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The Lattice of(∈,∈∨qk)-fuzzy Filters in a Given R0-algebra

The Lattice of(∈,∈∨qk)-fuzzy Filters in a Given R0-algebra
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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.
作者 LIU Chun-hui
出处 《Chinese Quarterly Journal of Mathematics》 2018年第2期144-155,共12页 数学季刊(英文版)
基金 Supported by Higher School Research Foundation of Inner Mongolia(NJSY14283)
关键词 Fuzzy logic Ro-algebra (∈ ∨qk)-fuzzy filter LATTICE Fuzzy logic R0-algebra (∈,∨q_k)-fuzzy filter Lattice
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