J4 ›› 2013, Vol. 48 ›› Issue (10): 99-104.

• Articles • Previous Articles     Next Articles

Fuzzy ideals in Quantic lattices

ZHOU Xin, ZHAO Bin*   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China
  • Received:2013-01-17 Published:2013-10-14

Abstract:

The concepts of fuzzy subquantic lattices, fuzzy ideals and prime fuzzy ideals of a quantic lattice are given. Then  the relationships between fuzzy ideals and fuzzy subquantic lattices are discussed and   the characterizations of fuzzy ideals and prime fuzzy ideals are studied.  It is proved that  every ideal of a quantic lattice can be regarded as a cutset of a fuzzy ideal.

Key words: Quantic lattice; fuzzy subquantic lattice; fuzzy ideal; prime fuzzy ideal

CLC Number: 

  • O153.1
[1] LIANG Shao-Hui, DIAO Ban. Resarches on some properties of a strong FS-Poset [J]. J4, 2009, 44(8): 51-55.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!