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Found 3841 matches for "All Articles"

Generalized of A-Closed Set and Ƈ- Closed Set in Fuzzy Neutrosophic Topological Spaces

In this research paper, a new two classes of sets called fuzzy neutrosophic generalized A-closed sets and fuzzy neutrosophic generalized Ƈ-Closed sets in fuzzy neutrosophic topology are introduced and some of their properties have been investigated. We give some theorems, propositions and some necessary examples related to presented definitions. Then, we discuss the relations among the new defined sets.

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Huda F. Khudair mail -
Fatimah M. Mohammed mail
link https://doi.org/10.54216/IJNS.190201

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

Continuity and Compactness via Hypersoft Open Sets

Hypersoft topology (HST) is the study of a structure based on all hypersoft (HS) sets on a given set of alternatives. In continuation of this concern, in this article, we introduce new maps namely HS continuous, HS open, HS closed, and HS homomorphism. We examine the main characteristics of each of these maps. Furthermore, we study HS compact space and discuss some of its properties. We point out that HS compactness preserved under HS continuous map.

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Baravan A. Asaad mail -
Sagvan Y. Musa mail
link https://doi.org/10.54216/IJNS.190202

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

Some Algebraic structures of Neutrosophic fuzzy sets

The mathematical operations of convergence, association, supplement, arithmetical total, logarithmic item, scalar increase, and exponentiation are the main topics of this article. We show certain important logarithmic features of idempotency, commutativity, associativity, retention, distributivity, and De Morgan’s laws over the addition of Neutrosophic fuzzy sets. We also outline new fixations and NFS widening and show some concepts in action. Last but not least, we define a further operation (@)on Neutrosophic fuzzy sets and investigate distributive laws for the case where the responsibilities of ⊕, ⊗, ∪, and ∩ are combined.

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I. Silambarasan mail -
R. Udhayakumar mail -
Florentin Smarandache mail -
Said Broumi mail
link https://doi.org/10.54216/IJNS.190203

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program

In this research paper, we explore the notion of Plithogenic Fuzzy Relational Mapping (PFRM) and its applications. Plithogenic Fuzzy Relational Mapping concept is utilized as a logical procedure with a defined contradiction degree to evaluate multiple attributes. A Plithogenic fuzzy relational matrix is used as the adjacency matrix. Using Plithogenic fuzzy union and intersection operators, the resultant vector is calculated. The degree of contradiction for each attribute value with the dominating attribute gives a way to better accurate results. A case study has been taken and we have implemented the newly proposed idea. Python Program has been written using the algorithm proposed and we have obtained the result as well.

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L.Jeromia Anthvanet mail -
A. Rajkumar mail -
D. Nagarajan mail -
broumi said mail
link https://doi.org/10.54216/IJNS.190204

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

Neutrosophic approach to Dynamic Programming on group Decision Making problems

In this article, complicated group decision-making situations where the preference data is represented by linguistic variables are addressed using the dynamic programming approach. Making conclusions clear through accurate figures is difficult for decision-makers due to the complexity and ambiguity of reality. Neutrosophic is used to encode the linguistic variables because they cannot be directly computed. Neutrosophic sets are used to manage indeterminacy in a practical situation. The relationships between single and interval Neutrosophic sets are then measured using novel distance and similarity models. The suggested dynamic programming interval-based clustering methodology is then used to group the decision-makers. Additionally, a novel method for computing the interval weights of decision-makers and clusters is described, accounting for both the cluster center and group size. A centroid-based ranking system is then used to compare and order the possibilities, and illustrated experiments are presented to demonstrate how effectively the suggested technique operates. Comparisons and discussions are also done to show its superiority.

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A. Kanchana mail -
D.Nagarajan mail -
broumi said mail
link https://doi.org/10.54216/IJNS.190205

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

Nonagonal Neutrosophic Number and its Application in Optimization Technique

This article discusses Nonagonal Neutrosophic number and m-valued Nonagonal Neutrosophic number. The score function, the accuracy function, hamming distance, normalized hamming distance, Euclidean distance and normalized Euclidean distance of Nonagonal and m-polar Nonagonal Neutrosophic number are derived. Some de-neutrosophication method for Nonagonal Neutrosophic number and some properties of m-valued Nonagonal Neutrosophic number are proved. In this article the optimal path of an acyclic network is estimated using Neutrosophic α-cut  grade, Neutrosophic Euclidean grade technique and dynamic programming recursion method through Nonagonal Neutrosophic number. The score function and the removal area method are used to transform the Nonagonal Neutrosophic number to crisp number and the results obtained in both the methods are compared.

