Using Trapezoidal Intuitionistic Fuzzy Number to Find Optimized Path in a Network
In real life, information available on situations/issues/problems is vague, inexact, or insufficient and so the parameters involved therein are grasped in an uncertain way by the decision maker. But in real life such uncertainty is unavoidable. One possible way out is to consider the knowledge of ex...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2014/183607 |
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| author | P. Jayagowri G. Geetha Ramani |
| author_facet | P. Jayagowri G. Geetha Ramani |
| author_sort | P. Jayagowri |
| collection | DOAJ |
| description | In real life, information available on situations/issues/problems is vague, inexact, or insufficient and so the parameters involved therein are grasped in an uncertain way by the decision maker. But in real life such uncertainty is unavoidable. One possible way out is to consider the knowledge of experts about the parameters involved as fuzzy data. In a network, the arc length may represent time or cost. In Relevant literature reports there are several methods to solve such problems in network-flow. This paper proposes an optimized path for use in networks, using trapezoidal intuitionistic fuzzy numbers, assigned to each arc length in a fuzzy environment. It proposes a new algorithm to find the optimized path and implied distance from source node to destination node. |
| format | Article |
| id | doaj-art-4fc479f2f3a54323960deb5e9488e1d7 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-4fc479f2f3a54323960deb5e9488e1d72025-02-03T01:21:56ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2014-01-01201410.1155/2014/183607183607Using Trapezoidal Intuitionistic Fuzzy Number to Find Optimized Path in a NetworkP. Jayagowri0G. Geetha Ramani1Department of Mathematics, Sudharsan Engineering College, Pudukkottai, Tamil Nadu 622501, IndiaDepartment of Mathematics, Anna University Chennai, BIT Campus, Tamil Nadu 620 024, IndiaIn real life, information available on situations/issues/problems is vague, inexact, or insufficient and so the parameters involved therein are grasped in an uncertain way by the decision maker. But in real life such uncertainty is unavoidable. One possible way out is to consider the knowledge of experts about the parameters involved as fuzzy data. In a network, the arc length may represent time or cost. In Relevant literature reports there are several methods to solve such problems in network-flow. This paper proposes an optimized path for use in networks, using trapezoidal intuitionistic fuzzy numbers, assigned to each arc length in a fuzzy environment. It proposes a new algorithm to find the optimized path and implied distance from source node to destination node.http://dx.doi.org/10.1155/2014/183607 |
| spellingShingle | P. Jayagowri G. Geetha Ramani Using Trapezoidal Intuitionistic Fuzzy Number to Find Optimized Path in a Network Advances in Fuzzy Systems |
| title | Using Trapezoidal Intuitionistic Fuzzy Number to Find Optimized Path in a Network |
| title_full | Using Trapezoidal Intuitionistic Fuzzy Number to Find Optimized Path in a Network |
| title_fullStr | Using Trapezoidal Intuitionistic Fuzzy Number to Find Optimized Path in a Network |
| title_full_unstemmed | Using Trapezoidal Intuitionistic Fuzzy Number to Find Optimized Path in a Network |
| title_short | Using Trapezoidal Intuitionistic Fuzzy Number to Find Optimized Path in a Network |
| title_sort | using trapezoidal intuitionistic fuzzy number to find optimized path in a network |
| url | http://dx.doi.org/10.1155/2014/183607 |
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