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Found 3836 matches for "All Articles"

Time Q-Neutrosophic Soft Expert Set

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.

groups
Sumyyah Al-Hijjawi mail -
Abd Ghafur Ahmad mail -
Shawkat Alkhazaleh mail
link https://doi.org/10.54216/IJNS.190101

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

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

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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Sonali Priyadarsini mail -
Ajay V. Singh mail -
Said Broumi mail
link https://doi.org/10.54216/IJNS.190103

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

Application of MBJ - Neutrosophic Set on Filters of Incline Algebra

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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Surya M. mail -
P. Muralikrishna mail
link https://doi.org/10.54216/IJNS.190104

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

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

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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Ossama H. Embarak mail -
Fatima R. Aldarmaki mail -
Maryam J. Almesmari mail
link https://doi.org/10.54216/IJNS.190106

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

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

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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Archana Sharma mail -
Sajid Murtaza mail -
Vijay Kumar mail
link https://doi.org/10.54216/IJNS.190105

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

On Neutrosophic Generalized Alpha Generalized Separation Axioms

The paper provided a new notion of neutrosophic separation axioms as neutrosophic gαg-Ri-space & neutrosophic gαg-Tj-space (note that the indexes i & j are natural numbers of the spaces R & T are from 0 to 1 & from 0 to 2 alternately).

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Murtadha M. Abdulkadhim mail -
Qays H. Imran mail -
Amer K. Abed mail -
Said Broumi mail
link https://doi.org/10.54216/IJNS.190107

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

On Neutrosophic Crisp Generalized Alpha Generalized Closed Sets

This study reveals new concepts of neutrosophic crisp closed sets named neutrosophic crisp g-closed sets, neutrosophic crisp αg-closed sets, neutrosophic crisp gα-closed sets, and neutrosophic crisp gαg-closed sets. Furthermore, their ultimate features in neutrosophic crisp topological spaces are examined. Moreover, the consequent new concepts are introduced, such as neutrosophic crisp gαg-closure and neutrosophic crisp gαg-interior and finding some of their characteristics.  

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Murtadha M. Abdulkadhim mail -
Qays H. Imran mail -
Ali H. M. Al-Obaidi mail -
Said Broumi mail
link https://doi.org/10.54216/IJNS.190108

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version)

In this paper, we prove that Neutrosophic Statistics is more general than Interval Statistics, since it may deal with all types of indeterminacies (with respect to the data, inferential procedures, probability distributions, graphical representations, etc.), it allows the reduction of indeterminacy, and it uses the neutrosophic probability that is more general than imprecise and classical probabilities and has more detailed corresponding probability density functions. While Interval Statistics only deals with indeterminacy that can be represented by intervals. And we respond to the arguments by Woodall et al. [1]. We show that not all indeterminacies (uncertainties) may be represented by intervals. Also, in some cases, we should better use hesitant sets (that have less indeterminacy) instead of intervals. We redirect the authors to the Plithogenic Probability and Plithogenic Statistics which are the most general forms of MultiVariate Probability and Multivariate Statistics respectively (including, of course, the Imprecise Probability and Interval Statistics as subclasses).

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Florentin Smarandache mail
link https://doi.org/10.54216/IJNS.190111

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

Interval Valued Neutrosophic Subbisemirings of Bisemirings

We introduce the notion of interval valued neutrosophic subbisemirings (IVNSBSs), level sets of IVNSBSs and interval valued neutrosophic normal subbisemirings (IVNNSBSs) of bisemirings. Also, we introduce an approach to (α , β)-IVNSBSs and IVNNSBSs over bisemirings. Let à be an interval valued neutrosophic set (IVN set) in a bisemiring S. We have proved that š = (sTA‚ sIA‚ sFA) is an IVNSBS of S if and only if all non-void level set S(T,S) is a subbisemiring of S for t, s ∈ [[0,1]].  Let à be an IVNSBS  of a bisemiring S and V be the strongest interval valued neutrosophic relation (SIVNR) of S.  Prove that à is an IVNSBS of S if and only if  V is an IVNSBS of S  X S. We illustrate homomorphic image of IVNSBS is an IVNSBS. We find that homomorphic preimage of IVNSBS is an IVNSBS. Examples are provided to illustrate our results.

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M. Palanikumar mail -
K. Arulmozhi mail -
Aiyared Iampan mail
link https://doi.org/10.54216/IJNS.190109

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

Agriculture Production Decision Making using Generalized q-Rung Neutrosophic Soft Set Method

This paper introduces the generalized q-rung neutrosophic soft set (GqRNSSS) theory and its use to solve actual problems. We also define a few operations that make use of the GqRNSSS. The GqRNSSS is constructed by generalizing both the Pythagorean neutrosophic soft set (PyNSSS) and Pythagorean fuzzy soft set (PyFSS). We give a method for agricultural output that is based on the proposed similarity measure of GqRNSSS. If two GqRNSSS are compared, it can be determined whether or not a person produces good agricultural output. We support a strategy for dealing with the decision-making (DM) problem that makes use of the generalized qrung soft set model. In this article, we discuss the application of a similarity measure between two GqRNSSS in agricultural output. Show how they can be successfully applied to challenges with uncertainty.

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G. Shanmugam mail -
M. Palanikumar mail -
K. Arulmozhi mail -
Aiyared Iampan mail -
Said Broumi mail
link https://doi.org/10.54216/IJNS.190112

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new