Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications
In this paper, we introduce the concept of neutrosophic number from different viewpoints. We define different types of linear and non-linear generalized triangular neutrosophic numbers which are very important for uncertainty theory. We introduced the de-neutrosophication concept for neutrosophic nu...
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| Format: | Article |
| Language: | English |
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MDPI
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/72296/ http://psasir.upm.edu.my/id/eprint/72296/1/Different%20forms%20of%20triangular%20neutrosophic%20numbers.pdf |
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| author | Chakraborty, Avishek Mondal, Sankar Prasad Hosseini, Seyedali Ahmadian Senu, Norazak Alam, Shariful Salahshour, Soheil |
| author_facet | Chakraborty, Avishek Mondal, Sankar Prasad Hosseini, Seyedali Ahmadian Senu, Norazak Alam, Shariful Salahshour, Soheil |
| author_sort | Chakraborty, Avishek |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we introduce the concept of neutrosophic number from different viewpoints. We define different types of linear and non-linear generalized triangular neutrosophic numbers which are very important for uncertainty theory. We introduced the de-neutrosophication concept for neutrosophic number for triangular neutrosophic numbers. This concept helps us to convert a neutrosophic number into a crisp number. The concepts are followed by two application, namely in imprecise project evaluation review technique and route selection problem. |
| first_indexed | 2025-11-15T11:51:56Z |
| format | Article |
| id | upm-72296 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:51:56Z |
| publishDate | 2018 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-722962020-05-02T06:16:56Z http://psasir.upm.edu.my/id/eprint/72296/ Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications Chakraborty, Avishek Mondal, Sankar Prasad Hosseini, Seyedali Ahmadian Senu, Norazak Alam, Shariful Salahshour, Soheil In this paper, we introduce the concept of neutrosophic number from different viewpoints. We define different types of linear and non-linear generalized triangular neutrosophic numbers which are very important for uncertainty theory. We introduced the de-neutrosophication concept for neutrosophic number for triangular neutrosophic numbers. This concept helps us to convert a neutrosophic number into a crisp number. The concepts are followed by two application, namely in imprecise project evaluation review technique and route selection problem. MDPI 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/72296/1/Different%20forms%20of%20triangular%20neutrosophic%20numbers.pdf Chakraborty, Avishek and Mondal, Sankar Prasad and Hosseini, Seyedali Ahmadian and Senu, Norazak and Alam, Shariful and Salahshour, Soheil (2018) Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications. Symmetry-Basel, 10 (8). pp. 1-27. ISSN 2073-8994; ESSN: 2073-8994 https://www.mdpi.com/2073-8994/10/8/327 10.3390/sym10080327 |
| spellingShingle | Chakraborty, Avishek Mondal, Sankar Prasad Hosseini, Seyedali Ahmadian Senu, Norazak Alam, Shariful Salahshour, Soheil Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications |
| title | Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications |
| title_full | Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications |
| title_fullStr | Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications |
| title_full_unstemmed | Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications |
| title_short | Different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications |
| title_sort | different forms of triangular neutrosophic numbers, de-neutrosophication techniques, and their applications |
| url | http://psasir.upm.edu.my/id/eprint/72296/ http://psasir.upm.edu.my/id/eprint/72296/ http://psasir.upm.edu.my/id/eprint/72296/ http://psasir.upm.edu.my/id/eprint/72296/1/Different%20forms%20of%20triangular%20neutrosophic%20numbers.pdf |