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Found 3739 matches for "All Articles"

Neutrosophic Fuzzy Score Matrices: A Robust Framework for Advancing Medical Diagnostics

In this paper, we introduce the Single-Valued Neutrosophic Fuzzy Matrix (SVNFM), which consists of entries that are all single-valued neutrosophic fuzzy sets (SVNFS). Our objective is to provide a practical tool for dealing with uncertain and indeterminate input. To achieve this, we first define a neutrosophic fuzzy matrix (NFM) and discuss its fundamental properties. The use of various operations in decision making is a notable characteristic of single-valued neutrosophic fuzzy matrices (SVNFMs). In this paper, we propose a multicriteria group decision-making method that incorporates novel operations on neutrosophic fuzzy matrices. Finally, we present a case study to demonstrate the effectiveness of the proposed strategy.

groups
Priya Mathews mail -
Lovelymol Sebastian mail -
Baiju Thankachan mail
link https://doi.org/10.54216/IJNS.230301

Volume & Issue

Vol. Volume 23 / Iss. Issue 3

Details open_in_new

New type of Diophantine neutrosophic aggregation operators and its extension

We introduce the concept of new type of Diophantine neutrosophic set. A Diophatine neutrosophic set is the new type of a neutrosophic set and Diophatine fuzzy set (DioFS). We discuss Diophantine neutrosophic weighted averaging (DioNWA), Diophantine neutrosophic weighted geometric (DioNWG), generalized Diophantine neutrosophic weighted averaging(GDioNWA), generalized Diophantine neutrosophic weighted geometric (GDioNWG). In this article, we define the Euclidean distance (ED), Hamming distance (HD) and operator laws. By analyzing new type of Diophantine neutrosophic set through algebraic operations, we discuss its properties.

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M. Palanikumar mail -
K. Arulmozhi mail -
K. Sundareswari mail -
Aiyared Iampan mail
link https://doi.org/10.54216/IJNS.230302

Volume & Issue

Vol. Volume 23 / Iss. Issue 3

Details open_in_new

Some Operations on Trapezoidal Single Valued Neutrosophic Fuzzy Numbers

Almost all situations that arise in applied mathematics involve uncertainty, inconsistency, and indeterminacy. This can be simultaneously handled by the use of single valued neutrosophic fuzzy sets and single valued neutrosophic fuzzy numbers. In this paper, we propose the operations of addition, subtraction, and scalar  multiplication on trapezoidal single valued neutrosophic fuzzy numbers. We introduce some component-wise interval operations on the union of closed bounded intervals. Then we show how this can be used to perform the proposed operations on trapezoidal single valued neutrosophic fuzzy numbers with the help of finite α− cuts, finite β− cuts, finite γ− cuts, and finite δ− cuts, which we define in this paper itself.

groups
Ligin P. Mathew mail -
Lovelymol Sebastian mail -
Baiju Thankachan mail
link https://doi.org/10.54216/IJNS.230303

Volume & Issue

Vol. Volume 23 / Iss. Issue 3

Details open_in_new

A Specific Category of Harmonic Functions Characterized By A Generalized Komatu Operator in Conjunction With The (R-K) Integral Operator and Applications to Neutrosophic Complex Field

In our work, we introduced a distinct subclass of univalent harmonic functions referred to as a subclass of chiral functions. These functions are defined by combining the generalized Komatu operator with the integral operator (R − K), which has positive coefficients within the unit disc A. Also, we generalize the same subclass into neutrosophic complex numbers. Throughout our investigation, we establish several properties associated with these functions, including coefficient estimates, the convex formula, the integral operator, and the Hadamard product. On the other hand, we present the Neutrosophic convex formula and the neutrosophic integral operator.

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Audy Hatim Saheb mail -
Rafid Habib Buti mail
link https://doi.org/10.54216/IJNS.230304

Volume & Issue

Vol. Volume 23 / Iss. Issue 3

Details open_in_new

Research on the Classification and Application of Physical Education Teaching Mode by Neutrosophic Analytic Hierarchy Process

The goal of this paper is to classify and application of Physical Education (PE). PE growth rapidly these days due to rapid development in information technology. This rapid turn over the sports, training and physical education. So, this paper identifies the application of PE by using the Multi-Criteria Decision Making (MCDM) concept. This problem contains many criteria and sub-criteria. This paper proposed the Analytic Hierarchy Process (AHP) to determine the weights of criteria and sub-criteria. The AHP method was used under a neutrosophic environment to deal with uncertainty in this problem. An example is provided to show the outcomes of the proposed method.

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Javier Gamboa-Cruzado mail -
Eduardo Morante-Palomino mail -
Cristina Alzamora Rivero mail -
María Lima Bendezú mail -
Dante Manuel M. Fernández mail
link https://doi.org/10.54216/IJNS.230305

Volume & Issue

Vol. Volume 23 / Iss. Issue 3

Details open_in_new

A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties

This paper is dedicated to study the algebraic structures that are related to symbolic 16-plithogenic/17-plithogenic with symbolic plithogenic real entries, where symbolic 16-plithogenic/17-plithogenic eigenvectors and values will be discussed and presented in terms of theorems. As well as, the computation of determinants, inverses, and eigenvalues and vectors.