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N. Jose Parvin Praveena mail -
S. Ghousia Begum mail -
A. Rajkumar mail -
D. Nagarajan mail -
broumi said mail
link https://doi.org/10.54216/IJNS.190206

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

Applying Neutrosophic Iadov Technique for assessing an MDD-based approach to support software design

Performing a correct architectural design is essential to satisfy the quality requirements of a software. In this phase, the high-level components that will compose the system, as well as their relationships, are defined. Since the architects must struggle with complex and challenging tasks in this phase, providing them with advanced and helpful tools and methods is suitable. For example, MDD-based approaches are a valuable means to deal with the complexity during the software development process, particularly during the architectural design stage. However, despite the notable benefits of this type of approaches, the architects are often sceptical about adopting new technologies. Hence, before formally adopting new methods or tools, it is suitable to consider the opinion of those using them. In that sense, this paper aims to describe the results of an assessment of an MDA-based approach to support the architectural design. This assessment was carried out applying the Iadov neutrosophic technique. This technique has been extensively applied in a wide variety of domains to analyze the satisfaction level of potential users of different proposals. The results indicate a high satisfaction level of potential users of the assessed approach.

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Nemury Silega mail -
G. F. Castro Aguilar mail -
I. A. Martillo Alcívar mail -
K. M. Faggioni Colombo mail
link https://doi.org/10.54216/IJNS.190207

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

Different Types of Operations on Neutrosophic Graphs

The fuzzy graph theory uses a substantial and important role in modelling and structuring many optimization problems. DIfferent type of uncertainties exist in most of the optimization problems in real lIfe scenarios due to indeterminate and incomplete information and it is a challenging task for the expert to design those optimization problems applying fuzzy graph. To design the incomplete, uncertainty and vagueness in graphical optimization problems, several extensions of graph theoretical ideas are proposed. The idea of neutrosophic graph plays an important role to manage the uncertainty, linked with the indeterminate and incomplete data/information of any optimization problem. In this manuscript, we present the idea of regular neutrosophic graph, strong neutrosophic graph, bipartite neutrosophic graph, regular neutrosophic graph, and regular strong neutrosophic graph. We also introduce six different operations on neutrosophic graph, viz., cartesian product, composition, join, direct product, lexicographic and strong product.

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Arindam Dey mail -
Ranjan Kumar mail -
Said Broumi mail -
Pritam Bhowmik mail
link https://doi.org/10.54216/IJNS.190208

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

Bipolar Hypersoft Homeomorphism Maps and Bipolar Hypersoft Compact Spaces

Herein, we further contribute and promote topological structures via bipolar hypersoft (BHS) setting by introducing new types of maps called BHS continuous, BHS open, BHS closed, and BHS homeomorphism maps. We investigate their characterizations and establish their main properties. By providing a thorough picture of the proposed maps, we investigate the concept of BHS compact space and obtain several results relating to this concept. We point out that BH compactness preserved under BH continuous map. The relationships among these concepts with their counterparts in hypersoft (HS) structures are discussed.

groups
Sagvan Y. Musa mail -
Baravan A. Asaad mail
link https://doi.org/10.54216/IJNS.190209

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

Energy Aware Routing Protocol with Data Fusion and Machine Learning

The current wireless and communication system may be attributed to the contributions made by the Sensor Network in a significant measure. During the last decade, several efforts have been performed to examine and propose answers to challenges about the energy efficiency of wireless sensor network communications. Several different researchers has done these efforts. The challenge of constructing economical energy-use paths has not yet been overcome. Because sensors have limited computational capabilities, which are frequently coupled with energy limitations, it is rather difficult to guarantee that a sensor’s lifespan will be longer. This is because of the energy constraints often associated with these limitations. The results of this research have led to the development of a one-of-a-kind communication system for sensor networks that is not only environmentally friendly but also supported by three distinct revolutionary frameworks. The framework that has been recommended, which goes by the name Potential Energy Efficient Data Fusion (PEE-DF), is the one that is in charge of the optimization of energy. It achieves this with the aid of probabilistic approaches and clustering. The K-SOM (Korhonen self-organizing map) framework was designed using a globular topology, which aids load balancing during data fusion. K-SOM stands for "Korhonen self-organizing map." This was done to ensure we got the most out of our resources. A novel method to routing is presented by the technique, which has the potential to be used to assist in the operation of energy-efficient routing in large-scale wireless sensor networks. The framework for the Tree-Based Fusion Technique (TBFT), which has been offered, comes up with a new way for dynamic reconfiguration. This is accomplished via the introduction of the concept of routing agents. The strategy enables the system to recognise which sensor has a greater energy dissipation rate and then instantly moves data fusion work to a more energy-efficient node. This allows the system to save energy. This approach, based on thresholds, enable a sensor to act as a cluster head up until it reaches its threshold remnant energy and then as a member node once it exceeds threshold residual energy. In other words, it may play both roles simultaneously. It is possible to fulfil both of these responsibilities at the same time. The findings have been mathematically modelled using a standard radio-energy model, which has enhanced the robustness of the findings, which is highly positive. The results were encouraging because of the increased robustness of the findings. Compared to the benchmark previously established for energy-efficient strategies, the proposed system demonstrates higher performance in terms of its ability to communicate while using less energy. In contrast to LEACH, the recommended system's findings reveal an almost fifty percent decrease in energy consumption, and at the same time, a reduction in the amount of time required to carry out the operation..

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Vijay K. Trivedi mail
link https://doi.org/10.54216/IJWAC.050102

Volume & Issue

Vol. Volume 5 / Iss. Issue 1

Details open_in_new