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

Author

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  • N. Ravi Shankar

    (GITAM University, Visakhapatnam, AP, India)

  • B. Pardha Saradhi

    (Dr. L.B. College, Visakhapatnam, AP, India)

  • S. Suresh Babu

    (GITAM University, Visakhapatnam, AP, India)

Abstract

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.

Suggested Citation

  • N. Ravi Shankar & B. Pardha Saradhi & S. Suresh Babu, 2013. "Fuzzy Critical Path Method Based on a New Approach of Ranking Fuzzy Numbers using Centroid of Centroids," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 3(2), pages 16-31, April.
    • Handle: RePEc:igg:jfsa00:v:3:y:2013:i:2:p:16-31
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    Cited by:

    1. P. Senthil Kumar, 2016. "PSK Method for Solving Type-1 and Type-3 Fuzzy Transportation Problems," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 5(4), pages 121-146, October.
    2. P. Senthil Kumar, 2018. "A note on 'a new approach for solving intuitionistic fuzzy transportation problem of type-2'," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 29(1), pages 102-129.

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