International Journal of Mathematics Trends and Technology
Volume 54 | Number 5 | Year 2018 | Article Id. IJMTT-V54P542 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P542
In operations research, networks play an important role as, quite often, the problem of determining an optimum solution can be looked upon as the problem of selecting the best sequence of operations out of a finite number of available alternatives that can be represented as a network. Network diagram plays a vital role to determine project completion time. Network Scheduling is a technique used for planning and scheduling large projects in the various fields such as construction, fabrication, purchasing etc. Network analysis is a technique which determines the various sequences of activities concerning a project and the project completion time. The popular method of this technique is widely used as the critical path method. In this paper, we find the fuzzy critical path in a acyclic project network using magnitude measure to identify the fuzzy critical path from type-2 trapezoidal fuzzy numbers. An illustrative example is also included to demonstrate our proposed approach.
[1] V.Anusuya and R.Sathya, Type-2 fuzzy shortest path, International Journal of Fuzzy Mathematical Archive, 2 (2013) 36-42.
[2] V.Anusuya and P. Balasowandari , Fuzzy critical path with type-2 trapezoidal fuzzy numbers, National conference on Graph Theory, Fuzzy Graph Theory, and their applications, Jamal Academic Research Journal: An interdisciplinary Special Issue(Feb-2016), pp.171-176.
[3] G. Bortolan,. and R.Degani, , A review of some methods for ranking fuzzy subsets, fuzzy sets and systems, Vol.15, 1985 pp.1-19
[4] S.Chanas and P.Zielinski, Critical path analysis in the network with fuzzy activity times, Fuzzy Sets and Systems, 122 (2001) 195-204.
[5] S.Elizabeth and L.Sujatha, Fuzzy critical path problem for project network, International journal of pure and applied mathematics , 85 (2013) 223-240.
[6] G.S.Liang and T.-Chenhan, Fuzzy critical path project network, Information and Management sciences, 15 (2004) 29-40.
[7] S.H.Nasution, Fuzzy critical path method, IEEE Trans. System Man Cybernetics,24 (1994) 48-57.
[8] J.J.O’Brien, CPM in Construction Management, New York, Mc-Graw-Hill, 1993.
[9] Sugeno,M. “Fuzzy measures and fuzzy integrals-a survey”, In Gupta, saridis and Gaines, 1977,pp.89-102.
[10] S.Yao and FT.Lin, Fuzzy critical path method based on signed distance rankingof fuzzy members, IEEE Transactions on Systems, Man and Cybernetics-Part A:Systems and Humans, 30(1) (2000) 76-82.
[11] L.A.Zadeah, Fuzzy sets, Information and Control, 8 (1965) 138-353.
[12] L.A.Zadeah, The concepts of a linguistic variable and its application to approximate reasoning part 1, 2, 3, Information Sciences, 8 (1975) 199-249; 9 (1976) 43-58.
V.Anusuya, P.Balasowandari, "Fuzzy Critical Path with Various Measures," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 5, pp. 366-370, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P542
PDF 
Abstract 
Keywords 
References 
Citation