计算机工程与应用 ›› 2018, Vol. 54 ›› Issue (9): 54-56.DOI: 10.3778/j.issn.1002-8331.1701-0334

• 理论与研发 • 上一篇    下一篇

坡代数的区间值模糊理想

王丰效   

  1. 喀什大学 数学与统计学院,新疆 喀什 844000
  • 出版日期:2018-05-01 发布日期:2018-05-15

Interval-value fuzzy ideals of incline algebras

WANG Fengxiao   

  1. College of Mathematics and Statistics, Kashigar University, Kashi, Xinjiang 844000, China
  • Online:2018-05-01 Published:2018-05-15

摘要: 模糊子代数是模糊代数的一个重要研究内容。为了进一步了解坡代数的模糊理想的特性,在坡代数中引入了区间值模糊理想概念。讨论了坡代数的区间值模糊理想的相关性质。证明了坡代数的区间值模糊理想的交,直积以及同态像也是区间值模糊理想。

关键词: 坡代数, 区间值模糊理想, 同态, 直积

Abstract: Fuzzy sub-algebra is an important field in the study of fuzzy algebra. In order to understand the characteristics of fuzzy ideal of incline algebras, the concept of interval-valued fuzzy ideals of incline algebra is introduced. The related properties of interval-valued fuzzy ideal in incline algebra are discussed. Furthermore, it is proved that the intersection and homomorphism images and direct product of interval-valued fuzzy ideals in incline algebra are also interval-valued fuzzy ideal.

Key words: incline algebra, I-V fuzzy ideal, homomorphism, direct product