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浙江大学学报（理学版）
Journal of Zhejiang University (Science Edition)  2014, Vol. 41 Issue (5): 489-493    DOI: 10.3785/j.issn.1008-9497.2015.05.001
    
(∈,∈∨q)-fuzzy prime filters in BL-algebras
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Received: 21 January 2014      Published: 01 May 2014
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LIU Chunhui
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LIU Chunhui. (∈,∈∨q)-fuzzy prime filters in BL-algebras. Journal of Zhejiang University (Science Edition), 2014, 41(5): 489-493.

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https://www.zjujournals.com/sci/EN/Y2014/V41/I5/489


BL代数的(∈,∈∨q)-模糊素滤子

利用模糊拓扑中模糊点重于和属于模糊集的概念研究模糊逻辑代数结构，在BL代数中引入(∈，∈∨q)模糊素滤子的概念并研究其性质.获得了BL代数中(∈，∈∨q)-模糊素滤子的若干等价刻画，讨论了BL-代数中素滤子与(∈，∈∨q)-模糊素滤子间的关系，考察了BL-代数中(∈，∈∨q)-模糊素滤子的同态性质，证明了BL-代数中(∈，∈∨q)-模糊素滤子的同构（同态）像（原像）仍为(∈，∈∨q)-模糊素滤子这一结论.
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