Journal of Frontiers of Computer Science and Technology ›› 2014, Vol. 8 ›› Issue (5): 622-629.DOI: 10.3778/j.issn.1673-9418.1310031

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(∈,∈∨q(λ,μ))-Fuzzy Positive Implicative Ideal of N(2,2,0) Algebra

ZHANG Jianzhong1, FU Xiaobo1,2, LIAO Zuhua2,3+   

  1. 1. Section of Foundation Education, Wuxi Institute of Technology, Wuxi, Jiangsu 214121, China
    2. School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China
    3. Engineering Research Center of Internet of Things Technology Application of Ministry of Education, Jiangnan University, Wuxi, Jiangsu 214122, China
  • Online:2014-05-01 Published:2014-05-05



  1. 1. 无锡职业技术学院 基础部,江苏 无锡 214121
    2. 江南大学 理学院,江苏 无锡 214122
    3. 江南大学 教育部物联网技术应用工程研究中心,江苏 无锡 214122

Abstract: This paper studies the positive implicative ideal of the N(2,2,0) algebra. Firstly, this paper proposes the notions of positive implicative ideal of the N(2,2,0) algebra, and discusses the relationships between positive implicative ideal and ideal, implicative ideal. Secondly, this paper introduces the concepts of generalized (λ,μ)-fuzzy positive implicative ideal and pointwise fuzzy positive implicative ideal, and discusses the relationship between them. Finally, this paper presents some equivalent descriptions of the (∈,∈∨q(λ,μ))-fuzzy positive implicative ideal, and discusses the related properties.

Key words: N(2,2,0) algebra, positive implicative ideal, generalized (λ,μ)-fuzzy positive implicative ideal;(∈,∈∨q(λ,μ))-fuzzy positive implicative ideal

摘要: N(2,2,0)代数的正关联理想进行了详细的研究。提出了N(2,2,0)代数正关联理想的概念,讨论了正关联理想与理想、关联理想的关系;给出了N(2,2,0)代数广义(λ,μ)-模糊正关联理想和点态化模糊正关联理想的概念,讨论了两者之间的等价关系;给出了(∈,∈∨q(λ,μ))-模糊正关联理想的一些等价刻画,并研究了其相关性质。

关键词: N(2, 2, 0)代数, 正关联理想, 广义(&lambda, , &mu, )-模糊正关联理想, (&isin, &isin, &or, q(&lambda, , &mu, ))-模糊正关联理想