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Journal of Applied Mathematics
Volume 2015 (2015), Article ID 952150, 12 pages
http://dx.doi.org/10.1155/2015/952150
Research Article

Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path

1Department of Mathematics, Sudharsan Engineering College, Tamil Nadu 622501, India
2Department of Mathematics, Anna University Chennai, BIT Campus, Tamil Nadu 620024, India

Received 1 April 2015; Revised 4 June 2015; Accepted 28 June 2015

Academic Editor: Humberto Bustince

Copyright © 2015 P. Jayagowri and G. Geetharamani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. A. Zadeh, “Fuzzy set,” Information and Control, vol. 8, pp. 338–353, 1965. View at Google Scholar
  2. S. Chanas and P. Zieliński, “Critical path analysis in the network with fuzzy activity times,” Fuzzy Sets and Systems, vol. 122, no. 2, pp. 195–204, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  3. S. Chanas and J. Kamburowski, “The use of fuzzy variables in PERT,” Fuzzy Sets and Systems, vol. 5, no. 1, pp. 11–19, 1981. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. C.-T. Chen and S.-F. Huang, “Applying fuzzy method for measuring criticality in project network,” Information Sciences, vol. 177, no. 12, pp. 2448–2458, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. J.-S. Yao and F.-T. Lin, “Fuzzy critical path method based on signed distance ranking of fuzzy numbers,” IEEE Transactions on Systems, Man, and Cybernetics—Part A: Systems and Humans, vol. 30, no. 1, pp. 76–82, 2000. View at Publisher · View at Google Scholar · View at Scopus
  6. A. I. Slyeptsov and T. A. Tyshchuk, “Fuzzy critical path method for project network planning and control,” Cybernetics and System Analysis, vol. 3, pp. 158–170, 1997. View at Google Scholar
  7. S. H. Nasution, “Fuzzy critical path method,” IEEE Transactions on Systems, Man and Cybernetics, vol. 24, no. 1, pp. 48–57, 1994. View at Publisher · View at Google Scholar · View at Scopus
  8. N. Ravi Shankar, V. Sireesha, and P. Phani Bushan Rao, “An analytical method for finding critical path in a fuzzy project network,” International Journal of Contemporary Mathematical Sciences, vol. 5, no. 20, pp. 953–962, 2010. View at Google Scholar · View at MathSciNet
  9. S. Elizabeth and L. Sujatha, “Fuzzy critical path problem for project network,” International Journal of Pure and Applied Mathematics, vol. 85, no. 2, pp. 223–240, 2013. View at Publisher · View at Google Scholar · View at Scopus
  10. S. Elizabeth and L. Sujatha, “Project scheduling method using triangular intuitionistic fuzzy numbers and triangular fuzzy numbers,” Applied Mathematical Sciences, vol. 9, no. 1–4, pp. 185–198, 2015. View at Publisher · View at Google Scholar · View at Scopus
  11. K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87–96, 1986. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. S. Rezvani, “Ranking method of trapezoidal intuitionistic fuzzy numbers,” Annals of Fuzzy Mathematics and Informatics, vol. 5, no. 3, pp. 515–523, 2013. View at Google Scholar · View at MathSciNet
  13. D.-F. Li, “A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems,” Computers & Mathematics with Applications, vol. 60, no. 6, pp. 1557–1570, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. P. K. De and D. Das, “A study on ranking of trapezoidal intuitionistic fuzzy numbers,” International Journal of Computer Information Systems and Industrial Management Applications, vol. 6, pp. 437–444, 2014. View at Google Scholar
  15. P. Jayagowri and G. Geetharamani, “Using similarity degree approach for shortest path in intuitionistic fuzzy network,” in Proceedings of the International Conference on Computing, Communication and Applications (ICCCA '12), pp. 1–6, IEEE, Dindigul, India, February 2012. View at Publisher · View at Google Scholar · View at Scopus
  16. P. Jayagowri and G. Geetharamani, “A new approach to shortest paths in intuitionistic trapezoidal fuzzy numbers,” Pensee Journal, vol. 76, no. 1, pp. 22–30, 2014. View at Google Scholar
  17. P. Jayagowri and G. Geetharamani, “A critical path problem using intuitionistic trapezoidal fuzzy number,” Applied Mathematical Sciences, vol. 8, no. 52, pp. 2555–2562, 2014. View at Publisher · View at Google Scholar · View at Scopus
  18. D. Dubois and H. Prade, Possibility Theory: an Approach to Computerized Processing of Uncertainty, Plenum Press, New York, NY, USA, 1988. View at Publisher · View at Google Scholar · View at MathSciNet