Gödel逻辑系统中公式条件概率真度的研究

J4 ›› 2009, Vol. 44 ›› Issue (9): 70-74.

Gödel逻辑系统中公式条件概率真度的研究

袁彦莉张兴芳

聊城大学数学科学学院, 山东聊城 252059

收稿日期:2008-11-10 出版日期:2009-09-16 发布日期:2009-11-05
通讯作者: 张兴芳(1957-),女,教授,研究生导师,研究方向为模糊推理,模糊逻辑,模糊信息处理等.
作者简介:袁彦莉(1983〓),女,硕士研究生,研究方向为模糊推理,模糊逻辑. Email:yuanyanli344@sina.com
基金资助:
国家自然科学基金资助项目(60875034)

Study of the conditional probability truth degree of formulas in the Gödel logic system

YUAN Pan-Chi, Zhang-Xin-Fang

School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China

Received:2008-11-10 Online:2009-09-16 Published:2009-11-05

摘要/Abstract

摘要：

基于条件概率的思想,在Gödel连续值命题逻辑系统中引入赋值密度函数概念,给出了公式的概率真度、条件概率真度的定义,定义了公式间的相似度和伪距离并给出了相关的性质。

关键词: 赋值密度函数;条件概率真度;相似度;伪距离

Abstract:

The valuation density function of formulas in continuous value propositional logic system is obtained based on the idea of conditional probability.The definition of probability truth degree and conditional probability truth degree for formulas in the continuous value propositional logic system are proposed. The similarity degree and pseudodistance between formulas are defined and their properties are given.

Key words: valuation density function; conditional probability truth degree; similarity degree; pseudodistance

中图分类号:

O141.1

袁彦莉张兴芳. Gödel逻辑系统中公式条件概率真度的研究[J]. J4, 2009, 44(9): 70-74.

YUAN Pan-Chi, Zhang-Xin-Fang. Study of the conditional probability truth degree of formulas in the Gödel logic system[J]. J4, 2009, 44(9): 70-74.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

[1]	刘春辉1,2. Heyting代数的模糊滤子格[J]. J4, 2013, 48(12): 57-60.
[2]	马丽娜王国俊. Lukasiewicz三值逻辑中命题的真度值之集在［0,1］上的分布[J]. J4, 2009, 44(10): 54-59.
[3]	段景瑶王国俊. 关于K的三种模糊模态逻辑[J]. J4, 2008, 43(12): 31-39.