A METHOD FOR FINDING CRITICAL PATH WITH SYMMETRIC OCTAGONAL INTUITIONISTIC FUZZY NUMBERS

N. Rameshan, D.S. Dinagar

  DOI:  https://doi.org/10.37418/amsj.9.11.32

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The concept of this paper represents finding fuzzy critical path using octagonal fuzzy number. In project scheduling, a new method has been approached to identify the critical path by using Symmetric Octagonal Intuitionistic Fuzzy Number (SYMOCINTFN). For getting a better solution, we use the fuzzy octagonal number rather than other fuzzy numbers. The membership functions of the earliest and latest times of events are by calculating lower and upper bounds of the earliest and latest times considering octagonal fuzzy duration. The resulting conditions omit the negative and infeasible solution. The membership function takes up an essential role in finding a new solution. Based on membership function, fuzzy number can be identified in different categories such as Triangular, Trapezoidal, pentagonal, hexagonal, octagonal, decagonal, hexa decagonal fuzzy numbers etc.

A suitable numerical illustration is given to understand the superiority of the proposed algorithm and methods.

Keywords: Octagonal fuzzy number (OCFN), Octagonal Intuitionistic Fuzzy Number (OCINTFN), Symmetric Octagonal Intuitionistic Fuzzy Number (SYMOCINTFN), Critical Path Method (CPM), Fuzzy Project network, Fuzzy Ranking method.