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On Neutrosophic Crisp G#Α Closed Set Operators, K. Tharani, V. Kokilavani
On Neutrosophic Crisp G#Α Closed Set Operators, K. Tharani, V. Kokilavani
Neutrosophic Sets and Systems
The concept of g#α closed set in general topological spaces was first introduced by Muthukumaraswamy K et. al.,. Recently, kokilavani V, Tharani K et. al., introduced neutrosophic crisp g#α closed set in neutrosophic crisp topological space. Now, in this present paper, we introduced and study the neutrosophic crisp topological properties of neutrosophic crisp g#α interior, neutrosophic crisp g#α closure, neutrosophic crisp g#α frontier, neutrosophic crisp g#α border, neutrosophic crisp g#α exterior via the concept of neutrosophic crisp g#α open set.
Study Of The Immunoserological Patterns Of Respiratory Infections In Children Under 15 Years Of Age In The Riobamba Region Based On Refined Neutrosophic Statistics, Lizbeth Geovanna Silva Guayasamín, Christian Andrés Silva Sarabia, Lisbeth Josefina Reales Chacón, Isaac Germán Pérez Vargas, Natalia Eliana Cáceres Cadena, Cesar Lenin Pilamunga Lema, Carlos Antonio Escobar Suárez, María José Terán Bejarano
Study Of The Immunoserological Patterns Of Respiratory Infections In Children Under 15 Years Of Age In The Riobamba Region Based On Refined Neutrosophic Statistics, Lizbeth Geovanna Silva Guayasamín, Christian Andrés Silva Sarabia, Lisbeth Josefina Reales Chacón, Isaac Germán Pérez Vargas, Natalia Eliana Cáceres Cadena, Cesar Lenin Pilamunga Lema, Carlos Antonio Escobar Suárez, María José Terán Bejarano
Neutrosophic Sets and Systems
Acute respiratory infection (ARI) is an important cause of consultation in the emergency room and depending on the general condition of the person; it can become complicated and lifethreatening. The general objective of this study is to identify the immunoserology of acute respiratory infections in children under 15 years of age in the city of Riobamba, Ecuador in 2023; it consists of a statistical study in 85 children and adolescents. This research made it possible to identify the presence or absence of acute respiratory infections. The infections found are provoked by viruses, atypical bacteria, or a combination of both pathogens. …
On Supra Neutrosophic Multiset Topological Spaces, S. P. R. Priyalatha, S. Vanitha, R. Sowndariya, S. Deeipthi
On Supra Neutrosophic Multiset Topological Spaces, S. P. R. Priyalatha, S. Vanitha, R. Sowndariya, S. Deeipthi
Neutrosophic Sets and Systems
In this article, we present a novel concept of the supra neutrosophic multiset topological space. We describe the behaviour of neutrosophic sets and multiset with in this framework. Additionally, we define the supra neutrosophic open multiset (SNOMS), supra neutrosohic closed multiset (SNCMS), supra neutrosophic interior multiset, and supra neutrosophic closure multiset, and provide examples to illustrate their properties
On Perserving Neutrosophic G-Closed Sets, Archana Kumari Prasad, Samajh Singh Thakur, Saeid Jafari
On Perserving Neutrosophic G-Closed Sets, Archana Kumari Prasad, Samajh Singh Thakur, Saeid Jafari
Neutrosophic Sets and Systems
In this paper we extend the concepts of a-closed and a-continuous mappings to neutrosophic topological spaces and obtain several results concerning the preservation of neutrosophic g-closed sets. Further more we characterize neutrosophic T12 -spaces in terms of neutrosophic a-continuous and neutrosophic a-closed mappings and obtain some of the basic properties and characterization of these mappings
Schweizer-Sklar Power Aggregation Operators Based On Complexsingle-Valued Neutrosophic Information Using Smart And Their Application In Green Supply Chain Management, Priyadharshini S, Mohanaselvi S
Schweizer-Sklar Power Aggregation Operators Based On Complexsingle-Valued Neutrosophic Information Using Smart And Their Application In Green Supply Chain Management, Priyadharshini S, Mohanaselvi S
Neutrosophic Sets and Systems
