عنوان المقالة:أساسيات المحاكاة النيتروسوفيكية لتوليد أرقام عشوائية مرتبطة بالتوزيع الاحتمالي الموحد Fundamentals of Neutrosophical Simulation for Generating Random Numbers Associated with Uniform Probability Distribution
The simulation process depends on generating a series of random numbers subject to the
uniform probability distribution in the interval [0, 1]. The generation of these numbers is starting
from the cumulative distribution function of the uniform distribution. Through previous studies in
classical logic, we found any random number R0, met with a cumulative distribution function value
equal to R0, but these specific numbers may not have sufficient accuracy, which leads to obtaining
results that are not sufficiently accurate when doing the simulation. To bypass this case, in this
paper, we present a study that enables us to generate as accurate as possible random numbers,
using neutrosophic logic ' this Logic given by American mathematician Florentin Smarandache in
1995'. The first step in the study is, define the cumulative distribution function of the neutrosophic
uniform distribution, depending on definition of the neutrosophic integral and definition of the
neutrosophic uniform distribution. We used the new definition to generate random numbers
subject to a neutrosophic uniform distribution on the interval [0, 1]. The result was that each
random number R0 corresponds to a interval of the distribution function related to R0, So that it
preserves enough precision for the random numbers, and thus we get a more accurate simulation
of any system we want to simulate
أ.د. أحمد سلامة | Prof. Dr. Ahmed Salama | 10317