Theory of α-stochastic truth degrees in Gödel n-valued propositional logic

doi:10.3778/j.issn.1002-8331.2009.31.013

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (31): 40-42.DOI: 10.3778/j.issn.1002-8331.2009.31.013

• 研究、探讨 • Previous Articles Next Articles

Theory of α-stochastic truth degrees in Gödel n-valued propositional logic

SONG Ying，ZHANG Xing-fang

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

Received:2009-04-08 Revised:2009-06-02 Online:2009-11-01 Published:2009-11-01
Contact: SONG Ying

Gödel n值命题逻辑中公式的α-随机真度理论

宋颖，张兴芳

聊城大学数学科学学院，山东聊城 252059

通讯作者: 宋颖

Abstract

Abstract: This paper proposes the conception of α-stochastic truth degrees in Gödel n-valued propositional logic and offers illustration of some of its quality.The conception of α-Dⁿ similarity degree between formulas according to the α-stochastic truth degrees is followed. Morever，a pseudometric on the set of formulas is defined.

Key words: n-valued propositional logic, α-Stochastic truth degrees, α-Dⁿ similarity degree, α-Dⁿ pseudometric

摘要： 给出了Gödel n值命题逻辑中公式的α-随机真度的概念，研究了其性质，利用α-随机真度定义了公式间的α-Dⁿ相似度，进而导出全体公式集上的一种伪距离。

关键词: n值命题逻辑, α-随机真度, α-Dⁿ相似度, α-Dⁿ伪距离

CLC Number:

O159

SONG Ying，ZHANG Xing-fang. Theory of α-stochastic truth degrees in Gödel n-valued propositional logic[J]. Computer Engineering and Applications, 2009, 45(31): 40-42.

宋颖，张兴芳. Gödel n值命题逻辑中公式的α-随机真度理论[J]. 计算机工程与应用, 2009, 45(31): 40-42.

[1]	FU Wen-qing，LI Sheng-gang. Soft BCK algebra [J]. Computer Engineering and Applications, 2010, 46(10): 5-6.
[2]	HU Kai^1，2. Factor spaces and mathematical frame of knowledge representation—Properties and composition of catastrophic standard multifactorial function [J]. Computer Engineering and Applications, 2010, 46(8): 25-28.
[3]	LI Wei-cai^1，3，WU Hai-xiang²，QIN Feng³，WEI Xi-feng¹. On distributivity equations’solutions of QL- and D-implications [J]. Computer Engineering and Applications, 2010, 46(4): 36-38.
[4]	FU Jin-qiang¹，YAO Bing-xue¹，WANG Zhong-hua². Vague relations and Vague mapping [J]. Computer Engineering and Applications, 2010, 46(3): 39-41.
[5]	GONG Zeng-tai，MA Yan. Covering rough intuitonistic fuzzy set model [J]. Computer Engineering and Applications, 2010, 46(3): 42-45.
[6]	LIU Ruo-hui¹，LIU Bao-cang². Mining of S_p-upper ladder knowledge and algorithm of state recognition [J]. Computer Engineering and Applications, 2010, 46(1): 45-47.
[7]	GUO Zhi-lin. Approximate method of system uncertainty based on singular rough sets [J]. Computer Engineering and Applications, 2009, 45(35): 52-55.
[8]	LI Shao-yong，LI Cheng-yun. Discuss of numbers of sub-algebra in n-value logic systems [J]. Computer Engineering and Applications, 2009, 45(27): 62-65.
[9]	SONG Ying，ZHANG Xing-fang. New reverse triple I method based on Godel implication operator [J]. Computer Engineering and Applications, 2009, 45(25): 45-47.

Theory of α-stochastic truth degrees in Gödel n-valued propositional logic

Gödel n值命题逻辑中公式的α-随机真度理论

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 9

Recommended Articles

Metrics