A complex single-valued neutrosophic (CSVN) set is a very useful tool to handle the uncertainty, inconsistency, and ambiguity of knowledge in a periodic framework. The Schweizer-Sklar (SS) t-norm (TN) and t-conorm (TCN) enhance the flexibility of a procedure for aggregation depending on its parameters, whereas the power aggregation(PA) operator prevents insufficient impact of excessively high or low arguments on the results. Based on the idea of Schweizer-Sklar power aggregation operators, this paper aims to propose a number of aggregation operators such as complex single-valued neutrosophic Schweizer-Sklar power weighted averaging (CSVNSSPWA), complex single-valued neutrosophic Schweizer-Sklar power ordered weighted averaging (CSVNSSPOWA). Weights …
Spherical Fermatean Neutrosophic Topology, P. Roopadevi, M. Karpagadevi, S. Gomathi, S. Krishnaprakash, Said Broumi
Spherical Fermatean Neutrosophic Topology, P. Roopadevi, M. Karpagadevi, S. Gomathi, S. Krishnaprakash, Said Broumi
Neutrosophic Sets and Systems
In this paper, we introduce Spherical Fermatean Neutrosophic Topological Spaces (SFNTS), ex- panding on neutrosophic sets characterized by Degrees of Membership (DoM), Degrees of Indeterminacy (DoI) and Degrees of Non-Membership (DoN). Fermatean neutrosophic sets in a universe satisfy the conditions where the sum of the cubes of the DoM and DoN is between zero and one and the cube of the DoI is between zero and one. The DoM, DoI and DoN are represented accordingly. We de ne a Spherical Fermatean Neutrosophic Set (SFNS) as a set where each element consists of an element in the universe, along with its …
Neutrosophic Set Connected Mappings, S. S. Thakur, S. Jafari, G. Nordo
Neutrosophic Set Connected Mappings, S. S. Thakur, S. Jafari, G. Nordo
Neutrosophic Sets and Systems
In this paper, the concept of neutrosophic connectedness between neutrosophic sets in neutrosophic topological spaces has been introduced. It is shown that a neutrosophic topological space is neutrosophic connected if and only if it is neutrosophic connected between every pair of its nonempty neutrosophic sets. Further, a new class of mappings called neutrosophic set connected mappings has been defined. It is shown that the class of all neutrosophic continuous mappings is a subclass all neutrosophic set-connected mappings. Several properties and characterizations of neutrosophic set-connected mappings in neutrosophic topological spaces have been studied.
Modified Explicit Scheme For Solving Neutrosophic Fuzzy Heat Equation, Hamzeh Zureigat
Modified Explicit Scheme For Solving Neutrosophic Fuzzy Heat Equation, Hamzeh Zureigat
Neutrosophic Sets and Systems
In this paper, an explicit finite difference method is developed and applied for the first time to solve the neutrosophic fuzzy heat equation. For this purpose, the triangular neutrosophic number is used in both the neutrosophic exact and numerical solution. In addition, solutions of neutrosophic fuzzy heat equation were observed at the (��, ��, ��)-cut with varied time scales. Also, the error between the analytical and numerical solution obtained on the (��, ��, ��)-cut is evaluated and illustrated. A good amount of agreement is seen using closed-form and numerical solutions.
Various Degrees Of Directed Single Valued Neutrosophic Graphs, V. Visalakshi, D. Keerthana, C. Rajapandiyan, Saeid Jafari
Various Degrees Of Directed Single Valued Neutrosophic Graphs, V. Visalakshi, D. Keerthana, C. Rajapandiyan, Saeid Jafari
Neutrosophic Sets and Systems
This paper introduces the concept of Directed Single Valued Neutrosophic Graphs (DSVNG) and explains how to determine the degree and total degree of vertices, considering both indegree and outdegree, along with the maximum and minimum degrees of a DSVNG. The properties of these aspects are analyzed through examples. Additionally, the paper identifies the effective edges of a DSVNG and explores the effective indegree, effective outdegree of vertices, as well as the effective maximum and minimum degrees in relation to indegree and outdegree with examples.
A Study On The Number Of Neutrosophic Crisp Topological Spaces In A Finite Set, Jili Basumatary, Bhimraj Basumatary
A Study On The Number Of Neutrosophic Crisp Topological Spaces In A Finite Set, Jili Basumatary, Bhimraj Basumatary
Neutrosophic Sets and Systems
The computation of formulae for the number of topological spaces is one of the challenging areas of study. The present work aims to find formulae to compute the number of neutrosophic crisp topological spaces having 2-NCrOSs, 3-NCrOSs, and 4-NCrOSs.
