TY - JOUR
AU - Nizar Altounji,
AU - Moustafa Mazhar Ranneh,
AU - Mohamed Bisher Zeina,
TI - Foundation of 2-Symbolic Plithogenic Maximum a Posteriori Estimation
PY - 2023/11/01
Y2 - 2024/11/05
JF - Neutrosophic Sets and Systems
JA - Neutrosophic Sets Syst.
VL - 59
SE - SI#1,2024: Neutrosophical Advancements And Their Impact on Research
UR - https://fs.unm.edu/nss8/index.php/111/article/view/3745
SP - 59-74
AB - In this paper, we introduce and define for the first time the plithogenicloss function, plithogenic risk function, plithogenic maximum likelihood function,and plithogenic posterior risk function, which form a base to easily define theplithogenic maximum a posteriori estimator (Plithogenic MAP) and its conditions,algebraic isomorphism was used through equations, and finally, we worked on anexample of a plithogenic random variables sample exponentially distributed witha gamma prior for the parameter distribution and used the quadratic loss function,we found the posterior distribution of the parameter which is also a plithogenicgamma distribution and taken the posterior mean as an estimate of the parameter,such results are similar to the classical case of MAP taking in consideration theplithogenic parts which represent generalized indeterminacy.
ER -