Graphs Of BCK-algebras based on fuzzy ideal and fuzzy dual ideal

In this paper , first we define the notions of fuzzy ideal and fuzzy dual ideal in a BCK- algebra (X,*,0). Then by using of congruence classes BCK- algebra (X,*,0), are denoted by ( ) and ( ) respectively. Then, fundamental properties of graph theory such as connectivity, chordality, planarity on the structure of these graphs are studied.

Keywords:

BCK- algebra , Chordal graph , Connected graph , Clique , Planar graph , Girth , Diameter , Fuzzy ideal , Fuzzy dual ideal.