Application Of Neutrosophic Fourier Transform In Solving Heat Equation And Integral Equation, Prasen Boro, Bhimraj Basumatary
Application Of Neutrosophic Fourier Transform In Solving Heat Equation And Integral Equation, Prasen Boro, Bhimraj Basumatary
Neutrosophic Sets and Systems
Fourier transform is one of the oldest and well-known technique in the field of mathematics and engineering mathematical works. As the concept of uncertainty has been introduced in the mathematics, most of the works gravitate towards the use Neutrosophic set. So, it is also important to study the Fourier transform in the sense of Neutrosophic set. In this paper we have applied the Neutrosophic Fourier transform in solving heat equation, and integral equation. Where detailed examples are given to clarify each case
More On Neutrosophic Topology, S. Jafari, G. Nordo, S. S. Thakur
More On Neutrosophic Topology, S. Jafari, G. Nordo, S. S. Thakur
Neutrosophic Sets and Systems
The aim of this paper is to introduce the notion of neutrosophic singletons and the induced neutrosophic topology. We also study some of its basic properties.
(M,A,N)-Fuzzy Neutrosophic Sets And Their Topological Structure, Samajh Singh Thakur, Saeid Jafari
(M,A,N)-Fuzzy Neutrosophic Sets And Their Topological Structure, Samajh Singh Thakur, Saeid Jafari
Neutrosophic Sets and Systems
In this paper the concept of (m, a, n)-fuzzy neutrosophic set is introduced and its basic operations are studied. It is shown by examples that the class of (m, a, n)-fuzzy neutrosophic sets properly contains the class of q-rung orthopair neutrosophic sets. Moreover, a topological structure on (m, a, n)-fuzzy neutrosophic sets is created, and the topological notions such as closure, interior, subspace, connectedness, and separation axioms, are extended to (m, a, n)-fuzzy neutrosophic sets and explore their properties in (m, a, n)-fuzzy neutrosophic topological spaces.
On The Algebra Of Possibly Paraconsistent Sets, Tomasz Witczak
On The Algebra Of Possibly Paraconsistent Sets, Tomasz Witczak
Neutrosophic Sets and Systems
In this paper we define the notion of possibly paraconsistent sets. We introduce algebraic operations on them and we analyze their properties. Moreover, it is shown that our class can be considered as isomorphic to the classes of intuitionistic and weak rough sets (with the assumption that intersection, union and complement are understood in an appropriate manner). Hence, the framework of paraconsistent sets can be treated as a new semantics for three-valued logic. Two less typical operations on possibly paraconsistent sets are studied too. They do not give us de Morgan algebra but rather a bisemilattice with only one absorption …
Key Performance Indicators In Technology Firms Using Generalized Fermatean Neutrosophic Competition Graph, Wadei Faris Al-Omeri, M Kaviyarasu, M Rajeshwari
Key Performance Indicators In Technology Firms Using Generalized Fermatean Neutrosophic Competition Graph, Wadei Faris Al-Omeri, M Kaviyarasu, M Rajeshwari
Neutrosophic Sets and Systems
This study investigates fermatean neutrosophic digraphs, generalized fermatean neutrosophic digraphs, and the out-neighborhood of vertices inside generalized fermatean neutrosophic digraphs. It looks at the qualities and characteristics of generalized fermatean neutrosophic competition graphs and their matrix representations. It also establishes the minimal graph, competition number for generalized fermatean neutrosophic competition graphs, and relevant features. Finally, the paper addresses a practical implementation of these ideas.
