Fuzzy linear programming model for critical path analysis

In this paper, a new fuzzy linear programming model is proposed to find fuzzycritical path and fuzzy completion time of a fuzzy project. All the activities in theproject network are represented by trapezoidal fuzzy numbers. A newrepresentation of trapezoidal fuzzy number is introduced to reduce the constraintsin the fuzzy linear programming model. Further, an example is illustrated whichshows the advantages of using the proposed representation over the existingrepresentation of trapezoidal fuzzy numbers and will present with great clarity theproposed technique and illustrate its application for fuzzy critical path problemsoccurring in real life situations.