Studying Transport Models with the Shortest Time According to the Neutrosophic Logic

Abstract

Time factor plays an important role in many issues, and the most important of these issues
is the issue of transportation, when we need to transport perishable materials such as milk,
medicines ,blood,….. etc. or develop war plans to secure the requirements of battle of
ammunition - food - and soldiers …..etc., at maximum speed, we need a careful scientific
study that enables us to avoid losses, so the researchers studied transport models in the
shortest possible time using the values of classic logic and the best solution for such models
is a specific value subject to increase or decrease because there is nothing certain in the real
reality, all the results of the studies are related to the surrounding conditions of the system
under study, due to the sensitivity of these issues had to be reformulated according to a
science that takes into account all the cases that the system can go through so that we can
take all possible precautions that help us reduce losses and secure the required in the
shortest possible time, we have in This research formulates transport models with the
shortest time and we presented a special way to solve such models using neutrosophic
values, based on the concept of the neutrosophic linear mathematical model, a model that
has something of non-determination (indeterminacy) and we reached transport models with
the shortest time that are considered a generalization of the existing models because they
give us optimal neutrosophic values for time, which are unspecified values ð‘ð‘¡
∗ = ð‘¡
∗ ± ðœ€
where 𜀠is indeterminism and we will take it in the form then become the matrix of
times ð‘ð‘¡
∗ = [ð‘¡
∗ ± ðœ€] , where ð‘ð‘¡
∗
is any neighborhood of ð‘¡
∗
, it should be noted that in
this research when viewing the example we took some transfer times neutrosophic values
of the form ð‘𑡠∈ [ð‘¡1 ,
ð‘¡2
] to be able to clarify the main goal of the research.