Critical Path Method for Z-fuzzy Numbers

2021 ◽  
pp. 871-878
Author(s):  
Ewa Marchwicka ◽  
Dorota Kuchta
Keyword(s):  
Fuzzy Numbers ◽  
Critical Path ◽  
Critical Path Method

Fuzzy Critical Path Method Based on a New Approach of Ranking Fuzzy Numbers using Centroid of Centroids

2013 ◽  
Vol 3 (2) ◽  
pp. 16-31 ◽  
Author(s):  
N. Ravi Shankar ◽  
B. Pardha Saradhi ◽  
S. Suresh Babu
Keyword(s):  
Fuzzy Numbers ◽  
Critical Path ◽  
Successful Implementation ◽  
Critical Path Method ◽  
Time Duration ◽  
New Approach ◽  
Planning And Control ◽  
Complex Projects ◽  
And Control ◽  
First Time

The Critical Path Method (CPM) is useful for planning and control of complex projects. The CPM identifies the critical activities in the critical path of an activity network. The successful implementation of CPM requires the availability of clear determined time duration for each activity. However, in practical situations this requirement is usually hard to fulfil since many of activities will be executed for the first time. Hence, there is always uncertainty about the time durations of activities in the network planning. This has led to the development of fuzzy CPM. In this paper, a new approach of ranking fuzzy numbers using centroid of centroids of fuzzy numbers to its distance from original point is proposed. The proposed method can rank all types of fuzzy numbers including crisp numbers with different membership functions. The authors apply the proposed ranking method to develop a new fuzzy CPM. The proposed method is illustrated with an example.

scholarly journals Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
P. Jayagowri ◽  
G. Geetharamani
Keyword(s):  
Fuzzy Numbers ◽  
Critical Path ◽  
Method Comparison ◽  
Critical Length ◽  
Ranking Method ◽  
Critical Path Method ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Project Network ◽  
Metric Distance

Network analysis is a technique which determines the various sequences of activities concerning a project and the project completion time. The popular methods of this technique which is widely used are the critical path method and program evaluation and review techniques. The aim of this paper is to present an analytical method for measuring the criticality in an (Atanassov) intuitionistic fuzzy project network. Vague parameters in the project network are represented by (Atanassov) intuitionistic trapezoidal fuzzy numbers. A metric distance ranking method for (Atanassov) intuitionistic fuzzy numbers to a critical path method is proposed. (Atanassov) Intuitionistic fuzzy critical length of the project network is found without converting the (Atanassov) intuitionistic fuzzy activity times to classical numbers. The fuzzified conversion of the problem has been discussed with the numerical example. We also apply four different ranking procedures and we compare it with metric distance ranking method. Comparison reveals that the proposed ranking method is better than other raking procedures.

scholarly journals Interval network analysis in project management

2020 ◽  
Vol 7 (2) ◽  
pp. 99-113
Author(s):  
Radhakrishnan S ◽  
Saikeerthana D
Keyword(s):  
Project Management ◽  
Network Analysis ◽  
Fuzzy Numbers ◽  
Critical Path ◽  
Critical Path Method ◽  
Project Duration ◽  
Numerical Examples ◽  
Trapezoidal Fuzzy Numbers ◽  
Project Network ◽  
Fuzzy Parameters

This paper deals with an analysis of Critical Path Method (CPM) and Programme Evaluation Review Technique (PERT) in Project Network. Here, we solve the PERT and CPM methodology using intervals and we determine the critical path and project duration of the network. We can also convert the fuzzy parameters (triangular and trapezoidal fuzzy numbers) into intervals using α − cuts. After which, we calculate the project duration and critical path. To illustrate this, numerical examples are provided.

Fuzzy Critical Path Method Based on a New Approach of Ranking Fuzzy Numbers Using Centroid of Centroids

Fuzzy Systems ◽  
2017 ◽  
pp. 1690-1707
Author(s):  
N. Ravi Shankar ◽  
B. Pardha Saradhi ◽  
S. Suresh Babu
Keyword(s):  
Fuzzy Numbers ◽  
Critical Path ◽  
Successful Implementation ◽  
Critical Path Method ◽  
Time Duration ◽  
New Approach ◽  
Planning And Control ◽  
Complex Projects ◽  
And Control ◽  
First Time

The Critical Path Method (CPM) is useful for planning and control of complex projects. The CPM identifies the critical activities in the critical path of an activity network. The successful implementation of CPM requires the availability of clear determined time duration for each activity. However, in practical situations this requirement is usually hard to fulfil since many of activities will be executed for the first time. Hence, there is always uncertainty about the time durations of activities in the network planning. This has led to the development of fuzzy CPM. In this paper, a new approach of ranking fuzzy numbers using centroid of centroids of fuzzy numbers to its distance from original point is proposed. The proposed method can rank all types of fuzzy numbers including crisp numbers with different membership functions. The authors apply the proposed ranking method to develop a new fuzzy CPM. The proposed method is illustrated with an example.

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