A-Lattice Of Fuzzy Subgroups

Abstract

The set of all fuzzy subgroups of a group G will be denoted by F(G).Let  be an equivalence relation on F(G). We denote by   the set of all equivalence classes by . One of the most important problems in fuzzy group theory is to classify the fuzzy subgroups of a group Therefore, several papers have treated the set  for particular case of group. In our paper we have studied this set differently through make it lattice. for this, we mentioned new order relation on  and we have proved many theorems like 3.4, 3.8,3.20 and others.