International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

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

On Neutrosophic D –Topological Spaces

Amer Khrija Abed , Ekram Abd Ali , Ahmed Salam Razzaq , Qays Hatem Imran , Said Broumi

In this paper, we redefine the dense neutrosophic set operations and, by using them, we introduce new definition for topological space in neutrosophic topological space and also gives the basic specifications for the new definitions of neutrosophic topological space in neutrosophic topological space, we also obtained some properties that show the relationship between neutrosophic topological space and neutrosophic semi-open sets in the neutrosophic topological space, we also studied image characterization and preimages of neutrosophic    topological  space .

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Doi: https://doi.org/10.54216/IJNS.220301

Vol. 22 Issue. 3 PP. 08-14, (2023)

Selection of Agricultural Aircraft in Bipolar Neutrosophic Environment using Bipolar - TOPSIS method

Abraham D. Egan L , B. Shoba , Rajkumar A. , Broumi said

The neutrosophic set has numerous uses in a variety of industries. There are more advantages to use the Bipolar Neutrosophic set than other sets for elucidating a multi-criteria decision-making problem. The bipolar-neutrosophic set addresses both the positive and negative facets of the issue, improving the probability of a successful resolution. By implementing the removal area method, the de-bipolarization of the bipolar neutrosophic number with eleven parameters is formulated. The proposed Neutrosophic number is used to solve the selection of agricultural aircraft using given criteria and the linguistic variables by the TOPSIS approach. A comparative study has been conducted to determine its robustness. Also, the multi-criteria decision-making problem (MCDM) is solved using the TOPSIS approach with MATLAB programming.

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Doi: https://doi.org/10.54216/IJNS.220302

Vol. 22 Issue. 3 PP. 15-35, (2023)

On Radical of Neutrosophic Primary Submodule

M. Vasuki , P. Senthil Kumar , Said Broumi , N. Rajesh

In this paper, we introduce and study the concept of neutrosophic submodules and neutrosophic primary submodule with the help of the definition of a radical submodule, and we also study the properties of these submodules. Furthermore, homomorphic image and preimage of neutrosophic primary submodule are investigated.

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Doi: https://doi.org/10.54216/IJNS.220303

Vol. 22 Issue. 3 PP. 36-52, (2023)

Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings

Faisal Al-Sharqi , Ashraf Al-Quran , Noor Kareem Assi Halaf , Mona Aladil , Maha M. Rasheed

Soft set(SS) is one of the soft computing techniques that plays an important role in addressing the hiddenness and uncertainty associated with uncertain data. In other hand the idea of interval-valued neutrosophic soft sets (IVNSSs) is a new generalization of the neutrosophic soft sets to the neutrosophic sets when the authors combine the critical features of IVNS and soft sets (SSs) in one model. Accordingly, this model worked to provide decision-makers with more flexibility in the process of interpreting uncertain information. From a scientific point of view, the process of evaluating this high-performance IVNSS disappears. Therefore, in this paper, we initiated a new approach known as possibility interval-valued neutrosophic soft sets (PIVNSSs) as a new development in a fuzzy soft computing environment. We investigate some fundamental operations on PIVNSSs along with their basic properties. Also, we investigate AND and OR operations between two PIVNSSs as well as several numerical examples to clarify the above fundamental operations. Finally, we have given distance measures (DM) between two PIVNSSs to construct a new algorithm that is used to demonstrate the effectiveness of the method in handling some real-life applications.

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Doi: https://doi.org/10.54216/IJNS.220304

Vol. 22 Issue. 3 PP. 53-68, (2023)

Algorithm for decision-making based on similarity measures of possibility interval-valued neutrosophic soft setting settings

Yousef Al-Qudah , Faisal Al-Sharqi

hand the idea of interval-valued neutrosophic soft sets (IVNSSs) is a new generalization of the neutrosophic soft sets to the neutrosophic sets when the authors combine the critical features of IVNS and soft sets (SSs) in one model. Accordingly, this model worked to provide decision-makers with more flexibility in the process of interpreting uncertain information. From a scientific point of view, the process of evaluating this highperformance IVNSS disappears. Therefore, in this paper, we initiated a new approach known as possibility interval-valued neutrosophic soft sets (PIVNSSs) as a new development in a fuzzy soft computing environment. We investigate some fundamental operations on PIVNSSs along with their basic properties. Also, we investigate AND and OR operations between two PIVNSSs as well as several numerical examples to clarify the above fundamental operations. Finally, we have given similarity measure (SM) between two PIVNSSs to construct a new algorithm that is used to demonstrate the effectiveness of the method in handling some real-life applications.

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Doi: https://doi.org/10.54216/IJNS.220305

Vol. 22 Issue. 3 PP. 69-83, (2023)

Hybrid integrated decision-making algorithm based on AO of possibility interval-valued neutrosophic soft settings

Yousef Al-Qudah , Faisal Al-Sharqi , Muthanna Mishlish , Maha M. Rasheed

The idea of interval-valued neutrosophic soft sets (IVNSSs) is a new generalization of the neutrosophic soft sets to the neutrosophic sets when the authors combine the critical features of IVNS and soft sets (SSs) in one model. Accordingly, this model worked to provide decision-makers with more flexibility in the process of interpreting uncertain information. From a scientific point of view, the process of evaluating this highperformance IVNSS disappears. Therefore, in this paper, we initiated a new approach known as possibility interval-valued neutrosophic soft sets (PIVNSSs) as a new development in a fuzzy soft computing environment. We investigate some fundamental operations on PIVNSSs along with their basic properties. Also, we investigate AND and OR operations between two PIVNSSs as well as several numerical examples to clarify the above fundamental operations. Finally, we have given aggregation operators (AO) to construct a new algorithm that is used to demonstrate the effectiveness of the method in handling some real-life applications.

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Doi: https://doi.org/10.54216/IJNS.220306

Vol. 22 Issue. 3 PP. 84-98, (2023)