J4 ›› 2011, Vol. 46 ›› Issue (11): 48-52.

• Articles • Previous Articles     Next Articles

Characterizations of fuzzy subinclines, fuzzy ideals, fuzzy filters and fuzzy congruence relations

LIU Lu-lu1, FU Wen-qing2, LI Sheng-gang1*   

  1. 1. College of Mathematics and Information Sciences, Shaanxi Normal University, Xi′an 710062, Shaanxi, China;
    2. Department of Mathematics and Physics, Xi′an Technological University, Xi′an 710032, Shaanxi, China
  • Received:2010-10-18 Online:2011-11-20 Published:2011-11-30

Abstract:

In this paper, the notion of fuzzy filter is defined, and some characterizations of a fuzzy subinclines, fuzzy ideals, fuzzy filters and fuzzy congruence relations are given. It is also proved that [0,1]-SInc (the category of fuzzy subinclines and fuzzy incline homomorphisms) over Inc (the category of inclines and incline homomorphisms) is topological.

Key words: fuzzy subincline; fuzzy ideal; fuzzy filter; fuzzy congruence relation; characterization; topological category

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!