Computer Engineering and Applications ›› 2018, Vol. 54 ›› Issue (18): 40-44.DOI: 10.3778/j.issn.1002-8331.1707-0334

Previous Articles     Next Articles

IV-fuzzy ideals in negative non-involutive residuated lattices

LIU Chunhui   

  1. College of Mathematics and Statistics, Chifeng University, Chifeng, Inner Mongolia 024000, China
  • Online:2018-09-15 Published:2018-10-16

否定非对合剩余格的IV-模糊理想

刘春辉   

  1. 赤峰学院 数学与统计学院,内蒙古 赤峰 024000

Abstract: Fuzzy algebra is an important content in the study of fuzzy logic. In order to understand the characteristics of ideal in negative non-involutive residuated lattices, the concept of interval valued fuzzy ideal in negative non-involutive residuated lattice is introduced. The related properties of interval valued fuzzy ideal in negative non-involutive residuated lattice are discussed. Furthermore, it is proved that the intersection, direct product, isomorphic image and homomorphism inverse image of interval valued fuzzy ideal in negative non-involutive residuated lattice are also interval valued fuzzy ideals.

Key words: negative non-involutive residuated lattice, interval valued fuzzy ideal, direct product, homomorphism

摘要: 模糊代数是模糊逻辑的一个重要研究内容。为进一步了解否定非对合剩余格的理想之特性,在否定非对合剩余格中引入了区间值模糊理想概念。讨论了否定非对合剩余格的区间值模糊理想的相关性质。证明了一个否定非对合剩余格的区间值模糊理想的交、直积、同构像和同态原像仍是区间值模糊理想。

关键词: 否定非对合剩余格, 区间值模糊理想, 直积, 同态