A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids
Distance measure is a numerical measurement of the distance between any two objects. The aim of this paper is to propose a new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids with graphical representation. In addition, the metric properties of the proposed measu...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2020-07-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/ANewDistance27.pdf |
| _version_ | 1818352603042414592 |
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| author | Broumi said Malayalan Lathamaheswari Ruipu Tan Deivanayagampillai Nagarajan Talea Mohamed Florentin Smarandache Assia Bakali |
| author_facet | Broumi said Malayalan Lathamaheswari Ruipu Tan Deivanayagampillai Nagarajan Talea Mohamed Florentin Smarandache Assia Bakali |
| author_sort | Broumi said |
| collection | DOAJ |
| description | Distance measure is a numerical measurement of the distance between any two objects.
The aim of this paper is to propose a new distance measure for trapezoidal fuzzy neutrosophic
numbers based on the centroids with graphical representation. In addition, the metric properties of
the proposed measure are examined in detail. A decision making problem also has been solved
using the proposed distance measure for a software selection process. comparative analysis has been
done with the existing methods to show the potential of the proposed distance measure and various
forms of trapezoidal fuzzy neutrosophic number have been listed out to show the uniqueness of the
proposed graphical representation. Further, advantages of the proposed distance measure have
been given. |
| first_indexed | 2024-12-13T18:56:15Z |
| format | Article |
| id | doaj.art-9d1fc5763601467688d40ead956e7dfa |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-13T18:56:15Z |
| publishDate | 2020-07-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-9d1fc5763601467688d40ead956e7dfa2022-12-21T23:34:48ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-07-013547850210.5281/zenodo.3951706A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroidsBroumi said 0Malayalan Lathamaheswari1Ruipu Tan2Deivanayagampillai Nagarajan3Talea Mohamed4Florentin Smarandache5Assia Bakali6Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca, MoroccoDepartment of Mathematics, Hindustan Institute of Technology and Science, Chennai-603 103, India;College of Electronics and Information Science, Fujian Jiangxia University, Fuzhou 350108, China;Department of Mathematics, Hindustan Institute of Technology and Science, Chennai-603 103, India;Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca, MoroccoDepartment of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USAEcole Royale Navale, Boulevard Sour Jdid, B.P 16303 Casablanca, MoroccoDistance measure is a numerical measurement of the distance between any two objects. The aim of this paper is to propose a new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids with graphical representation. In addition, the metric properties of the proposed measure are examined in detail. A decision making problem also has been solved using the proposed distance measure for a software selection process. comparative analysis has been done with the existing methods to show the potential of the proposed distance measure and various forms of trapezoidal fuzzy neutrosophic number have been listed out to show the uniqueness of the proposed graphical representation. Further, advantages of the proposed distance measure have been given.http://fs.unm.edu/NSS/ANewDistance27.pdftrapezoidal fuzzy neutrosophic numbers; centroids; distance measure |
| spellingShingle | Broumi said Malayalan Lathamaheswari Ruipu Tan Deivanayagampillai Nagarajan Talea Mohamed Florentin Smarandache Assia Bakali A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids Neutrosophic Sets and Systems trapezoidal fuzzy neutrosophic numbers; centroids; distance measure |
| title | A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids |
| title_full | A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids |
| title_fullStr | A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids |
| title_full_unstemmed | A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids |
| title_short | A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids |
| title_sort | new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids |
| topic | trapezoidal fuzzy neutrosophic numbers; centroids; distance measure |
| url | http://fs.unm.edu/NSS/ANewDistance27.pdf |
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