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

LIU Chun-hui

doi:10.13371/j.cnki.chin.q.j.m.2018.02.005

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 2: 144 - 155

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.02.005

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

Expand

Department of Mathematics and Statistics, Chifeng University

LIU Chun-hui (1982-), male, native of Chifeng, Inner Mongolia, an associate professor of Chifeng University, M.S.D., engages in domain theory, non-Classical Mathematical Logic and Topology.

Accepted date: 2016-03-16

Online published: 2020-10-09

Supported by

Department of Mathematics and Statistics, Chifeng University

Fold

Abstract

The purpose of this paper is to further study the（∈, ∈ ∨ q_k)-fuzzy filter theory in R0-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 R0-algebra, under the partial order, forms a complete distributive lattice.

Key words： Fuzzy logic; R₀-algebra;（∈, ∨ q_k)-fuzzy filter; Lattice

Cite this article

LIU Chun-hui . The Lattice of （∈, ∈ ∨ q_k)-fuzzy Filters in a Given R₀-algebra[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(2) : 144 -155 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.02.005

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article