计算机科学与探索2017，Vol.11Issue(8)：1324-1339,16.DOI:10.3778/j.issn.1673-9418.1703085
KU代数上的(∈,∈∨q(λ,μ))-模糊正关联理想
On (∈,∈∨q(λ,μ))-Fuzzy Positive Implicative Ideals of KU-Algebras
摘要
Abstract
Firstly, this paper gives the concepts of pointwise (∈,∈∨q(λ,μ))-fuzzy positive implicative ideals and gen-eralized fuzzy positive implicative ideals of KU-algebras, obtains some equivalent characterizations of (∈,∈∨q(λ,μ))-fuzzy positive implicative ideals of KU-algebras, and points the richer hierarchical structure of the fuzzy positive implicative ideals. Secondly, this paper acquires the properties that intersections, unions, homomorphic image and homomorphic preimage (under certain condition) of (∈,∈∨q(λ,μ))-fuzzy positive implicative ideals of KU-algebras are also (∈,∈∨q(λ,μ))-fuzzy positive implicative ideals. Then, this paper investigates the direct product and proje-ction of (∈,∈∨q(λ,μ))-fuzzy positive implicative ideals of KU-algebras. At last, this paper introduces the new con-cepts of the descending (ascending) chain conditions of the positive implicative ideals of KU-algebras, which are studied by using the properties of (∈,∈∨q(λ,μ))-fuzzy positive implicative ideals.关键词
KU代数/(∈,∈∨q(λ,μ))-模糊正关联理想/同态映射/投影/降(升)链条件Key words
KU-algebras/(∈/∈∨q(λ/μ))-fuzzy positive implicative ideals/homomorphic mapping/projection/des-cending (ascending) chain condition分类
数理科学引用本文复制引用
李论,廖祖华,陈柳红,宋威,吴树忠,朱晓英..KU代数上的(∈,∈∨q(λ,μ))-模糊正关联理想[J].计算机科学与探索,2017,11(8):1324-1339,16.基金项目
The National Natural Science Foundation of China under Grant Nos. 61170121, 11401259, 61673193 (国家自然科学基金) （国家自然科学基金）
the Natu-ral Science Foundation of Jiangsu Province under Grant No. BK20151117 (江苏省自然科学基金) （江苏省自然科学基金）
the Undergraduate Innovation and Entrepreneurship Training Program of China under Grant No. 201610295005 (国家大学生创新训练项目). （国家大学生创新训练项目）
