BCK代数的广义（∈,∈∨q）-模糊理想

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

数学季刊 ›› 2015, Vol. 30 ›› Issue (3): 373-380.doi: 10.13371/j.cnki.chin.q.j.m.2015.03.008

BCK代数的广义（∈,∈∨q）-模糊理想

School of Mathematics and Statistics, Chifeng University

收稿日期:2013-11-15 出版日期:2015-09-30 发布日期:2020-11-20
作者简介: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.
基金资助:
Supported by the National Science Foundation of China(60774073)；

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

School of Mathematics and Statistics, Chifeng University

Received:2013-11-15 Online:2015-09-30 Published:2020-11-20
About author: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.
Supported by:
Supported by the National Science Foundation of China(60774073)；

摘要/Abstract

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

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

中图分类号:

O153.3

刘春辉. BCK代数的广义（∈,∈∨q）-模糊理想[J]. 数学季刊, 2015, 30(3): 373-380.

LIU Chun-hui. Generalized （∈,∈∨q）-fuzzy Ideals in BCK-algebras[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(3): 373-380.

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BCK代数的广义（∈,∈∨q）-模糊理想

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

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