Linear programming approach for solving fuzzy critical path problems with fuzzy parameters

• To propose a new method for finding the fuzzy optimal solution of fully fuzzy critical path problems.
• To show the validity and the advantages of the propose method over existing methods.
• To illustrate the proposed method by solving numerical problems.
• To show the advantages of JMD representation of LR flat fuzzy numbers over the other representation of LR flat fuzzy numbers.

To the best of our knowledge, there is no method in the literature to find the fuzzy optimal solution of fully fuzzy critical path (FFCP) problems i.e., critical path problems in which all the parameters are represented by LR flat fuzzy numbers. In this paper, a new method is proposed for the same. Also, it is shown that it is better to use JMD representation of LR flat fuzzy numbers in the proposed method as compared to the other representation of LR flat fuzzy numbers.

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