International Journal of Neutrosophic Science

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

A Short Note on Some Novel Applications of Semi Module Homomorphisms

Mohammad Abobala , Mikail Bal , Malath Aswad

In this paper, we study the algebraic relationships between n- refined neutrosophic modules by using semi-module homomorphisms. On the other hand, this work shows the relationship between neutrosophic geometrical AH-isometry and semi-module isomorphisms. 

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Vol. 18 Issue. 1 PP. 08-13, (2022)

A Study of Some Neutrosophic Clean Rings

Mohammad Abobala , Mikail Bal , Ahmed Hatip

The objective of this paper is to introduce a necessary and sufficient condition for a neutrosophic ring to be clean. This work proves the equivalence between case of classical clean ring R and the corresponding neutrosophic ring R(I), refined neutrosophic ring R(I_1,I_2 ), and n-refined neutrosophic ring R_n (I).

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Vol. 18 Issue. 1 PP. 14-19, (2022)

Neutrosophic Treatment of the Static Model of Inventory Management with Deficit

Maissam Jdid , A. A. Salama , Rafif Alhabib , Huda E. Khalid , Fatima Al Suleiman

In this article, when the inability to manage inventory is allowed in exchange for certain fines, managers can then allow the remaining stock to run out and accumulation the order until compensation is reinstated.  The idea depends on the amount of stock deficit, which could be small in comparison to the storage cost. This refers to inventory models with deficits and is used to store damageable material. To manage these models, deficit costs should pair with storage costs by applying a mathematical model that illustrates the state in which deficit occurs by satisfying a requirement for one item. All that follows the principles of static modelling with a deficit and the ideal solution would be the most appropriate. We know that the ideal amount depends on the inventory demands. In the classical logic, we define the required storage amounts by the inventory cycle which has a constant value during the inventory cycle; however, that logic overlooks the fluctuation of inventory demands. Therefore, this manuscript conducts a study about static inventory models with a deficit for one material based on neutrosophic logic, which takes into consideration the indeterminate states and hence it provides more precise results, thus, it gives institutions a stable work environment with the least costs.

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Vol. 18 Issue. 1 PP. 20-29, (2022)

Neutrosophic Handling of the Simplex Direct Algorithm to Define the Optimal Solution in Linear Programming

Maissam Jdid , A. A. Salama , Huda E. Khalid

Mathematical programming can express competency concepts in a well-defined mathematical model for a particular situation or system, and the ability to derive computational methods to solve this mathematical model, it is also a mathematical tool that allows us to model, analyze and solve a wide range of problems concerned with allocating rare resources of labor, materials, machinery, and capitals. Consequently, using them in the best attainable way to minimize costs or maximize profits. In such issues, the linear programming is one of the most widely used types of mathematical programming because it is a method that helps to make good decisions and decide the best program for independent activities, considering the available sources. It does not take in consideration the continuous and rapid changes and the state of instability in data. So, this manuscript studies one of the methods to solve linear models, which is the simplex method using the neutrosophic theory that covers all the data in analysing, whether specific or not, determined or not, having consistency or not, as well as it deeming all occurring changes. However, the optimal solution is related to the variables in the objective function, which in turn are affected by the fixed quantities that express the available possibilities. This article presents a study to solve the linear model using the simplex method in which the variables and their coefficients are indeterminate values, and we will explain the effected of the indeterminate values on the optimal solution of the mathematical model.  The product mixture problem has been presented as case study to demonstrate the efficiency of the proposed method.

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Vol. 18 Issue. 1 PP. 30-41, (2022)

The Neutrosophic Treatment for Multiple Storage Problem of Finite Materials and Volumes

Maissam Jdid , Rafif Alhabib , Ossama Bahbouh , A. A. Salama , Huda E. Khalid

In this paper, we present a multi-inventory with limited size model to clarify the basic idea of ​​multi-inventory systems in order to understand the relationships between the main variables and examine the inventory’s behaviour in a very broad range. In addition to the obvious applications in physical warehouses (such as electrical equipment, supplies, raw materials used in manufacturing, etc.), there are less predictable cases in which the multi-inventory model can be used. Such a model can be applied on the number of engineers and employees in a company, also on the number of students and professors in a university, as they constitute the processes of demand, hiring, and laying off which are types of compensation. Moreover, it may be useful at times not to look at physical goods as inventory as the prior examples are both types of inventories based on the space occupied as the available space can accommodate stored materials and is considered an inventory that must be compensated when depleted. The previous examples, in addition to many others, can be classified as inventory problems indicating the abundance of inventory models application, and the possibility of benefiting from the study of inventory theory in terms of clarifying the internal structure of the systems. In this study, we used the Neutrosophic logic to solve the problem of multi-inventory and limited size, depending on the fact that the optimal volume of materials to be stored is affected by the rate of demand for inventory. Moreover, this study is considered an expansion of one of the known classical inventory models that depend on finite data and that is done by assigning a constant value to the inventory demand rate over the storage cycle time, which does not correspond with the realistic application. The limited application of classical inventory models was the motivating factor for this study as it deals with all data, whether specified or not in the inventory management process. Moreover, it considers all cases that the demand for inventory can go through, ranging from the cessation of demand for some stored materials to demand that exceeds the values ​​provided by the real study. Through this study, we developed mathematical relationships that we used to determine the necessary quantities of each of the materials to be stored based on the rate of demand and provide us with results that are more accurate. These results that can be utilized to store many materials in appropriate quantities and available volume, ensure that there is no shortage during the storage cycle period, and enables us to calculate all the necessary costs, which will achieve great profits.

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Vol. 18 Issue. 1 PP. 42-56, (2022)

Complex Plithogenic Set

Prem Kumar Singh

In the last decade uncertainty analysis in multi-attributes data sets is considered as one of the major issues. Same time another issues arises due to conflict among experts for their multi-valued and its existence. To resolve these issues, the properties of Plithogenic set is somehow considered as helpful for representing the multi-valued attributes and its multiple opposites, non-opposites as well as neutrals values with its contradiction. The problem arises when these values changes at given phase of time. Hence the current paper focused on introducing Complex Plithogenic set and its graphs for knowledge discovery and representation tasks with an illustrative example.

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Vol. 18 Issue. 1 PP. 57-72, (2022)