International Journal of Neutrosophic Science
IJNS
2690-6805
2692-6148
10.54216/IJNS
https://www.americaspg.com/journals/show/1658
2020
2020
Applications of Extended Plithogenic Sets in Plithogenic Sociogram
School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India
S
S.Sudha
Department of Mathematics, Arul Anandar College(Autonomous),Karumathur, Tamil Nadu, India
Nivetha
Martin
University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
Florentin
Smarandache
The theory of plithogeny developed by Smarandache is described as a more generalized form of representing sets of different nature such as crisp, fuzzy, intuitionistic and neutrosophic. Plithogenic set comprises degree of appurtenance and contradiction degree with respect only to the dominant attribute. This paper introduces extended plithogenic sets comprising degrees of appurtenance and contradiction with respect to both dominant and recessive attributes. The extension of the 5-tuple Plithogenic sets to a 7- tuple plithogenic sets helps in developing a more comprehensive kind of Plithogenic sociogram. The newly developed plithogenic sets and its implications in Plithogenic sociogram is validated by the decision making problem on food processing industries. The obtained results using extended plithogenic sets are more promising in comparison to the conventional plithogenic sets. The proposed kind of plithogenic sets will benefit the decision makers to make optimal decisions based on both optimistic and pessimistic approaches.
2023
2023
08
35
10.54216/IJNS.200401
https://www.americaspg.com/articleinfo/21/show/1658