Plithogenic Forest Hypersoft Sets In Plithogenic Contradiction Based Multi-Criteria Decision Making, P. Sathya, Nivetha Martin, Florentine Smarandache
Plithogenic Forest Hypersoft Sets In Plithogenic Contradiction Based Multi-Criteria Decision Making, P. Sathya, Nivetha Martin, Florentine Smarandache
Neutrosophic Sets and Systems
Plithogenic based decision making approaches are more versatile and accommodative with regard to attribute handling This paper introduces the concepts of Plithogenic Forest hypersoft set (PFHS) and develops a Plithogenic centered decision-making model with PFHS representations. The Plithogenic method of devising decisions based on contradictions is integrated with the newly introduced representations of PFHS to develop a robust decision-making technique to deal with attributes and sub-attributive values at a larger scale. The integrated method proposed in this work is applied to a decision-making problem of site selection for establishing manufacturing plants. The core attributes are identified and the respective Plithogenic …
Integrated Merec-Cocoso Approach Using Score Function Ofneutrosophic For Location Selection Of Special Economic Zone, Debashis Ghosh, Bahnishikha Roy Muhuri, G. S. Mahapatra, B. S. Mahapatra
Integrated Merec-Cocoso Approach Using Score Function Ofneutrosophic For Location Selection Of Special Economic Zone, Debashis Ghosh, Bahnishikha Roy Muhuri, G. S. Mahapatra, B. S. Mahapatra
Neutrosophic Sets and Systems
Special economic zones (SEZs) are essential if a developing country is to boost economic growth. The selection of an SEZ site might be viewed as a multi-criteria decision-making (MCDM) difficulty because of the many conflicting aspects connected to different locations. This work presents a flexible neutrosophic MCDM approach for optimal SEZ site search. The single-valued neutrosophic sets transform the qualitative evaluation of the criteria for SEZ alternatives into a quantitative evaluation. The method based on removal effect on criteria (MEREC) approach is improved in a neutrosophic environment to ascertain the relevance of every characteristic of SEZ alternatives. We suggested a …
Strategy Selection For Natural Resource Conservation Capturingvagueness Through Integrated Neutrosophic Critic-Maircaapproach, Bahnishikha Roy Muhuri, M. K. Mondal, Florentin Smarandache, G. S. Mahapatra, B. S. Mahapatra
Strategy Selection For Natural Resource Conservation Capturingvagueness Through Integrated Neutrosophic Critic-Maircaapproach, Bahnishikha Roy Muhuri, M. K. Mondal, Florentin Smarandache, G. S. Mahapatra, B. S. Mahapatra
Neutrosophic Sets and Systems
Conservation of natural resources like water, soil, and biodiversity is necessary for ecological balance and human survival. This article aims to identify potential ways to conserve natural resources while maintaining a balance between ecology and human survival. An integrated neutrosophic CRiteria Importance Through Intercriteria (CRITIC)-Multi-Atributive Ideal-Real Comparative Analysis (MAIRCA) approach is developed to handle uncertain and inconsistent information. The linguistic assessments of the criteria are quantified through single-valued neutrosophic sets (SVNSs). The CRITIC method evaluates the criteria weights to avoid subjective and biased assessments. The MAIRCA approach is improved in a neutrosophic context to identify the ranking of the alternatives. …
On The Basics Of Neutrosophic Homotopy Theory, S. Jafari, N. Rajesh, G. Nordo
On The Basics Of Neutrosophic Homotopy Theory, S. Jafari, N. Rajesh, G. Nordo
Neutrosophic Sets and Systems
In this paper, we introduce and study the concept of neutrosophic homotopic functions using topological properties. Also, we obtain some properties of neutrosophic homotopic functions and concept of neutrosophic homotopy.
Neutrosophic Rhotrices For Improved Diagnostic Accuracy Through Score Rhotrix Computation, Ananda Priya B, Gnanachandra P, Saeid Jafari, Florentin Smarandache
Neutrosophic Rhotrices For Improved Diagnostic Accuracy Through Score Rhotrix Computation, Ananda Priya B, Gnanachandra P, Saeid Jafari, Florentin Smarandache
Neutrosophic Sets and Systems
We introduce neutrosophic rhotrices, which serve as a novel extension of neutrosophic matrices. The primary objective is to establish the foundational structure for neutrosophic rhotrices and to define crucial operations that can be performed on them. We explore the concept of neutrosophic rhotrices in depth, outlining the fundamental operations necessary for their effective manipulation. Furthermore, we investigate the essential properties of neutrosophic rhotrices utilizing these newly established operations. In addition, we provide an algorithm designed to enhance decision-making processes in medical diagnostics, supported by an illustrative example to clarify its application.
Neutrosophic Sets And Systems {Special Issue: Mediterranean Conference On Three Decades Of Neutrosophic And Plithogenic Theories And Applications (Meconet 2024)}, Vol. 73, 2024, Florentin Smarandache, Mohamed Abdel-Basset, Giorgio Nordo, Maikel Y. Leyva-Vázquez
Neutrosophic Sets And Systems {Special Issue: Mediterranean Conference On Three Decades Of Neutrosophic And Plithogenic Theories And Applications (Meconet 2024)}, Vol. 73, 2024, Florentin Smarandache, Mohamed Abdel-Basset, Giorgio Nordo, Maikel Y. Leyva-Vázquez
Neutrosophic Sets and Systems
the whole volume
Three Decades Of Neutrosophic And Plithogenic Theories With Their Applications (1995 - 2024), Florentin Smarandache
Three Decades Of Neutrosophic And Plithogenic Theories With Their Applications (1995 - 2024), Florentin Smarandache
Neutrosophic Sets and Systems
No abstract provided.
