Mathematics and Statistics Vol. 10(6), pp. 1326 - 1333
DOI: 10.13189/ms.2022.100619
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A Study on Intuitionistic Fuzzy Critical Path Problems Through Centroid Based Ranking Method


T. Yogashanthi 1, Shakeela Sathish 1,*, K. Ganesan 2
1 Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, 600089, India
2 Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chennai, 603203, India

ABSTRACT

In this study the intuitionistic fuzzy version of the critical path method has been proposed to solve networking problems with uncertain activity durations. Intuitionistic fuzzy set [1] is an extension of fuzzy set theory [2] unlike fuzzy set, it focuses on degree of belonging, the degree of nonbelonging or non-membership function and the degree of hesitancy which helps the decision maker to adopt the best among the worst cases. Trapezoidal and the triangular intuitionistic fuzzy numbers are utilized to describe the uncertain activity or task durations of the project network. Here trapezoidal and triangular intuitionistic fuzzy numbers are converted into their corresponding parametric form and applying the proposed intuitionistic fuzzy arithmetic operations and a new method of ranking based on the parametric form of intuitionistic fuzzy numbers, the intuitionistic fuzzy critical path with vagueness reduced intuitionistic fuzzy completion duration of the project has been obtained. The authentication of the proposed method can be checked by comparing the obtained results with the results available in pieces of literature.

KEYWORDS
Trapezoidal Intuitionistic Fuzzy Number, Triangular Intuitionistic Fuzzy Number, Left Fuzziness Index, Right Fuzziness Index, Parametric Form, Intuitionistic Fuzzy Project Duration

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] T. Yogashanthi , Shakeela Sathish , K. Ganesan , "A Study on Intuitionistic Fuzzy Critical Path Problems Through Centroid Based Ranking Method," Mathematics and Statistics, Vol. 10, No. 6, pp. 1326 - 1333, 2022. DOI: 10.13189/ms.2022.100619.

(b). APA Format:
T. Yogashanthi , Shakeela Sathish , K. Ganesan (2022). A Study on Intuitionistic Fuzzy Critical Path Problems Through Centroid Based Ranking Method. Mathematics and Statistics, 10(6), 1326 - 1333. DOI: 10.13189/ms.2022.100619.