Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path
Network analysis is a technique which determines the various sequences of activities concerning a project and the project completion time. The popular methods of this technique which is widely used are the critical path method and program evaluation and review techniques. The aim of this paper is to...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/952150 |
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| author | P. Jayagowri G. Geetharamani |
| author_facet | P. Jayagowri G. Geetharamani |
| author_sort | P. Jayagowri |
| collection | DOAJ |
| description | Network analysis is a technique which determines the various sequences of activities concerning a project and the project completion time. The popular methods of this technique which is widely used are the critical path method and program evaluation and review techniques. The aim of this paper is to present an analytical method for measuring the criticality in an (Atanassov) intuitionistic fuzzy project network. Vague parameters in the project network are represented by (Atanassov) intuitionistic trapezoidal fuzzy numbers. A metric distance ranking method for (Atanassov) intuitionistic fuzzy numbers to a critical path method is proposed. (Atanassov) Intuitionistic fuzzy critical length of the project network is found without converting the (Atanassov) intuitionistic fuzzy activity times to classical numbers. The fuzzified conversion of the problem has been discussed with the numerical example. We also apply four different ranking procedures and we compare it with metric distance ranking method. Comparison reveals that the proposed ranking method is better than other raking procedures. |
| format | Article |
| id | doaj-art-217e64ea65c94e2aaf7ce16a5ed7e73d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-217e64ea65c94e2aaf7ce16a5ed7e73d2025-08-20T03:54:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/952150952150Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical PathP. Jayagowri0G. Geetharamani1Department of Mathematics, Sudharsan Engineering College, Tamil Nadu 622501, IndiaDepartment of Mathematics, Anna University Chennai, BIT Campus, Tamil Nadu 620024, IndiaNetwork analysis is a technique which determines the various sequences of activities concerning a project and the project completion time. The popular methods of this technique which is widely used are the critical path method and program evaluation and review techniques. The aim of this paper is to present an analytical method for measuring the criticality in an (Atanassov) intuitionistic fuzzy project network. Vague parameters in the project network are represented by (Atanassov) intuitionistic trapezoidal fuzzy numbers. A metric distance ranking method for (Atanassov) intuitionistic fuzzy numbers to a critical path method is proposed. (Atanassov) Intuitionistic fuzzy critical length of the project network is found without converting the (Atanassov) intuitionistic fuzzy activity times to classical numbers. The fuzzified conversion of the problem has been discussed with the numerical example. We also apply four different ranking procedures and we compare it with metric distance ranking method. Comparison reveals that the proposed ranking method is better than other raking procedures.http://dx.doi.org/10.1155/2015/952150 |
| spellingShingle | P. Jayagowri G. Geetharamani Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path Journal of Applied Mathematics |
| title | Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path |
| title_full | Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path |
| title_fullStr | Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path |
| title_full_unstemmed | Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path |
| title_short | Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path |
| title_sort | using metric distance ranking method to find intuitionistic fuzzy critical path |
| url | http://dx.doi.org/10.1155/2015/952150 |
| work_keys_str_mv | AT pjayagowri usingmetricdistancerankingmethodtofindintuitionisticfuzzycriticalpath AT ggeetharamani usingmetricdistancerankingmethodtofindintuitionisticfuzzycriticalpath |