An innovative additive mathematical model using auxiliary information

International Journal of Neutrosophic Science | 2022

Evaluation of Nutritional Education Strategies in Schools in Ecuador Using Neutrosophic TOPSIS

The need to guarantee a healthy diet and lifestyle in the country's educational centers has become an urgent need if the future of Ecuadorian society is to be improved. In this framework, educational institutions can play a fundamental role in understanding that optimal nutrition is essential for the health, well-being, and cognitive and social development of the younger population and the economic growth of communities and the well-being of future generations. This study proposes a breakdown of various strategies to promote healthy nutritional habits in educational centers throughout the country and evaluates the proposed alternatives to assign an order of priorities based on certain criteria. For this, the TOPSIS method is used in its neutrosophic version so that the vagueness and indeterminacies of the real world can be handled. The results obtained show that, of the five proposed alternatives, it is preferred to implement, firstly, the creation of a school environment for the promotion of healthy diets through the creation of orchards as a pedagogical tool, and secondly, in order of preference, conducting awareness programs on the importance of producing and consuming chemical-free products through educational fairs, communication campaigns, and other school activities.

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Dr. Miguel Ramos Argilagos mail -

Dr. Alex Valencia Herrera mail -

Dr. Walter Vayas Valdiviezo mail

link https://doi.org/10.54216/IJNS.1803018

Volume & Issue

Vol. Volume 18 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2022

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

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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Maissam Jdid mail -

Rafif Alhabib mail -

Ossama Bahbouh mail -

A. A. Salama mail -

Huda E. Khalid mail

link https://doi.org/10.54216/IJNS.180105

Volume & Issue

Vol. Volume 18 / Iss. Issue 1

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International Journal of Neutrosophic Science | 2022

Complex Plithogenic Set

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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Prem Kumar Singh mail

link https://doi.org/10.54216/IJNS.180106

Volume & Issue

Vol. Volume 18 / Iss. Issue 1

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Journal of Neutrosophic and Fuzzy Systems | 2022

On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups

In this paper, we show that for a finite game with two players A , B: Each winning strategy of the first player A can be represented by a neutrosophic subgroup of the neutrosophic group ( , and each winning strategy of the second player B can be represented by an elementary abelian group .   Also, we introduce the concept of algebraically relative  games and present some examples on it.

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Mikail Bal -

Mohammad Abobala mail

link https://doi.org/10.54216/JNFS.020101

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

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Journal of Neutrosophic and Fuzzy Systems | 2022

A Short Note on the Kernel Subgroup of Intuitionistic Fuzzy Groups

This paper defines  the concept of kernel subgroup of an intuitionistic fuzzy group. Also, it proves that this kernel is a group in the ordinary algebraic meaning as a direct application of the concept of kernel in fuzzy and anti-fuzzy groups. Also, we derive some properties of intuitionistic fuzzy groups.

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Mikail Bal mail -

Katy D. Ahmad mail -

Arwa A. Hajjari mail -

Rozina Ali mail

link https://doi.org/10.54216/JNFS.020102

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

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Journal of Neutrosophic and Fuzzy Systems | 2022

The Structure of Imperfect Triplets in Several Refined Neutrosophic Rings

This paper solves the imperfect triplets problem in refined neutrosophic rings, where it presents the necessary and sufficient conditions for a triple  (x,y,z) to be an imperfect triplet in any refined neutrosophic ring. Also, this work introduces a full description of the structure of imperfect triplets in numerical refined neutrosophic rings such as refined neutrosophic ring of integers Z(I1,I2) , refined neutrosophic ring of rationales Q(I1,I2), and refined neutrosophic ring or real numbers  (R(I1,I2). 

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Mikail Bal mail -

Katy D. Ahmad mail -

Arwa A. Hajjari mail -

Rozina Ali mail

link https://doi.org/10.54216/JNFS.020103

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

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International Journal of Neutrosophic Science | 2022

Mcdm WASPA in a Neutrosophic Environment Applied to Optimization of the Parameters for Minimization of Surface Roughness and Machining Deformation in Milling of Al Alloy Thin Walled Parts.

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.

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Hiovanis Castillo Pantoja mail -

Ángel Eugenio Infante Haynes mail

link https://doi.org/10.54216/IJNS.180107

Volume & Issue

Vol. Volume 18 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

A short history of fuzzy, intuitionistic fuzzy, neutrosophic and plithogenic sets

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.

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A. Rezaei mail -

T. Oner mail -

T. Katican mail -

F. Smarandache mail -

N. Gandotra mail

link https://doi.org/10.54216/IJNS.180109

Volume & Issue

Vol. Volume 18 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

Decision Making Applications for Business Based on Generalized Set-Valued Neutrosophic Quadruple Sets

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.

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Nuh Okumus mail -

Merve Sena Uz mail

link https://doi.org/10.54216/IJNS.180108

Volume & Issue

Vol. Volume 18 / Iss. Issue 1

Details open_in_new

American Journal of Business and Operations Research |