Interval-value fuzzy ideals of incline algebras

doi:10.3778/j.issn.1002-8331.1701-0334

Abstract

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

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

WANG Fengxiao. Interval-value fuzzy ideals of incline algebras[J]. Computer Engineering and Applications, 2018, 54(9): 54-56.

王丰效. 坡代数的区间值模糊理想[J]. 计算机工程与应用, 2018, 54(9): 54-56.

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Interval-value fuzzy ideals of incline algebras

坡代数的区间值模糊理想

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