Min(Max) – Min(Max) – Max(Min) (∗): Compositions of Neutrosophic Fuzzy Matrices and its Application in Medical Diagnosis

In this article, we introduce two types of compositions in Neutrosophic Fuzzy Matrices
(NFM): max(min) - max(min) - min(max) (◦) and min(max) – min(max) – max(min) ( ∗) compositions.
Using these compositions, we derive several significant results. Additionally, we demonstrate how
to construct idempotent NFM from any given NFM through the min(max) – min(max) – max(min) (
∗) composition. To demonstrate the application of these theoretical findings, a numerical example
is provided. Furthermore, we present an algorithm designed to solve decision-making (DM)
problems using the min(max) – min(max) – max(min) ( ∗) composition. A practical example is
included to highlight the success of the proposed method. Additionally, a practical problem from
our local environment was identified and successfully resolved. A thorough comparative analysis of
the solutions for existing problems was conducted to evaluate their effectiveness in detail. We have
adopted the same example as presented in the composition method used in Mamoni Dhar [50] is
max(min)-min(max)-min(max) (∗). In our analysis, we replaced the score function used in that paper