Abstract: In this paper, we introduce the concept of picture fuzzy sets (PFS), which are the direct extensions of fuzzy sets and intuitionistic fuzzy sets. The picture fuzzy sets are more suitable for capturing imprecise, inconsistent and uncertain information. We applied three types ranking using proposed critical path method in which supply, demand and unit costs are taken as picture fuzzy numbers and to find the solution of transportation cost is minimum to compare with different ranking methods. A comparison table is established with results of existing technique and proposed method.