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- 2017
剩余格上几类n重模糊滤子的等价刻画
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Abstract:
滤子是研究逻辑代数的有效工具.文章在剩余格上引入了n-重模糊蕴涵滤子、n-重模糊极滤子和n-重模糊正蕴涵滤子的概念，通过研究它们的特征和性质，获得了剩余格上这几类n-重模糊滤子之间相互转化的条件，研究结果拓展了剩余格上的模糊滤子理论，使剩余格上n-重模糊滤子概念间的层次关系更加清晰和完善.
Filter is an effective tool to study the logic algebras. In this paper, the concepts of n-fold fuzzy implicative filter, n-fold fuzzy fantastic filter and n-fold fuzzy positive implicative filter are introduced in the residuated lattice. Some of their properties and characterizations are given. And the conditions for the inter-transformation of these n-fold fuzzy filters in the residuated lattice are obtained. These results extend the theory of fuzzy filters in residuated lattices, and make the relationship between them more clea
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