Abstract:

The pentagonal ranking function is one of the distinctive methods to solve fuzzy problems. The pentagonal membership function for the fuzzy number has been derived and laws have been obtained. The novel ranking pentagonal membership is utilized to solve the fully fuzzy critical path problem. The main aim of the research was to study the Al-Suwayra residential project in Iraq including studying the actual costs of the project and determining the minimum time period to complete it. The fully fuzzy critical path problem was implemented to find the minimum cost and time period to complete the project using the proposed ranking function. The paper includes practical example to find the minimum cost of residential building in the Al-Suwayra area in Iraq, as well as determining the optimal completion time for the project. The proposed technique was applied to the given example with accompanying tables to authenticate the precision of this approach, underscoring the efficiency and dependability of the proposed method. Over and above that, the results obtained were compared with the results of previous research in the literature.