Determining project characteristics and critical path by a new approach based on modified NWRT method and risk assessment under an interval type-2 fuzzy environment

Abstract

Considering the important role of risks in real-world projects and the ability of Interval Type-2 Fuzzy Sets (IT2FSs) to tackle uncertainty, this study introduces a new approach to consider risks and the correlation among risk factors by subjective judgment of experts on the probability and impact under IT2FSs. Furthermore, a new impact function used for considering the correlation among the risk factors is extended under an IT2F environment. Moreover, a new subtraction operator is introduced for the critical path analysis. The Node-Weighted Rooted Tree (NWRT) method is modi ed based on the proposed new operator to avoid producing negative number for characteristics of each activity. In addition, in order to deal with the uncertainty of the projects, NWRT method is developed under the IT2FSs. Finally, to illustrate the validity and capability of the proposed method, two examples derived from the literature are solved and compared.

Using Interval Parameters for Latest Start Time and Mission Floats Operation Networks

“…Senouci et al [26] introduced schedule performance index effectiveness in assessing project schedule performance. Dorfeshan et al [27] have determinized project characteristics and critical path by a new approach based on modified NWRT method and risk assessment under an interval type-2 fuzzy environment. Ramesh et al [28] have developed a study on interval PERT/CPM network problems.…”

A Type-2 Fuzzy Optimization Model for Project Portfolio Selection and Scheduling Incorporating Project Interdependency and Splitting

“…Because of various kinds of complexities in reality, project managers cannot always define the exact membership function to show an uncertain boundary by type-1 fuzzy sets (T1FSs). Therefore, type-2 fuzzy set (T2FS) is used to pass on the vulnerability in the membership function and enables further degrees of freedom as compared to T1FS, by regarding remarkable engineering applications (e.g., Mirnezami et al, 2020;Mohagheghi et al, 2020;Haghighi et al, 2019a;Eshghi et al, 2019;Dorfeshan et al, 2019). Chen and Askin (2009) presented a mixed-integer programming model aiming at maximizing economic issue by hiring an approach to deal with the problem.…”

A Combinatorial Optimization Solution for Activity Prioritizing Problem

“…It is clear that this challenge is not affected by duration of activities. Instead, several factors likely influence the priorities, such as project' owner view, program and project manager' ideas, risk factors [4], etc. In this regard, the role of project manager and project experts have been addressed as fundamental dimensions for the project success [5], although this fact has been ignores by the literature [6,7].…”