﻿ 从布尔逻辑到模糊逻辑 From Boolean Logic to Fuzzy Logic

Pure Mathematics
Vol.06 No.02(2016), Article ID:17228,5 pages
10.12677/PM.2016.62016

From Boolean Logic to Fuzzy Logic

Tianyu Gan

The 3rd Middle School of Xuzhou, Xuzhou Jiangsu

Received: Mar. 8th, 2016; accepted: Mar. 22nd, 2016; published: Mar. 29th, 2016

Copyright © 2016 by author and Hans Publishers Inc.

ABSTRACT

Fuzzy mathematics is one of the most important theoretical bases of Artificial Intelligence. Fuzzy logic is the bridge which connects between the theory and application. It is very important to understand and grasp the spirit of fuzzy logic correctly. Starting from the well-known two-valued logic, this paper compares the concept, inference and application of fuzzy logic to those of two- valued logic. It will be helpful to understand and grasp the spirit of fuzzy mathematics.

Keywords:Fuzzy Inference; Fuzzy Set; Fuzzy Logic; Boolean Logic

1. 引言

2. 模糊集合与模糊逻辑

(1)

(2)

(3)

(4)

3. 模糊逻辑的应用与特点

(a) 二值逻辑 (b) 多值逻辑 (c) 模糊逻辑

Figure 1. Comparing fuzzy logic to Boolean and multi-value logic

Table 1. Boolean logic value

(5)

4. 总结

From Boolean Logic to Fuzzy Logic[J]. 理论数学, 2016, 06(02): 111-115. http://dx.doi.org/10.12677/PM.2016.62016

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