格蕴涵代数的TL-滤子

黄黎明, 何军, 段芳. 格蕴涵代数的TL-滤子[J]. 内江师范学院学报, 2011, (8): 6-8.

引用本文:

黄黎明, 何军, 段芳. 格蕴涵代数的TL-滤子[J]. 内江师范学院学报, 2011, (8): 6-8.

HUANG Li-ming, HE Jun, DUAN Fang. TL-filters of Lattice Implication Algebras[J]. Journal of Neijiang Normal University, 2011, (8): 6-8.

Citation:

HUANG Li-ming, HE Jun, DUAN Fang. TL-filters of Lattice Implication Algebras[J]. Journal of Neijiang Normal University, 2011, (8): 6-8.

TL-filters of Lattice Implication Algebras

摘要: 将有界格上的t-模应用于格蕴涵代数的滤子上,提出了格蕴涵代数的TL-滤子概念.研究了TL-滤子性质与一些等价刻画,并指出了TL-滤子与滤子之间的关系.

Abstract: By application of the t-norm of bounded lattices to filters of a lattice implication algebra, the concept of TL-filters of a lattice implication algebra is thus put forth. The properties of TL-filters and some of their equivalent characterizations are examined, and the relation between TL-filters and the filters is also explored.

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