During the production process, production companies need to monitor the finished products and ensure their quality, which imposes on them the appointment of inspectors for auditing, and this appointment costs the company amounts that affect the general profit, so it strives to make this cost as low as possible and that the audit process is carried out with high accuracy because in case that the finished products do not conform to the basic specifications of the product, the company is required (...) to pay a fine. In this research, we will formulate the text of the problem appropriately for such a case and then we will build the appropriate mathematical model through which we can obtain the lowest possible cost of inspection, and we will present the study using classical values and neutrosophic values, and we will demonstrate them through an example that shows us the difference between them. (shrink)

This special issue of the journal “Neutrosophic Sets and Systems” compiles a selection of notable works from the IX Ibero-American Biometry Meeting, held in Quito, Ecuador. The collection focuses on the application of neutrosophic and plithogenic approaches to data science and multivariate analysis. The papers explore advanced studies in neutrosophy, which is a branch of philosophy examining the origin, nature, and scope of neutralities. Neutrosophic theory generalizes classic logic by introducing a degree of indeterminacy, alongside degrees of truth and falsity. (...) The articles within this volume demonstrate the application of these concepts to diverse fields, including financial dynamics, psychological treatments, cryptocurrency regulation, sentiment analysis, and the evaluation of public policies. (shrink)

The objective of this paper is to study algebraic properties of neutrosophic matrices, where a necessary and sufficient condition for the invertibility of a square neutrosophic matrix is presented by defining the neutrosophic determinant. On the other hand, this work introduces the concept of neutrosophic Eigen values and vectors with an easy algorithm to compute them. Also, this article finds a necessary and sufficient condition for the diagonalization of a neutrosophic matrix.