Plithogenic sets and their application in decision making
There are various mathematical tools available to measure the level of accuracy such as Crisp, Fuzzy, Intuitionistic fuzzy sets and Neutosophic set. Further, Plithogenic set is a generalization of these four sets. This paper aims to test whether Plithogenic aggregation operation is more effective th...
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Format: | Article |
Language: | English |
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University of New Mexico
2020-11-01
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Series: | Neutrosophic Sets and Systems |
Subjects: | |
Online Access: | https://fs.unm.edu/NSS/PlithogenicSetsAndTheirApplication30.pdf |
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author | S.Gomathy D. Nagarajan S. Broumi M. Lathamaheswari |
author_facet | S.Gomathy D. Nagarajan S. Broumi M. Lathamaheswari |
author_sort | S.Gomathy |
collection | DOAJ |
description | There are various mathematical tools available to measure the level of accuracy such as Crisp, Fuzzy, Intuitionistic fuzzy sets and Neutosophic set. Further, Plithogenic set is a generalization of these four sets. This paper aims to test whether Plithogenic aggregation operation is more effective than other sets in its accuracy, while decision making. In order to obtain a better accuracy, the Plithogenic aggregation operation such as Fuzzy set [FS], Intuitionistic fuzzy set [IFS] and Neutrosophic set [NS] used tnorm and tconorm. An illustration is examined in this paper to prove the result of better accuracy using plithogenic aggregation operators in decision making. |
first_indexed | 2024-03-12T22:20:57Z |
format | Article |
id | doaj.art-9786b11e555d44c9bf0a533232798bf3 |
institution | Directory Open Access Journal |
issn | 2331-6055 2331-608X |
language | English |
last_indexed | 2024-03-12T22:20:57Z |
publishDate | 2020-11-01 |
publisher | University of New Mexico |
record_format | Article |
series | Neutrosophic Sets and Systems |
spelling | doaj.art-9786b11e555d44c9bf0a533232798bf32023-07-23T09:28:14ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-11-013845346910.5281/zenodo.4300565Plithogenic sets and their application in decision makingS.GomathyD. NagarajanS. Broumi M. LathamaheswariThere are various mathematical tools available to measure the level of accuracy such as Crisp, Fuzzy, Intuitionistic fuzzy sets and Neutosophic set. Further, Plithogenic set is a generalization of these four sets. This paper aims to test whether Plithogenic aggregation operation is more effective than other sets in its accuracy, while decision making. In order to obtain a better accuracy, the Plithogenic aggregation operation such as Fuzzy set [FS], Intuitionistic fuzzy set [IFS] and Neutrosophic set [NS] used tnorm and tconorm. An illustration is examined in this paper to prove the result of better accuracy using plithogenic aggregation operators in decision making.https://fs.unm.edu/NSS/PlithogenicSetsAndTheirApplication30.pdfplithogenic operatorst-normt-conormfuzzy unionintersection operators |
spellingShingle | S.Gomathy D. Nagarajan S. Broumi M. Lathamaheswari Plithogenic sets and their application in decision making Neutrosophic Sets and Systems plithogenic operators t-norm t-conorm fuzzy union intersection operators |
title | Plithogenic sets and their application in decision making |
title_full | Plithogenic sets and their application in decision making |
title_fullStr | Plithogenic sets and their application in decision making |
title_full_unstemmed | Plithogenic sets and their application in decision making |
title_short | Plithogenic sets and their application in decision making |
title_sort | plithogenic sets and their application in decision making |
topic | plithogenic operators t-norm t-conorm fuzzy union intersection operators |
url | https://fs.unm.edu/NSS/PlithogenicSetsAndTheirApplication30.pdf |
work_keys_str_mv | AT sgomathy plithogenicsetsandtheirapplicationindecisionmaking AT dnagarajan plithogenicsetsandtheirapplicationindecisionmaking AT sbroumi plithogenicsetsandtheirapplicationindecisionmaking AT mlathamaheswari plithogenicsetsandtheirapplicationindecisionmaking |