Generalized fuzzy ideals of BE-algebras(BE-代数的广义模糊理想)
利用模糊拓扑中模糊点重于和属于模糊集概念研究模糊代数结构,在BE-代数中引入(∈,∈ ∨q)-模糊理想的概念,并研究这类模糊理想的重要性质.得到了 BE-代数中(∈,∈ ∨q)-模糊理想的若干等价条件,研究了 BE-代数的模糊理想和(∈,∈ ∨q)-模糊理想的关系,特别是利用上水平集和∈ ∨q-水平集刻画了(∈,∈ ∨q)-模糊理想.本文拓展了模糊代数结构的研究内容和方法.此结果和方法稍作修改可用于工程、计算机科学、人工智能和其他模糊代数结构等研究领域....
Main Author: | MENGBiao-long(孟彪龙) |
---|---|
Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2012-01-01
|
Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2012.01.001 |
Similar Items
-
(∈, ∈ ∨q)-fuzzy soft ideals in BCK/BCI-algebras(BCK/BCI-代数的(∈,∈∨q)-模糊软理想)
by: LIUChunhui(刘春辉)
Published: (2015-05-01) -
Anti-soft ideals of lattices(格的反软理想)
by: TONGJuan(童娟), et al.
Published: (2017-01-01) -
The positive implicative of dual ideals in bounded BCK-algebra(有界BCK-代数中的正关联对偶理想)
by: SUNPei-yuan(孙培源)
Published: (2001-03-01) -
Primary decompositions of the ideals of Abelian π-regular ring(Abelian π-正则环的理想准素分解)
by: LUJianwei(卢建伟)
Published: (2014-07-01) -
(∈, ∈∨q)-fuzzy prime filters in BL-algebras(BL-代数的(∈,∈∨q)-模糊素滤子)
by: LIUChunhui(刘春辉)
Published: (2014-09-01)