International Journal of Fuzzy Mathematical Archive
  • Year: 2018
  • Volume: 16
  • Issue: 2

Closure Fuzzy Ideals in Distributive Lattices

  • Author:
  • Berhanu Assaye Alaba1, Mihret Alamneh Taye2, Wondwosen Zemene Norahun3
  • Total Page Count: 7
  • Page Number: 49 to 55

1Departement of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia, Email: berhanu_assaye@yahoo.com

2Departement of Mathematics, University of Gondar, Gondar, Ethiopia, mihretmahlet@yahoo.com

3Departement of Mathematics, University of Gondar, Gondar, Ethiopia, Email: wondie1976@gmail.com

AMS Mathematics Subject Classification (2010): 06D72, 08A72, 03E72

Abstract

In this paper, we introduce the concept of closure fuzzy ideals in a distributive lattice. The set of all closure fuzzy ideals of a lattice is isomorphic to the class of fuzzy ideals of the lattice of all dominator ideals. Moreover, a one to one correspondence between the class of all prime closure fuzzy ideals of a lattice and the prime fuzzy ideals of the lattice of all dominator ideals is established.

Keywords

Closure ideal, fuzzy ideal, closure fuzzy ideal