Title: A new approach for fuzzy critical path analysis

Authors: Amit Kumar, Parmpreet Kaur

Addresses: School of Mathematics and Computer Applications, Thapar University, Patiala-147 004, India. ' School of Mathematics and Computer Applications, Thapar University, Patiala-147 004, India

Abstract: A new method, named as Mehar|s method is proposed to solve fuzzy critical path problems. To show the advantages of the Mehar|s method over an existing method the results of a fuzzy critical path problem, obtained by using the existing and Mehar|s method, are compared. Also, it is shown that although the results, obtained by using the existing and Mehar|s method, are mathematically correct but the obtained and the existing results have no physical meaning. To overcome this shortcoming a new subtraction operation, named as Mehar|s subtraction, is introduced and the Mehar|s method is further modified with Mehar|s subtraction.

Keywords: fuzzy set theory; critical path method; arithmetic operations; trapezoidal fuzzy numbers; fuzzy CPM; fuzzy critical path.

DOI: 10.1504/IJMOR.2011.040030

International Journal of Mathematics in Operational Research, 2011 Vol.3 No.3, pp.341 - 357

Published online: 12 Feb 2015 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article