An Algorithmic Approaches of Solving Fuzzy Critical Path Problem using HaarRanking Octagonal Fuzzy Number Method

Abstract

In a network analysis, find the critical path of the problem is an important techniques which involves planning and control of the large projects that are very complex in nature. Clear identification of each task will help to implement critical path successfully.But in real life situations the time duration cannot be predicted accurately due to   various delay or vagueness while execution of the project. During implementation of the project  one may encounter various delay or vagueness while   execution of the project.Critical path of the network gives an idea of minimum time one may expect to complete the project. Hence  the importance of the critical path play a major role in network analysis. In this paper, the concept of finding fuzzy critical path Haar Octagonal fuzzy number is introduced. New Algebraic arithmetic  of Haar Octagonal fuzzy numbers is also  discussed. A new method  for finding the critical path of the problem is introduced with the help of Floyd - Warshall  Algorithm and Haar Octagonal fuzzy numbers. A  suitable numerical examples are given to demonstrate the above methods.