Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (1): 70-76.

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Intuitionistic Fuzzy β-Coverings InformationSystems and Their Homomorphisms

ZHANG Lijuan, YANG Hailong   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
  • Received:2019-04-09 Online:2020-01-26 Published:2020-01-12
  • Contact: YANG Hailong E-mail:yanghailong@snnu.edu.cn

Abstract: Firstly, we gave the definition of intuitionistic fuzzy mapping  and investigated the invariable properties of intuitionistic fuzzy β-covering under the mapping. Secondly, we gave  the concepts of the mapping about intuitionistic fuzzy sets and intuitionistic fuzzy β-covering compatibility, respectively, and discussed the related properties. Finally, we proposed the concepts of the intuitionistic fuzzy β-covering information system and their homomorphism, and  investigated properties of the homomorphism between the intuitionistic fuzzy β-covering information systems.

Key words: intuitionistic fuzzy mapping, intuitionistic fuzzy β-covering, intuitionistic fuzzy β-covering information system, homomorphism

CLC Number: 

  • O159