Two different approaches for consistency of intuitionistic multiplicative preference relation using directed graph

Consistency is an important issue that causes wide public concern of decision makers in the decision-making process. The lack consistency preference relations results a vague solution. main goal this paper to achieve consistent intuitionistic multiplicative relation using graphical approach. We have proposed two different approaches for (IMPR). In first approach, we propose algorithm IMPR by cycles various lengths directed graph. second approach proves isomorphism between IMPRs and asymmetric relations. result explores methodologies developed case achieves Sometimes maker may not be able provide complete reference. So above-said method applied incomplete IMPR; plays role here. examples are provided illustrate both ways all cases.