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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Main Authors: S.Gomathy, D. Nagarajan, S. Broumi, M. Lathamaheswari
Format: Article
Language:English
Published: University of New Mexico 2020-11-01
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.
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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