International Journal of Neutrosophic Science

In this paper, we present the Pythagorean neutrosophic interval valued fuzzy soft set. This is a generalization of the Pythagorean interval valued fuzzy soft set as well as the neutrosophic interval valued fuzzy soft set. It is discussed in this paper how an aggregated operation is used to aggregate the decision matrix of PNIVS. There are a number of extensions to the normosophic fuzzy soft sets that involve the use of multi-criteria decisionmaking. The aim of this study is to develop a score function based on aggregating TOPSIS methods in order to find ideal solutions for PNIVS that have both positive and negative values. The purpose of this study is to identify the optimal alternative under closeness conditions. It gives us the opportunity to interact with two real life problems, such as the production of ten different types of motorbikes by an automobile company. According to this set of parameters, a motorbike is determined by the fuel tank capacity, better styling, a better price, more mileage, durable, and other factors that determine how a customer can choose which bike to buy.

In contrast to the Pythagorean interval valued fuzzy soft set and the neutrosophic interval valued fuzzy soft set, the Pythagorean neutrosophic interval valued fuzzy soft set is a generalization of these sets. We discuss aggregating PyNIVFS decision matrixes by using aggregated operations. The VIKOR method, which is an extension of neutrosophic fuzzy soft sets, is a powerful method for evaluating multi-criteria group decision making. The score function in this approach is based on the aggregation of the VIKOR method to a PyNIVFSpositive and negative solution. Optimal alternatives are introduced under closeness. An investment company plans to purchase some shares of the top five companies in the stock exchange to invest some money on. In order to minimize this factor, they decided to invest some of their cash in percentages of 30 dollars, 25 dollars, 20 dollars, 15 dollars and

Decision-making problems involve uncertain and incomplete information, which can be well represented by the Neutrosophic set (NS). Various extensions of NS are available in the literature for solving such problems. However, the published extensions of NS have some restrictions such as single based membership degree. Neutrosophic vague set (NVS) is a newly developed theory to address the shortcomings of previous set theory. NVS is structured based on interval membership in the context of dependent membership functions. Beside uncertainty information, aggregation operators (AOs) are critical components in real-world decision-making issues. As a generalization to the conventional aggregation functions defined on the set of real numbers, numerous AOs have been presented in the literature. Each AO provides a distinct purpose in effectively resolving decision-making problems. Recently, Bonferroni meant (BM) operator has received great attention among scholars because of its ability to consider interrelationship among criteria available in decision-making problems. Based on the advantages of the NV and BM operator, we would like to fill in the gaps by developing a Neutrosophic vague normalized weighted Bonferroni mean (NV-NWBM). In addition, five mathematical properties related to proposed AO are also examined. Besides that, a three-phase decision-making framework is presented to clarify that the proposed AO can be applied to real world decision-making issues. The NV-NWBM operator along with decision-making framework is applied to the example of investment selection under NV environment. The finding shows a computer company is the best alternative for investment. Finally, influence of parameter is performed to validate the effect of parameter towards ranking order.

The main target of introduce our manuscript is to study and investigate another new extension for the classical meanings of neutrosophic soft neighbourhood and soft separation structures namely, neutrosophic soft δ-ß-neighbourhood and neutrosophic soft δ-ß-separation structures based on new idea of neutrosophic soft open sets called, neutrosophic soft δ-ß-open sets which is more general than of the neutrosophic soft open sets. This manuscript is devoted to obtaining some characterizations and essential properties concerning of neutrosophic soft δ-ß- Ti-spaces (i=0, 1, 2, 3, 4) as well the relationships among them. In addition, some relationships of neutrosophic soft δ-ß-separation structures with regard to neutrosophic soft points have been discussed. In addition, diverse suitable examples to support of our main results have been supplied.  

Groups and subgroups are rich algebraic structures, and both of them depend on binary operations in their work. The discussion of this paper is organized into two parts. In the first part, we define the notion of Qcomplex neutrosophic soft sets (Q-CNSSs) by amalgamating two previous models of Q-complex neutrosophic set (Q-CNS) and soft set (SS) to address the issues of two-dimensionality (two variables) in a universal set under a parametric environment. Subsequently, the relation between Q-CNSSs and Q- neutrosophic soft sets (Q-NSSs) is verified. A basic set theory for this hybrid model is developed. In particular, null Q-CNSS and absolute Q-CNSS are defined. The basic operators of the complement, subset, equality, union and intersection are advanced and their properties are examined. Further, the notions of the homogeneous and completely homogeneous Q-CNSSs are proposed along with some illustrated examples. In part two, we move to study some algebraic structures of this model when we define the notions of Q-complex neutrosophic soft groups (QCNSG) and Q-complex neutrosophic soft subgroups (Q-CNSSG). Then, the relation between Q-CNSG and Q-neutrosophic soft group (Q-NSG) is scrutinized. Moreover, the algebraic properties of the Q-CNSG and Q-CNSSG are discussed and verified. Finally, some theories that show the relationship between the Q-CNSG and the soft group are proposed.

The notion of Positive Implicative BS-Neutrosophic Ideal, Commutative BS-Neutrosophic Ideal and related properties are investigated. Characterizations of Positive Implicative BS-Neutrosophic Ideal, Commutative BS- Neutrosophic Ideal are discussed.

Due to the complexity and unpredictability of today's globalized business world, managing an international business administration (IBAS) is not without its share of risks. The necessity of efficient risk management in international business administrations is highlighted, and a summary of the main hazards that companies encounter when doing business across borders is provided in this paper. The political, economic, legal, cultural, operational, financial, compliance, competitive, environmental, sustainability, and cybersecurity risks are identified and categorized in the paper as the most significant risks in international company administrations. It stresses how important it is to recognize and manage these threats to international corporate success and longevity. This article examines the effects of political risks on international commerce, including political instability, changes in government policy, and trade barriers. It draws attention to economic risks that might have an impact on pricing, profitability, and financial performance, such as swings in exchange rates, inflation, and economic instability. This work applied the neutrosophic set with multi-criteria decision-making (MCDM) models to rank the risks in IBAS. This paper used the neutrosophic MABAC and neutrosophic COPRAS methods to rank these risks. These methods are compared with the PROMETHEE method. The results show the suggested technique is an effective model to deal with this kind of problem.

Studying the impact of beneficiaries on yoga is the aim of this article. Due to its significance, yoga is extremely important for both mental and physical wellness. Numerous, complicated, and incompatible supporting criteria exist for the impact of yoga. The multi-criteria decision making (MCDM) strategy is an option for resolving this problem. A potent instrument for communicating the significance and influencing factors on others is the Decision-making Trial and Evaluation Laboratory (DEMATEL) technique. As a result, DEMATEL included neutrosophic sets for system analysis and manipulation. To demonstrate how to defeat this strategy, we also provide several instances.

This work emphasis on the basic notions regarding the Neutrosophic Fuzzy Sets (NFSs) with operations and their applicability in medical diagnostic process. In this manuscript, we developed neutrosophic fuzzy set-based Monte Carlo simulation technique for the decision making in medical diagnostic processin fuzzy environment. In this work, we managed the waiting time and idle time of the doctor during the treatment process of the patients.  The various parameters are stated as linguistic variable in the form of NFSs. The developed neutrosophic Monte Carlo simulation technique (NMCST) is extended in the planning strategy of a doctor to treat the patient in a neutrosophic fuzzy environment. For the validation and authentication of the efficiency of the proposed NMCST, numerical computations are carried out with the examples of medical problems.