A Novel Approach in Heptapartitioned Neutrosophic Sets with its Weighted Arithmetic Averaging Operator
The aim of this paper is to introduce the heptapartitioned neutrosophic weighted arithmetic averaging operator and also some of its basic algebraic properties of heptapartitioned neutrosophic set. A score and accuracy function of heptapartitioned neutrosophic set has been established. With the propo...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-05-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/56HeptapartitionedNeutrosophic.pdf |
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| author | Sudharani R Chitra Devi D Mahimairaj P Thirunavukkarasu J Jeyanthi L Nagalakshmi T |
| author_facet | Sudharani R Chitra Devi D Mahimairaj P Thirunavukkarasu J Jeyanthi L Nagalakshmi T |
| author_sort | Sudharani R |
| collection | DOAJ |
| description | The aim of this paper is to introduce the heptapartitioned neutrosophic weighted arithmetic averaging operator and also some of its basic algebraic properties of heptapartitioned neutrosophic set. A score and accuracy function of heptapartitioned neutrosophic set has been established. With the proposed score function, accuracy function and averaging operator a multicriterion decision making problem has been solved and ranked with their alternatives by using TOPSIS technique with different weightages which has been compared with the MOORA method. |
| format | Article |
| id | doaj-art-d58bb1f080994e01ba9d4aca72f15fc0 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-d58bb1f080994e01ba9d4aca72f15fc02025-08-25T08:13:21ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-05-018395096410.5281/zenodo.15229798A Novel Approach in Heptapartitioned Neutrosophic Sets with its Weighted Arithmetic Averaging OperatorSudharani RChitra Devi DMahimairaj PThirunavukkarasu J Jeyanthi LNagalakshmi TThe aim of this paper is to introduce the heptapartitioned neutrosophic weighted arithmetic averaging operator and also some of its basic algebraic properties of heptapartitioned neutrosophic set. A score and accuracy function of heptapartitioned neutrosophic set has been established. With the proposed score function, accuracy function and averaging operator a multicriterion decision making problem has been solved and ranked with their alternatives by using TOPSIS technique with different weightages which has been compared with the MOORA method. https://fs.unm.edu/NSS/56HeptapartitionedNeutrosophic.pdfneutrosophic setquadripartitioned neutrosophic setpentapartitioned setheptapartitioned neutrosophic set and mcdm strategy |
| spellingShingle | Sudharani R Chitra Devi D Mahimairaj P Thirunavukkarasu J Jeyanthi L Nagalakshmi T A Novel Approach in Heptapartitioned Neutrosophic Sets with its Weighted Arithmetic Averaging Operator Neutrosophic Sets and Systems neutrosophic set quadripartitioned neutrosophic set pentapartitioned set heptapartitioned neutrosophic set and mcdm strategy |
| title | A Novel Approach in Heptapartitioned Neutrosophic Sets with its Weighted Arithmetic Averaging Operator |
| title_full | A Novel Approach in Heptapartitioned Neutrosophic Sets with its Weighted Arithmetic Averaging Operator |
| title_fullStr | A Novel Approach in Heptapartitioned Neutrosophic Sets with its Weighted Arithmetic Averaging Operator |
| title_full_unstemmed | A Novel Approach in Heptapartitioned Neutrosophic Sets with its Weighted Arithmetic Averaging Operator |
| title_short | A Novel Approach in Heptapartitioned Neutrosophic Sets with its Weighted Arithmetic Averaging Operator |
| title_sort | novel approach in heptapartitioned neutrosophic sets with its weighted arithmetic averaging operator |
| topic | neutrosophic set quadripartitioned neutrosophic set pentapartitioned set heptapartitioned neutrosophic set and mcdm strategy |
| url | https://fs.unm.edu/NSS/56HeptapartitionedNeutrosophic.pdf |
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