BCK代数的广义（∈,∈∨q）-模糊理想

刘春辉

doi:10.13371/j.cnki.chin.q.j.m.2015.03.008

数学季刊 >

2015 , Vol. 30 >Issue 3: 373 - 380

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.03.008

BCK代数的广义（∈,∈∨q）-模糊理想

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School of Mathematics and Statistics, Chifeng University

LIU Chun-hui(1982-), male, native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in domain theory, non-classical mathematical logic and topology.

收稿日期: 2013-11-15

网络出版日期: 2020-11-20

基金资助

Supported by the National Science Foundation of China(60774073)；

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Generalized （∈,∈∨q）-fuzzy Ideals in BCK-algebras

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School of Mathematics and Statistics, Chifeng University

LIU Chun-hui(1982-), male, native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in domain theory, non-classical mathematical logic and topology.

Received date: 2013-11-15

Online published: 2020-11-20

Supported by

Supported by the National Science Foundation of China(60774073)；

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摘要

In this paper, as a generalization of the notion of（∈, ∈∨ q）-fuzzy ideals, we introduced the notion of（∈, ∈∨ qδ）-fuzzy ideals and investigated their properties in BCKalgebras. Several equivalent characterizations of（∈, ∈∨ qδ）-fuzzy ideals are obtained and relations between（∈, ∈∨ qδ）-fuzzy ideals and ideals are discussed in BCK-algebras.

关键词： BCK-algebra; ideal; fuzzy ideal; （∈, ∈∨ q^δ）-fuzzy ideal

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刘春辉 . BCK代数的广义（∈,∈∨q）-模糊理想[J]. 数学季刊, 2015 , 30(3) : 373 -380 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.03.008

Abstract

In this paper, as a generalization of the notion of（∈, ∈∨ q）-fuzzy ideals, we introduced the notion of（∈, ∈∨ q^δ）-fuzzy ideals and investigated their properties in BCKalgebras. Several equivalent characterizations of（∈, ∈∨ q^δ）-fuzzy ideals are obtained and relations between（∈, ∈∨ q^δ）-fuzzy ideals and ideals are discussed in BCK-algebras.

Key words： BCK-algebra; ideal; fuzzy ideal; （∈, ∈∨ q^δ）-fuzzy ideal

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