[s,t]- bck代数的模糊滤子

2010 International Conference On Computer Design and Applications Pub Date : 2010-06-25 DOI:10.1109/ICCDA.2010.5540982

Pen Jiayin

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引用次数: 0

摘要

得到了(∈，∈∨q)-模糊滤波器和(β′，δ)-模糊滤波器的定义，以及4个新的(β′，δ)-模糊滤波器。作为模糊bck滤波器(∈，∈∨q) -模糊滤波器和(∈，∈∨q) -模糊滤波器的推广，给出了带阈值的(s,t]-模糊滤波器的定义。讨论了这些模糊滤波器与它们的电平滤波器之间的关系，研究了一些建议，并给出了它们的等价描述。研究了如何处理(s,t]-模糊滤波器的同态象和逆象。

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(s,t]-fuzzy filters of BCK-algebras

The definitions of (∈,∈∨q)-fuzzy filter and (β̄,ᾱ)-fuzzy filter, and four new (β̄,ᾱ)-fuzzy filters are acquired. As a generalization of fuzzy BCK-filter, (∈,∈∨q) -fuzzy filter and (∈,∈̄∨q) -fuzzy filter, we give the definition of (s,t]-fuzzy filter with thresholds. The relations between these fuzzy filters and their level filters are discussed, some proposed are studed, and their equivalent descriptions are given. How to deal with the homomorphic image and inverse image of (s,t]-fuzzy filters are investigated.

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2010 International Conference On Computer Design and Applications

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