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- 2017
BL代数的(,∨(-overq))-模糊滤子格
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Abstract:
摘要： 对BL代数的(,∨(-overq))-模糊滤子理论作进一步深入研究。给出了(,∨(-overq))-模糊滤子的若干新性质, 定义了由BL代数上的一个模糊集生成的(,∨(-overq))-模糊滤子并建立了其表示定理, 证明了BL代数的全体(,∨(-overq))-模糊滤子之集构成一个完备的分配格。
Abstract: (,∨(-overq))-fuzzy filter theory in BL-algebras is further studied. Some new properties of(,∨(-overq))-fuzzy filters are given. The notion of(,∨(-overq))-fuzzy filter which is generated by a fuzzy set is defined and its representation theorem is established. It is proved that the set of all(,∨(-overq))-fuzzy filters in a BL-algebra forms a complete distributive lattice
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