On Fuzzy Critical Path Method Based On Ranking Of Various Type-2 Fuzzy Quantities Using Centroid Of Centroids
A. Hari Ganesh1, A. Helen Shobana2
1A. Hari Ganesh, P.G. & Research Department of Mathematics, Poombuhar College (Autonomous), Melaiyur, Nagapattinam, Tamil Nadu, India.
2A. Helen Shobana, P.G. & Research Department of Mathematics, Bon Secours College for Women, Thanjavur, Tamil Nadu, India.
Manuscript received on July 20, 2019. | Revised Manuscript received on August 10, 2019. | Manuscript published on August 30, 2019. | PP: 910-920 | Volume-8 Issue-6, August 2019. | Retrieval Number: F8227088619/2019©BEIESP | DOI: 10.35940/ijeat.F8227.088619
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This paper proposes a simple approach to critical path analysis in a project network with activity times being intervals and which are converted into various Type-2 fuzzy quantities. The idea is based on generalized type-2 trapezoidal, hexagonal and octagonal fuzzy numbers and its ranking. The explicit form of membership functions of the type-2 fuzzy activity times is not required in the proposed approach. Moreover, the method is very simple and the numerical example is given for demonstrating and comparing the proposed approach with generalized type-2 trapezoidal, hexagonal and octagonal fuzzy numbers through proposed ranking function.
Keywords: Fuzzy Critical Path, Generalized Type-2 Hexagonal Fuzzy Number, Generalized Type-2 Octagonal Fuzzy Number, Generalized Type-2 Trapezoidal Fuzzy Number, Ranking Functionss.