Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (9): 122-124.

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Ω-fuzzy soft rings

TANG Huajing, ZHANG Hui   

  1. College of Mathematics and Computer Science,  Anhui Normal University, Wuhu, Anhui 241003, China
  • Online:2015-05-01 Published:2015-05-15

Ω-模糊软环

汤华晶,张  慧   

  1. 安徽师范大学 数计学院,安徽 芜湖 241003

Abstract: The soft set theory is applied to the theory of Ω-fuzzy rings. The notions of Ω-fuzzy soft rings and its intersection and union are presented. Some related properties are discussed. The notions of Ω-fuzzy subrings and soft isomorphism are presented,and its basic properties are discussed.

Key words: fuzzy soft set, Ω-fuzzy soft rings, homomorphism, soft isomorphism

摘要: 将软集理论的概念应用到Ω-模糊环中,提出了Ω-模糊软环的概念,给出了Ω-模糊软环的交与并的定义;探讨了交与并的一些相关性质;讨论了Ω-模糊软环的同态的一些性质,并提出了Ω-模糊软子环和模糊软同构的概念,研究了与其相关的性质。

关键词: 模糊软集, &Omega, -模糊软环, 同态, 软同构