An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables
The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications. In this paper, we will extend the TOPSIS method to deal with the int...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2015-03-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.gallup.unm.edu/NSS/An%20Extended%20TOPSIS%20Method%20for%20Multiple.pdf |
| _version_ | 1828910180095492096 |
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| author | Said Broumi Jun Ye Florentin Smarandache |
| author_facet | Said Broumi Jun Ye Florentin Smarandache |
| author_sort | Said Broumi |
| collection | DOAJ |
| description | The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications. In this paper, we will extend the TOPSIS method to deal with the interval neutrosophic uncertain linguistic information, and propose an extended TOPSIS method to solve the multiple attribute decision making problems in which the attribute value takes the form of the interval neutrosophic uncertain linguistic variables and attribute weight is unknown. Firstly, the operational rules and properties for the interval neutrosophic variables are introduced. Then the distance between two interval neutrosophic uncertain linguistic variables is proposed and the attribute weight is calculated by the maximizing deviation method, and the closeness coefficients to the ideal solution for each alternatives. Finally, an illustrative example is given to illustrate the decision making steps and the effectiveness of the proposed method. |
| first_indexed | 2024-12-13T18:38:12Z |
| format | Article |
| id | doaj.art-154229e45a3e4e84a07d792c2d1a7473 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-13T18:38:12Z |
| publishDate | 2015-03-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-154229e45a3e4e84a07d792c2d1a74732022-12-21T23:35:17ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2015-03-0182231An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic VariablesSaid Broumi0Jun Ye1Florentin Smarandache2University of Hassan II, Casablanca, MoroccoShaoxing University, ChinaUniversity of New Mexico, USAThe interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications. In this paper, we will extend the TOPSIS method to deal with the interval neutrosophic uncertain linguistic information, and propose an extended TOPSIS method to solve the multiple attribute decision making problems in which the attribute value takes the form of the interval neutrosophic uncertain linguistic variables and attribute weight is unknown. Firstly, the operational rules and properties for the interval neutrosophic variables are introduced. Then the distance between two interval neutrosophic uncertain linguistic variables is proposed and the attribute weight is calculated by the maximizing deviation method, and the closeness coefficients to the ideal solution for each alternatives. Finally, an illustrative example is given to illustrate the decision making steps and the effectiveness of the proposed method.http://fs.gallup.unm.edu/NSS/An%20Extended%20TOPSIS%20Method%20for%20Multiple.pdfinterval neutrosophic linguisticmultiple attribute decision makingTOPSIS |
| spellingShingle | Said Broumi Jun Ye Florentin Smarandache An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables Neutrosophic Sets and Systems interval neutrosophic linguistic multiple attribute decision making TOPSIS |
| title | An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables |
| title_full | An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables |
| title_fullStr | An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables |
| title_full_unstemmed | An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables |
| title_short | An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables |
| title_sort | extended topsis method for multiple attribute decision making based on interval neutrosophic uncertain linguistic variables |
| topic | interval neutrosophic linguistic multiple attribute decision making TOPSIS |
| url | http://fs.gallup.unm.edu/NSS/An%20Extended%20TOPSIS%20Method%20for%20Multiple.pdf |
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