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Javier Gamboa-Cruzado mail -
Renatto Oyague Guerra mail -
Enrique Condor Tinoco mail -
Guillermo Paucar-Carlos mail -
Juan Gamarra Moreno mail -
Warshine Barry mail
link https://doi.org/10.54216/IJNS.230306

Volume & Issue

Vol. Volume 23 / Iss. Issue 3

Details open_in_new

Innovative Perspective on Neutrosophic Cubic Z-Algebras

This study explores an innovative perspective on neutrosophic cubic Z-algebras, delving into the theoretical framework within mathematical structures. Through a comprehensive analysis, we uncover unique insights that contribute to the advancement of algebraic methodologies, particularly in handling uncertainties represented by neutrosophic elements. This work aims to present the idea of neutrosophic cubic sets in Z-algebras, as well as the usage of false membership function, truth, and indeterminacy in Z-algebras. Further, the results on -union, -intersection, -union, and -intersection of neutrosophic cubic Z-subalgebras are provided. This paper also discusses homomorphisms of Z-algebras and its associated characteristics.

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G. Nisha Devi mail -
P. Hemavathi mail -
R. Vinodkumar mail -
P. Muralikrishna mail -
Aiyared Iampan mail
link https://doi.org/10.54216/IJNS.230307

Volume & Issue

Vol. Volume 23 / Iss. Issue 3

Details open_in_new

Utilization of neutrosophic Kuhn-Tucker’s optimality conditions for Solving Pythagorean fuzzy Two-Level Linear Programming Problems

This article considers a bi-level linear programming with single valued trapezoidal fuzzy neutrosophic cost coefficient matrix and Pythagorean fuzzy parameters in the set of constraints both in the right and left sides. Based on the score functions of the neutrosophic numbers and Pythagorean fuzzy numbers, the model is changed to the corresponding crisp bi-level linear programming (BLP) problem. This problem is designated as a Pythagorean fuzzy bi-level linear programming (PFBLP) problem under neutrosophic environment. Kuhn-Tucker's conditions for optimality are necessary and sufficient for the existence of the optimal solution to a BLP problem. Using the suggested methodology, the problem is formulated as a single-objective non-linear programming problem with several variables and constraints. Two typical numerical examples are examined to illustrate the proposed approach.

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Hamiden Abd El- Wahed Khalifa mail -
Ashraf Al-Quran mail -
Faisal Al-Sharqi mail -
Binyamin Yusoff mail -
Khadiga W. Nahar Tajer mail -
Abeer T. Faisal mail -
Ali M. Alorsan Bany Awad mail
link https://doi.org/10.54216/IJNS.230308

Volume & Issue

Vol. Volume 23 / Iss. Issue 3

Details open_in_new

Group decision-making algorithm based on AOs settings for single-valued neutrosophic fuzzy soft expert environment

The incorporation of expert opinions and handling of data uncertainty are addressed by Al-Alkhazaleh through the introduction of a soft expert set. This extension of the soft set framework aims to enhance the analysis and decision-making processes by incorporating expert knowledge. On the other hand, the utilization of single neutrosophic sets (SVNSs) and fuzzy sets (FSs) has been introduced as models to effectively handle uncertain data. In this work, the authors propose a model that combines the essential characteristics of fuzzy sets (FSs) and single neutrosophic sets (SVNSs) within expert systems. Consequently, this model aims to offer decision-makers increased flexibility when interpreting uncertain information, empowering them in the decision-making process. From a scientific point of view, the process of evaluating this high-performance SVNFSES disappears. Therefore, in this paper, we initiated a new approach known as single-valued neutrosophic fuzzy soft expert sets (SVNFSESs) as a new development in a fuzzy soft computing environment. We investigate some fundamental operations on SVNFSESS along with their basic properties. Also, we investigate AND and OR operations between two SVNFSESS as well as several numerical examples to clarify the above fundamental operations. Finally, we have given an aggregation operator (AO) for SVNFSESs to construct a new algorithm to demonstrate the method’s effectiveness in handling some real-life applications.

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Faisal Al-Sharqi mail -
Ashraf Al-Quran mail -
Badria A. Ali Yousif mail -
Abeer T. Faisal mail -
Hamiden Abd El- Wahed Khalifa mail -
Mona Aladil mail -
Abd Elazeem M. Abd Elazeem mail
link https://doi.org/10.54216/IJNS.230309

Volume & Issue

Vol. Volume 23 / Iss. Issue 3

Details open_in_new

Analyzing the Impact of Distributed Data and Knowledge-Based Systems on Knowledge Management: A Systematic Mapping Study

Knowledge management is a critical aspect of modern organizations seeking to harness their collective intelligence and remain competitive in a dynamic business environment. With the advent of distributed data and knowledge-based systems, the landscape of knowledge management is undergoing significant transformations. This systematic mapping study aims to provide a comprehensive overview of the current state of knowledge management within the context of distributed environments and knowledge-based systems, shedding light on the key trends and challenges that shape this evolving field. Our study employs a systematic mapping methodology to analyze a wide array of scholarly articles, conference papers, and research reports. Through a structured review process, we identify and categorize relevant publications, facilitating a holistic understanding of the relationships between distributed data and knowledge-based systems in the realm of knowledge management. By mapping the existing literature, we uncover emerging themes, gaps, and areas of interest in this interdisciplinary domain. Key findings reveal the increasing role of distributed systems in enhancing knowledge sharing, collaboration, and decision-making processes. However, challenges related to data security, interoperability, and system integration also surface as important considerations. The systematic mapping study not only offers insights into the current state of knowledge management but also provides a foundation for future research directions and practical implications for organizations striving to optimize knowledge utilization in distributed settings. In conclusion, this research contributes to a deeper understanding of how distributed data and knowledge-based systems are shaping knowledge management practices and provides a roadmap for scholars and practitioners alike to navigate this evolving terrain.

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Rakhimova Gulnoza mail
link https://doi.org/10.54216/IJAACI.040205

Volume & Issue

Vol. Volume 4 / Iss. Issue 2

Details open_in_new