International Journal of Neutrosophic Science

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

Neutrosophic Discrete Facility Location Problems

Hajem Ati Daham

Discrete facility location problems are classified as types of facility location problems, wherein decisions on choosing facilities in specific locations are made to serve the demand points of customers, thus minimizing the total cost. The covering- and median-based problems are the common classified types of discrete facility location problems, which both comprise different classes of discrete problems as reviewed in this research. However, the discrete facility location problems shown in deterministic and known information and data under uncertain, vague, and ambiguous environments have usually been solved using intuitionistic fuzzy approaches. Neutrosophic is recently applied to tackle the uncertainty and ambiguity of information and data. This paper considered solving the discrete facility location problems under the neutrosophic environment, wherein the information of the locations, distances, times, and costs is uncertain. The mathematical models for the main types of neutrosophic discrete facility location problems, which remain unclear till now despite previous related works, are formulated in this study. Numerical examples demonstrated testing of the neutrosophic discrete models and comparison with the optimization solutions obtained from the normal situations. 

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Vol. 19 Issue. 1 PP. 29-47, (2022)

Time Q-Neutrosophic Soft Expert Set

Sumyyah Al-Hijjawi , Abd Ghafur Ahmad , Shawkat Alkhazaleh

This paper is a combination of time neutrosophic soft sets and Q- neutrosophic soft expert sets. We define the general concept of time Q-neutrosophic soft expert sets and study its properties. Some operations such as complement, union, and intersection are explored. Then a hypothetical application of this concept in the decision-making problem is given.

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Vol. 19 Issue. 1 PP. 08-28, (2022)

Review of Generalized Neutrosophic Soft Set in Solving Multiple Expert Decision Making Problems

Sonali Priyadarsini , Ajay V. Singh , Said Broumi

To manage issues with incompleteness, indeterminacy, and awareness of inconsistent information, Maji presented the idea of a neutrosophic soft set by merging the ideas of a neutrosophic set and a soft set. The generalized neutrosophic soft set (GNSS) is an extension of this idea, which has now been developed further. At the beginning of this paper, we describe the definition of a generalized neutrosophic soft set. Then, we focus on the concepts of GNSS operations, such as AND, OR, complement, intersection, and union, and provide illustrated examples to describe a number of associated properties. Finally, a description of an algorithm and an application that uses GNSS to address challenges that arise when making decisions that need the experience of more than one specialist is offered here.

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Vol. 19 Issue. 1 PP. 48-59, (2022)

Application of MBJ - Neutrosophic Set on Filters of Incline Algebra

Surya M. , P. Muralikrishna

The concept of fuzzy set has been generalized to many kinds and one among them is neutrosophic set which is a developed from intuitionistic fuzzy set by adding a components called indeterminate function between truth and falsity membership function. This neutrosophic set also moved a step forward and shows a variation in indeterminate function alone as an interval valued indeterminate function and other functions remains same and this is named as MBJ - neutrosophic set. Here, this work on the MBJ - neutrosophic set merged with incline algbera and introduces the idea of MBJ - neutrosophic filter of an incline algebraic structure and is engrossing with several results. Also, the level, cartesian product, projection, characteristic function and chain conditions are also disputed.

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Vol. 19 Issue. 1 PP. 60-67, (2022)

Towards Smart Education in IoT and IoB Environment using the Neutrosophic Approach

Ossama H. Embarak , Fatima R. Aldarmaki , Maryam J. Almesmari

Due to the explosive growth of information in recent years, the function of education, which disseminates information, has become more important. Meanwhile, the paradigm of the educational process is undergoing a transformation to accommodate the many methods in which today's pupils learn. As a result, we should promote a more technologically advanced school setting. It uses a variety of technologies for communication and information to engage pupils and meet their individual needs. Continuously observing and evaluating the condition and actions of various students using information from various sensors and data processing platforms for providing feedback on the process of learning might improve the quality of learning for students. The potential for the IoT to improve people's quality of life and the efficiency of businesses is enormous. The Internet of Things (IoT) and Internet of behavior (IoB) have the potential to provide a new ecosystem for application development while also facilitating expansions and enhancements to key utilities in a wide variety of domains by means of a widely dispersed local network of intelligent items. Students will learn more quickly, and instructors will be able to do their jobs more effectively when the notion of the Internet of Things is used in any educational setting. The purpose of this article is to employ neutrosophic sets to demonstrate some of the most fundamental aspects of the Internet of Things. We used the MCDM methodology to evaluate the conflicting criteria, so we used the neutrosophic AHP method to compute the weights of the criteria, and then we used the neutrosophic VIKOR to rank the alternatives. We also demonstrated how IoT may help us make better choices in our everyday lives and contribute to a more intelligent educational system.

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Vol. 19 Issue. 1 PP. 82-98, (2022)

Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces

Archana Sharma , Sajid Murtaza , Vijay Kumar

In the present paper, we use the difference operator ∆m (Iλ )-summability to define some new summability concepts on neutrosophic normed spaces. We also introduce concepts of generalized limit point, and cluster point and obtain some relationships among these notions. Finally, we define generalized Cauchy sequences on these spaces and present a characterization of a new summability method that preserves linear operators on neutrosophic normed spaces.

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Vol. 19 Issue. 1 PP. 68-81, (2022)

On Neutrosophic Generalized Alpha Generalized Separation Axioms

Murtadha M. Abdulkadhim , Qays H. Imran , Amer K. Abed , Said Broumi