Truth degree theory of one kind of fuzzy logic system of Frank t-norm

doi:10.3778/j.issn.1002-8331.2011.02.010

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (2): 32-34.DOI: 10.3778/j.issn.1002-8331.2011.02.010

• 研究、探讨 • Previous Articles Next Articles

Truth degree theory of one kind of fuzzy logic system of Frank t-norm

ZHANG Mei，MA Yingcang

School of Science，Xi’an Polytechnic University，Xi’an 710048，China

Received:2010-03-08 Revised:2010-05-20 Online:2011-01-11 Published:2011-01-11
Contact: ZHANG Mei

Frank三角范数的一类模糊逻辑系统的真度理论

张美，马盈仓

西安工程大学理学院，西安 710048

通讯作者: 张美

Abstract

Abstract: By means of the function induced by a logical formula A，the concept of integral truth of the logical formula A is introduced in one kind of fuzzy logic system based on Frank t-norm，then the absolute similarity degree and pseudo-distance between two formulas are defined by using the integral truth，and their properties are discussed.

Key words: integral truth degree, similarity degree, pseudo-distance

摘要： 在一类基于Frank三角范数的模糊逻辑系统中，借助逻辑公式A所诱导的函数引入逻辑公式A的积分真度概念，并利用积分真度定义公式间的相似度和伪距离，讨论相似度和伪距离性质。

关键词: 积分真度, 相似度, 伪距离

CLC Number:

O142

ZHANG Mei，MA Yingcang. Truth degree theory of one kind of fuzzy logic system of Frank t-norm[J]. Computer Engineering and Applications, 2011, 47(2): 32-34.

张美，马盈仓. Frank三角范数的一类模糊逻辑系统的真度理论[J]. 计算机工程与应用, 2011, 47(2): 32-34.

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Truth degree theory of one kind of fuzzy logic system of Frank t-norm

Frank三角范数的一类模糊逻辑系统的真度理论

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