International Journal of Neutrosophic Science

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

Neutrosophic Monte Carlo Simulation Approach for Decision Making In Medical Diagnostic Process Under Uncertain Environment

M. K. Sharma , Nitesh Dhiman , Shubham Kumar , Laxmi Rathour , Vishnu Narayan Mishra

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.  

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Vol. 22 Issue. 1 PP. 08-16, (2023)

Unveiling Yoga’s Impact on Mental and Physical Well-Being Through Neutrosophic DEMATEL Analysis

Ahmed E. Fakhry , Myvizhi M. , Ahmed M. Ali , Ahmed Abdelhafeez

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.

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Vol. 22 Issue. 1 PP. 17-30, (2023)

A New Hybrid Neutrosophic Multi-Criteria Decision Methodology Model for Ranking Risks in International Business Administration

Ather Abdulrahman Ageeli

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.

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Vol. 22 Issue. 1 PP. 31-44, (2023)

Positive Implicative and Commutative BS-Neutrosophic Ideals of BCK/BCI-Algebra

B. Satyanarayana , Shake Baji , D. Ramesh , Said Broumi

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.

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Vol. 22 Issue. 1 PP. 45-59, (2023)

The Algebraic Structures of Q-Complex Neutrosophic Soft Sets Associated with Groups and Subgroups

Ashraf Al-Quran , Faisal Al-Sharqi , Zahari Md. Rodzi , Mona Aladil , Rawan A. shlaka , Mamika Ujianita Romdhini , Mohammad K. Tahat , Obadah Said Solaiman

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.

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Vol. 22 Issue. 1 PP. 60-76, (2023)

Other Certain Classes of Generalized Neutrosophic Soft Separation Structures

Alaa. M. F. AL. Jumaili

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.  

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Vol. 22 Issue. 1 PP. 77-85, (2023)