A Study on Fuzzy Critical Path Method Based On Metric Distance Ranking Of Fuzzy Numbers with Conventional Method

V.Pusparaj; P. John Paul

doi:https://doi.org/10.14445/22315373/IJMTT-V40P528

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 40 | Number 3 | Year 2016 | Article Id. IJMTT-V40P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P528

A Study on Fuzzy Critical Path Method Based On Metric Distance Ranking Of Fuzzy Numbers with Conventional Method

V.Pusparaj, P. John Paul

Abstract

In this paper Algorithm is presented to perform critical path method in a fuzzy environment. The trapezoidal fuzzy number given by decision makers or characterized by historical data are utilized to assess the activity time in a project network. The fuzzy shortest path problem thus obtained is compared with conventional method.

Keywords

Critcal path method, Metric distance, Trapezoidal fuzzy number, Triangular Fuzzy number.

References

[1] N. Ravi Shankar, V. Sireesha, K. Srinivasa Rao and N. Vani, Fuzzy Critical Path Method Based on Metric Distance Ranking of Fuzzy Numbers, International Journal of Math. Analysis, Vol. 4, (2010), no.20, 995 – 1006.
[2] D. Dubois, H. Fargier, V. Galvagonon, On latest starting times and floats in task networks with ill-known durations European Journal of Operational Research 147 (2003) 266-310.
[3] F. S. Hillier, G. J. Lieberman, Introduction to Operations Research, seventh edition, McGraw-Hill, 2001.
[4] S. Chanas, P. Zielinski, Critical path analysis in the network with fuzzy activity times, Fuzzy sets and Systems 122 (2001) 195-204. [5] L. A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and System1. (1978) 3-28.
[6] I. Slyeptosov, T. A. Tyshchuk, Fuzzy temporal characteristics of operations for project management on the network models basis, European Journal of Operations Research 147 (2003) 253-265.
[7] P. Zielinski, On computing the latest starting times and floats of activities in a network with imprecise durations, Fuzzy Sets and Systems 150 (2005) 53-76.
[8] Chen SM, A new approach to handling fuzzy decision making prolems. IEEE Trans Syst Man Cybern 18 (1988) 1012-1016.
[9] Chen SM, A weighted fuzzy reasoning algorithm for medical diagnosis. Decis Support Syst 11(1994) 37-43.
[10] Zadeh LA (1965) Fuzzy sets. Inf Control 8 : 338-353.
[11] Zimmermann HJ (1991) Fuzzy set theory and it’s applications. Kluwer publications, The Netherlands.
[12] Chen LS, Cheng CH (2005) Selecting IS personnel using ranking fuzzy number by metric distance method. European Journal of Operational research 160 (3) : 803-820.
[13] N. Ravi Shankar, V. Sireesha, Phani Bushan Rao (2010) An Analytical Method for Finding Critical Path in a Fuzzy Project Network. International Journal of Contemporary Mathematical Sciences, 5 (20) : 953-962.
[14] Yao JS, Lin FT (2000) Fuzzy Critical Path Method Based on Signed Distance Ranking of Fuzzy Numbers, IEEE Transactions on systems, Man and Cybernetics- Part A : Systems and Humans, 30(1) : 76-82.
[15] 1.M.Ananthanarayan and R.sattanathan , A study on comparison between fuzzy critical path with conventional method, ultra science vol.21(1)M,19-24(2009)

Citation :

V.Pusparaj, P. John Paul, "A Study on Fuzzy Critical Path Method Based On Metric Distance Ranking Of Fuzzy Numbers with Conventional Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 3, pp. 230-236, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P528