计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (12): 54-58.

• 理论研究、研发设计 • 上一篇    下一篇

[N(2,2,0)]代数的[(∈,∈∨q(λ,μ))-]模糊结合理想

张建忠1,傅小波1,廖祖华2,3   

  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
  • 出版日期:2014-06-15 发布日期:2015-05-08

[(∈,∈∨q(λ,μ))-]fuzzy associative ideal of [N(2,2,0)] algebra

ZHANG Jianzhong1, FU Xiaobo1, 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:2014-06-15 Published:2015-05-08

摘要: 引入[N(2,2,0)]代数结合理想的概念。利用[(∈,∈∨q(λ,μ))-]模糊代数,给出了[N(2,2,0)]代数广义[(λ,μ)-]模糊结合理想和点态化模糊结合理想的概念,讨论了两者之间的等价关系;给出了[(∈,∈∨q(λ,μ))-]模糊结合理想的一些等价刻画,研究了其相关性质;讨论了[(∈,∈∨q(λ,μ))-]模糊结合理想的同态像与同态原像的关系;还研究了[(∈,∈∨q(λ,μ))-]模糊结合理想的直积。

关键词: [N(2, 2, 0)]代数, 广义[(&lambda, &mu, )-]模糊结合理想, [(&isin, &isin, &or, q(&lambda, &mu, ))-]模糊结合理想, 同态, 直积

Abstract: The concept of associative ideal of the[N(2,2,0)]algebra is introduced; with the help of [(∈,∈∨q(λ,μ))-]fuzzy algebra, the notions of generalized[(λ,μ)-]fuzzy associative ideal and pointwise fuzzy associative ideal are proposed, and the relationship between them is also discussed; besides, this paper presents some equivalent descriptions of the[(∈,∈∨q(λ,μ))-]fuzzy associative ideal, and discusses the related properties; some basic properties of homomorphic image and homomorphic preimage of the[(∈,∈∨q(λ,μ))-]fuzzy associative ideal are discussed. Direct product of the[(∈,∈∨q(λ,μ))-]fuzzy associative ideal is also studied.

Key words: [N(2,2,0)]algebra, generalized [(λ,μ)-]fuzzy associative ideal, [(∈,∈∨q(λ,μ))-]fuzzy associative ideal, homomorphism, direct product