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In this paper, we propose two new views to optimize interval data based critical path problems (IBCPs). To optimize the IBCP problems, first it is converted to three different fuzzy critical path problems with activities being Trapezoidal, Hexagonal and Octagonal Fuzzy Numbers using proposed trisectional, pentasectional and heptasectional approaches of fuzzification. Secondly, the fuzzy numbers are converted to the crisp quantity in support of appropriate proposed method of defuzzificaion using centroid. Additionally, we have made an attempt to analyse the performance of two distinct algorithms for critical path identification and various fuzzy numbers and with help of numerical illustration through these views.

malaya journal of matematik

On optimizing interval data based critical path problem for the analysis of various fuzzy quantities using fuzzification and centroid based defuzzification techniques