| R_0-代数的(∈, ∈ ∨ q_k)-模糊滤子格（英文） |
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| 引用本文： | 刘春辉.R_0-代数的(∈, ∈ ∨ q_k)-模糊滤子格（英文）[J].数学季刊,2018(2). |
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| 作者姓名： | 刘春辉 |
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| 摘 要： | The purpose of this paper is to further study the(∈,∈∨q_k)-fuzzy filter theory in R_0-algebras. Some new properties of(∈, ∈∨ q_k)-fuzzy filters are given. Representation theorem of(∈,∈∨q_k)-fuzzy filter which is generated by a fuzzy set is established. It is proved that the set consisting of all(∈, ∈∨q_k)-fuzzy filters on a given R_0-algebra, under the partial order, forms a complete distributive lattice.
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