
计算机工程与应用2016,Vol.52Issue(6):35-41,7.DOI:10.3778/j.issn.1002-8331.1509-0184

同Vague谓词命题的概率逻辑

Probabilistic logic of same Vague predicate propositions

刘洋 1张兴芳1

作者信息

  • 1. 聊城大学 数学科学学院,山东 聊城 252059
  • 折叠

摘要

Abstract

Based on a new cognizing for Vague concepts, using random sets and probability theory, the concepts of expres-sion 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.

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

Key words

non-classical logic/probabilistic logic/same Vague predicate propositions/random sets/expression of universe of discourse

分类

数理科学

引用本文复制引用

刘洋,张兴芳..同Vague谓词命题的概率逻辑[J].计算机工程与应用,2016,52(6):35-41,7.

基金项目

国家自然科学基金(No.11471152,No.61273044)。 ()

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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