On convergence of fuzzy implications

doi:10.3778/j.issn.1002-8331.2010.10.009

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (10): 28-30.DOI: 10.3778/j.issn.1002-8331.2010.10.009

• 研究、探讨 • Previous Articles Next Articles

On convergence of fuzzy implications

WANG Dan¹，QIN Feng¹，LI Wei-cai²

1.College of Mathematics and Information Science，Jiangxi Normal University，Nanchang 330022，China
2.College of Mathematics and Information Science，Shijiazhuang University，Shijiazhuang 050035，China

Received:2009-03-23 Revised:2009-05-13 Online:2010-04-01 Published:2010-04-01
Contact: WANG Dan

模糊蕴涵的逼近性

王丹¹，覃锋¹，李伟才²

1.江西师范大学数学与信息科学学院，南昌 330022
2.石家庄学院数学与信息科学系，石家庄 050035

通讯作者: 王丹

Abstract

Abstract: This paper proves that convergence of fuzzy implications is equivalent with the uniform convergence of them，and then characters any continuous implications by means of all strong negations.Specially，it is found that any S-implication is fully determined by its value on the diagonal line in domain of definition.Moreover，a new method to construct fuzzy implications is suggested.

Key words: fuzzy implications, continuity, uniform convergence

摘要： 证明了模糊蕴涵的收敛性与一致收敛性等价，借助所有的强否定刻画了任意连续蕴涵。特别地，发现了S-蕴涵完全被定义域中对角线上的值所决定。此外，还给出了一种新的构造模糊蕴涵的方法。

关键词: 模糊蕴涵, 连续性, 一致收敛

CLC Number:

C934

WANG Dan¹，QIN Feng¹，LI Wei-cai². On convergence of fuzzy implications[J]. Computer Engineering and Applications, 2010, 46(10): 28-30.

王丹¹，覃锋¹，李伟才². 模糊蕴涵的逼近性[J]. 计算机工程与应用, 2010, 46(10): 28-30.

[1]	LI Qiang, YU Fengqin. Improved Melody Extraction Algorithm Based on Pitch Salience [J]. Computer Engineering and Applications, 2019, 55(3): 115-119.
[2]	LI Jun, LIU Yan. Property analysis of triple I method for Lukasiewicz intuitionistic fuzzy reasoning [J]. Computer Engineering and Applications, 2018, 54(8): 44-47.
[3]	GUO Keyou, WANG Yiwei, GUO Xiaoli. Lane classification algorithm combined LDA and LSD [J]. Computer Engineering and Applications, 2017, 53(24): 219-225.
[4]	ZHANG Yanyan, TAN Jieqing. Five-point interpolating subdivision scheme with two parameters [J]. Computer Engineering and Applications, 2014, 50(6): 135-138.
[5]	LI Lingqiang1，2, JIN Qiu2, WANG Lihua2, TANG Jiangang1. L-SLLSC isomorphic to L-SSC [J]. Computer Engineering and Applications, 2014, 50(4): 33-35.
[6]	MA Li1，2, LI Jingjiao1, MA Ji1，2. Modified Census transform with related information of neighborhood for stereo matching algorithm [J]. Computer Engineering and Applications, 2014, 50(24): 16-20.
[7]	QIU Ru, HANG Houjun, PAN Junchao. Study of quasi quartic Bezier curves with three shape parameters and its application [J]. Computer Engineering and Applications, 2014, 50(20): 158-162.
[8]	GUO Lei, LIANG Nan, WANG Ying. Improved method of pulse noise filtering based on PCNN [J]. Computer Engineering and Applications, 2012, 48(16): 26-29.
[9]	QIN Xinqiang, HUANG Ziyou, HU Gang, WANG Weiwei. On continuity conditions for CE-Bézier and H-Bézier curves and application in curve modeling [J]. Computer Engineering and Applications, 2012, 48(13): 171-175.
[10]	HU Meigui，ZHENG Hongchan，XU Ting，XU Feng. Continuity analysis and construction of ternary stationary approximating subdivision schemes [J]. Computer Engineering and Applications, 2011, 47(9): 167-170.
[11]	HU Meigui，ZHENG Hongchan，DUAN Jianwei. Six-point subdivision schemes with four parameters [J]. Computer Engineering and Applications, 2011, 47(6): 184-187.
[12]	SHI Lihong，ZHANG Guicang. New extension of cubic TC-Bézier curves [J]. Computer Engineering and Applications, 2011, 47(4): 201-204.
[13]	CHEN Yugan，ZHOU Xuecheng，LE Kai. New method for region growing segmentation of plant root CT image sequences [J]. Computer Engineering and Applications, 2011, 47(28): 158-161.
[14]	HAO Ru¹，LIU Run-tao². Joining between adjacent rational Bezier surfaces [J]. Computer Engineering and Applications, 2010, 46(4): 174-175.
[15]	HANG Hou-jun，YU Jing，LI Wang-gen. Two parameters extension of cubic Bezier curve and its applications [J]. Computer Engineering and Applications, 2010, 46(31): 178-180.

On convergence of fuzzy implications

模糊蕴涵的逼近性

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics