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.
Read MoreDoi: https://doi.org/10.54216/IJNS.180101
Vol. 18 Issue. 1 PP. 08-13, (2022)
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).
Read MoreDoi: https://doi.org/10.54216/IJNS.180102
Vol. 18 Issue. 1 PP. 14-19, (2022)
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.
Read MoreDoi: https://doi.org/10.54216/IJNS.180103
Vol. 18 Issue. 1 PP. 20-29, (2022)
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.
Read MoreDoi: https://doi.org/10.54216/IJNS.180104
Vol. 18 Issue. 1 PP. 30-41, (2022)
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.
Read MoreDoi: https://doi.org/10.54216/IJNS.180105
Vol. 18 Issue. 1 PP. 42-56, (2022)
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.
Read MoreDoi: https://doi.org/10.54216/IJNS.180106
Vol. 18 Issue. 1 PP. 57-72, (2022)
The following research shows a methodology that combines the multicriteria method WASPAS and Neutrosophic, which seeks to improve decision making within the planning processes in machine shops. With WASPAS the best alternative is selected and Neutrosophic offers us the advantage of driving the concept of uncertainties and neutralities, and with it the values of the input variables for high speed machining to manufacture the rectangular piece of aluminum alloy 5083. With the evaluation of the criteria, when applying the method it is obtained as objective that the alternative ten is the best, therefore, when implementing the input parameters: S = 15000 rpm, doc= 0.10 mm, ts= 3.0 mm, F= 3600 m/min, the surface quality and low deformation of the part is guaranteed. It is concluded that the WASPAS multicriteria analysis method with neutrosophy is an excellent tool, with a low cost and good reliability, as a solution to be applied in machining shops to improve decision making in process planning processes from the optimal selection of machining parameters.
Read MoreDoi: https://doi.org/10.54216/IJNS.180107
Vol. 18 Issue. 1 PP. 73-81, (2022)
Recently, research on uncertainty modeling is progressing rapidly and many essential and breakthrough studies have already been done. There are various ways such as fuzzy, intuitionistic and neutrosophic sets to handle these uncertainties. Although these concepts can handle incomplete information in various real-world issues, they cannot address all types of uncertainty such as indeterminate and inconsistent information. Also, plithogenic sets as a generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets, which is a set whose elements are characterized by many attributes’ values. In this paper, our aim is to demonstrate and review the history of fuzzy, intuitionistic and neutrosophic sets. For this purpose, we divided the paper as: section 1. History of Fuzzy Sets, section 2. History of Intuitionistic Fuzzy Sets and section 3. History of Neutrosophic Theories and Applications, section 4. History of Plithogenic Sets.
Read MoreDoi: https://doi.org/10.54216/IJNS.180109
Vol. 18 Issue. 1 PP. 99-116, (2022)
In this article, an algorithm is introduced that makes it easier for us to choose the right operator in order to overcome the possible problems faced by a business, small or huge. This algorithm is based on the Euclidean similarity measure on generalized set-valued neutrosophic quadruple numbers and sets. By using this algorithm, one can calculate the similarity of the criteria between the requested and already owned skills of the operators in general. By this means, one can make the right choice to hire the right operator without giving preferential treatment or personal favors. The closer the similarity value is to 1, the more accurate our selection will be.
Read MoreDoi: https://doi.org/10.54216/IJNS.180108
Vol. 18 Issue. 1 PP. 82-98, (2022)
The concept of neutrosophic sets makes it easier to analyse values that are ambiguous or indeterminate. We illustrate the concept of single-valued neutrosophic R-dynamic vertex coloring in this study. In addition, the single valued neutrosophic dynamic vertex coloring of the Cartesian product of path with cycle, cycle with cycle, complete SVNG with complete SVNG and cycle has been determined. Also, we have discussed the single valued neutrosophic dynamic vertex coloring of join of complete SVNG with complete SVNG and cycle, cycle with cycle.
Read MoreDoi: https://doi.org/13.54216/IJNS.180110
Vol. 18 Issue. 1 PP. 117-126, (2022)
In Neutrosophic Normed spaces, we investigate a unique quadratic function and a unique additive quadratic function of the Hyers-Ulam-Rassias stability for the functional equation which is said to be a functional equation associated with inner products space.
Read MoreDoi: https://doi.org/10.54216/IJNS.180111
Vol. 18 Issue. 1 PP. 127-143, (2022)
In this paper, we introduce and investigate the classes of continuous mappings in bipolar neutrosophic soft topological spaces such as bipolar neutrosophic soft contra generalized pre-continuous mappings and bipolar neutrosophic soft contra generalized α-continuous mappings. Further, we investigate some of its properties via theorems.
Read MoreDoi: https://doi.org/10.54216/IJNS.180112
Vol. 18 Issue. 1 PP. 144-157, (2022)