
In this paper, two different approaches such as ranking value of a fuzzy number approach and a distinct approach to critical path analysis in project networks are presented in a fuzzy environment. In project network, the activity times are uncertain and are represented by interval valued fuzzy numbers (IVFNS) in the work. The corresponding fuzzy arithmetics and fuzzy ranking values of a fuzzy numbers are utilized to determine the fuzzy critical path without converting the fuzzy activity time to classical number. Relevant numerical examples are also included to justify the proposed notions.