Triangular fuzzy quadripartitioned neutrosophic set and its properties
The main objective of the paper is to hybridize the triangular fuzzy number and the quadripartitioned neutrosophic set and develop the triangular fuzzy quadripartitioned neutrosophic set. The triangular fuzzy numbers have great potential to express uncertainty systematically. So, the combination of...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-01-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/TriangularFuzzy2%20.pdf |
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| _version_ | 1849737232896753664 |
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| author | Tanmoy Chatterjee Surapati Pramanik |
| author_facet | Tanmoy Chatterjee Surapati Pramanik |
| author_sort | Tanmoy Chatterjee |
| collection | DOAJ |
| description | The main objective of the paper is to hybridize the triangular fuzzy number and the quadripartitioned neutrosophic set and develop the triangular fuzzy quadripartitioned neutrosophic set. The triangular fuzzy numbers have great potential to express uncertainty systematically. So, the combination of the triangular fuzzy numbers and quadripartitioned neutrosophic sets is an intelligent mathematical tool that will be a helpful mathematical tool for decision-making. We define some operations on the triangular fuzzy quadripartitioned neutrosophic sets such as union, intersection, and complement. We establish some important theorems on operations like union, intersection in between three triangular fuzzy quadripartitioned neutrosophic sets in an elaborate way. We have defined unity and null triangular fuzzy quadripartitioned neutrosophic sets and established some mathematical operations on them. We establish some fundamental properties of the developed triangular fuzzy quadripartitioned neutrosophic sets. |
| format | Article |
| id | doaj-art-0a08b1e2c00a4006a10be1b0a7ba2a4d |
| institution | DOAJ |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-0a08b1e2c00a4006a10be1b0a7ba2a4d2025-08-20T03:06:58ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-01-0175152810.5281/zenodo.13932302Triangular fuzzy quadripartitioned neutrosophic set and its propertiesTanmoy ChatterjeeSurapati PramanikThe main objective of the paper is to hybridize the triangular fuzzy number and the quadripartitioned neutrosophic set and develop the triangular fuzzy quadripartitioned neutrosophic set. The triangular fuzzy numbers have great potential to express uncertainty systematically. So, the combination of the triangular fuzzy numbers and quadripartitioned neutrosophic sets is an intelligent mathematical tool that will be a helpful mathematical tool for decision-making. We define some operations on the triangular fuzzy quadripartitioned neutrosophic sets such as union, intersection, and complement. We establish some important theorems on operations like union, intersection in between three triangular fuzzy quadripartitioned neutrosophic sets in an elaborate way. We have defined unity and null triangular fuzzy quadripartitioned neutrosophic sets and established some mathematical operations on them. We establish some fundamental properties of the developed triangular fuzzy quadripartitioned neutrosophic sets.https://fs.unm.edu/NSS/TriangularFuzzy2%20.pdffuzzy set; neutrosophic setsingle-valued neutrosophic setquadripartitioned neutrosophic settriangular fuzzy neutrosophic set |
| spellingShingle | Tanmoy Chatterjee Surapati Pramanik Triangular fuzzy quadripartitioned neutrosophic set and its properties Neutrosophic Sets and Systems fuzzy set; neutrosophic set single-valued neutrosophic set quadripartitioned neutrosophic set triangular fuzzy neutrosophic set |
| title | Triangular fuzzy quadripartitioned neutrosophic set and its properties |
| title_full | Triangular fuzzy quadripartitioned neutrosophic set and its properties |
| title_fullStr | Triangular fuzzy quadripartitioned neutrosophic set and its properties |
| title_full_unstemmed | Triangular fuzzy quadripartitioned neutrosophic set and its properties |
| title_short | Triangular fuzzy quadripartitioned neutrosophic set and its properties |
| title_sort | triangular fuzzy quadripartitioned neutrosophic set and its properties |
| topic | fuzzy set; neutrosophic set single-valued neutrosophic set quadripartitioned neutrosophic set triangular fuzzy neutrosophic set |
| url | https://fs.unm.edu/NSS/TriangularFuzzy2%20.pdf |
| work_keys_str_mv | AT tanmoychatterjee triangularfuzzyquadripartitionedneutrosophicsetanditsproperties AT surapatipramanik triangularfuzzyquadripartitionedneutrosophicsetanditsproperties |