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| 格蕴涵代数的T-模糊同余关系 | |
| 引用本文： | 黄黎明,唐贵华,秦亚.格蕴涵代数的T-模糊同余关系[J].内江师范学院学报,2011,26(4):7-10. |
| 作者姓名： | 黄黎明 唐贵华 秦亚 |
| 作者单位： | 1. 内江职业技术学院,机械工程系,四川,内江,641100 2. 遂宁市安居育才中学,四川,遂宁,629001 3. 内江师范学院,共青团委员会,四川,内江,641100 |
| 摘 要： | 将t-模应用于模糊同余上,引入格蕴涵代数的T-模糊同余,并研究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;最后得到了商格蕴涵代数以及同态定理. |
| 关 键 词： | 格蕴涵代数 T-模糊滤子 T-模糊同余 |
T-fuzzy Congruences of Lattice Implication Algebras |
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| HUANG Li-ming,TANG Gui-hua,QIN Ya.T-fuzzy Congruences of Lattice Implication Algebras[J].Journal of Neijiang Teachers College,2011,26(4):7-10. | |
| Authors: | HUANG Li-ming TANG Gui-hua QIN Ya |
| Institution: | 1.Department of Mechanical Engineering,Neijiang Vocational &Technical College,641100,China;2.Anju Yucai Middle School,Suining,Sichuan 629001,China;3.Communist Youth League Committee of Neijiang Normal University,Sichuan 641100,China) |
| Abstract: | Applying T-norm to fuzzy congruences in lattice implication algebras,the notions of T-fuzzy congruences of lattices implication algebras is introduced.Through the probe into the corresponding properties and some equivalent characterizations,a conclusion is reached that that the set TFF（L） of all T-fuzzy filters is isomorphic to the set TFC（L） of all T-fuzzy congruences;and in the end,the quotient lattices implication and homomorphism theorem are thus obtained. |
| Keywords: | lattice implication algebras T-fuzzy filters T-fuzzy congruences |
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