T-fuzzy filters and T-fuzzy congruences of residuated lattices

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (28): 24-27.

• 博士论坛 • Previous Articles Next Articles

T-fuzzy filters and T-fuzzy congruences of residuated lattices

LIU Yi1，2，3，QIN Xiaoyan3，XU Yang3

1.Key Lab of Numerical Simulation in Sichuan Provincial College，Neijiang Normal University，Neijiang，Sichuan 641112，China
2.College of Mathematics and Information Science，Neijiang Normal University，Neijiang，Sichuan 641112，China
3.Intelligent Control Development Center，Southwest Jiaotong University，Chengdu 610031，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-10-01 Published:2011-10-01

剩余格的T-模糊滤子与T-模糊同余关系

刘熠1，2，3，秦晓燕3，徐扬3

1.内江师范学院四川省高等学校数值仿真重点实验室，四川内江 641112
2.内江师范学院数学与信息科学学院，四川内江 641112
3.西南交通大学智能控制开发中心，成都 610031

Abstract

Abstract: Applying t-norm to fuzzy filters and fuzzy congruences in residuated lattices，the notions of T-fuzzy filters and T-fuzzy congruences of residuated lattices are introduced，their properties and some equivalent characterizations are derived.The set TFF（L） of all T-fuzzy filters is isomorphic to the set TFC（L） of all T-fuzzy cogruences.The quotient residuated lattices and homomorphism theorem are obtained.These results and methods are still held in other logical algebraic structure.

Key words: residuated lattices, T-fuzzy filters, T-fuzzy congruences

摘要： 将t-模应用于模糊滤子和模糊同余上，引入剩余格的T-模糊滤子与T-模糊同余，并分别研究T-模糊滤子与T-模糊同余的性质与一些等价刻画;得到全体T-模糊滤子的集合与T-模糊同余的集合是同构;研究了由T-模糊滤子所诱导的商剩余格以及同态定理。这些理论在其他的逻辑代数系统仍然成立。

关键词: 剩余格, T-模糊滤子, T-模糊同余

LIU Yi1，2，3，QIN Xiaoyan3，XU Yang3. T-fuzzy filters and T-fuzzy congruences of residuated lattices[J]. Computer Engineering and Applications, 2011, 47(28): 24-27.

刘熠1，2，3，秦晓燕3，徐扬3. 剩余格的T-模糊滤子与T-模糊同余关系[J]. 计算机工程与应用, 2011, 47(28): 24-27.

[1]	MA Zhenming. n-fold MTL-filters and their characterizations in residuated lattices [J]. Computer Engineering and Applications, 2013, 49(20): 45-47.
[2]	MA Zhenming. Some types of n-fold filters on residuated lattices and their characterizations [J]. Computer Engineering and Applications, 2013, 49(19): 36-38.
[3]	ZHANG Xiongwei. Fuzzy soft ideals on residuated lattices [J]. Computer Engineering and Applications, 2013, 49(18): 45-47.
[4]	MA Zhenming1，2. MTL-filters and their characterizations in residuated lattices [J]. Computer Engineering and Applications, 2012, 48(20): 64-66.

T-fuzzy filters and T-fuzzy congruences of residuated lattices

剩余格的T-模糊滤子与T-模糊同余关系

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 4

Recommended Articles

Metrics