On Extension Of Metricspace To Neutro Hypermetricspace, Kianoosh Polvan
On Extension Of Metricspace To Neutro Hypermetricspace, Kianoosh Polvan
Neutrosophic Sets and Systems
Polvan introduced the impression of strong neutro metricspaces. He demonstrtated this impression depending on the neutro precepts from the neutro function one of the impressions of Smarandache. In this study, we introduce an extension of neutro metricspaces as neutro hypermetricspaces and investigated their qualities. We show that neutro hypermetricspaces are an extension of metricspaces and analyzed the relations between metricspaces and neutro hypermetricspaces. The basic impressions such as open positive-ball subsets and open negative-ball subsets are defined and are presented by some finite and finite neutro hypermetricspaces. Based on the open positive-ball subsets and open negative-ball subsets, we demonstrate the …
Neutrosophic Sets And Systems, Vol. 72,2024, Florentin Smarandache, Mohamed Abdel-Basset, Said Broumi
Neutrosophic Sets And Systems, Vol. 72,2024, Florentin Smarandache, Mohamed Abdel-Basset, Said Broumi
Neutrosophic Sets and Systems
the whole volume
The Extended Study Of 2-Refined Neutrosophic Numbers, Yaser Ahmad Alhasan, Florentin Smarandache, Abuobida Alfahal, Raja Abdullah Abdulfatah
The Extended Study Of 2-Refined Neutrosophic Numbers, Yaser Ahmad Alhasan, Florentin Smarandache, Abuobida Alfahal, Raja Abdullah Abdulfatah
Neutrosophic Sets and Systems
Numerical roots play a crucial role in real or complex equations, as well as in various mathematical models involving differentiation, integration, and other mathematical relationships. In the realm of mathematics, there is a growing trend of utilizing new formulas that incorporate non classical numbers, such as neutrosophic and refined neutrosophic numbers. The objective of this research is to establish precise and comprehensive mathematical procedures for dealing with refined neutrosophic roots within mathematical formulas, be it equations or other mathematical constructs. This paper presents an extensive study on 2-refined neutrosophic numbers, focusing on the square root of a 2-refined neutrosophic real …
Unveiling Uncertainty: Neutrosophic Set-Based Algorithms For Robust Decision-Making, A. A. Salama, Huda E. Khalid, Ahmed G. Mabrouk
Unveiling Uncertainty: Neutrosophic Set-Based Algorithms For Robust Decision-Making, A. A. Salama, Huda E. Khalid, Ahmed G. Mabrouk
Neutrosophic Sets and Systems
Traditional decision-making methods often struggle with inherent uncertainty and imprecision in data. Neutrosophic set-based algorithms offer a novel approach by incorporating degrees of truth, indeterminacy, and falsity. This paper explores the structure and implementation of these algorithms, highlighting their potential to handle real-world complexities. The application of neutrosophic sets in medical diagnosis is presented as a case study, demonstrating how the algorithm aids in evaluating probabilities for various diagnoses under uncertain conditions. The paper concludes by discussing limitations and potential applications in diverse fields.
The 2-Refined Neutrosophic Fraction Function And Its Integrals, Yaser Ahmad Alhasan, Suliman Sheen, Qusay Ahassan
The 2-Refined Neutrosophic Fraction Function And Its Integrals, Yaser Ahmad Alhasan, Suliman Sheen, Qusay Ahassan
Neutrosophic Sets and Systems
The goal of this article is to study the 2-refined neutrosophic fraction function and its integrals. We were defining the 2-refined neutrosophic fraction function and discussing Algorithm for finding the integral of the 2-refined neutrosophic proper rational function and introduce the integral of the 2-refined neutrosophic improper rational functions. Where each case was explained by given specific examples
A Novel And An Efficient Codas Technique To Solve Real-Life Magdm Problems In Fermatean Neutrosophic Environment, S. Bhuvaneshwari, C. Antony Crispin Sweety, Akanksha Singh, Said Broumi, Mohamed Talea, Prasanta Kumar Raut
A Novel And An Efficient Codas Technique To Solve Real-Life Magdm Problems In Fermatean Neutrosophic Environment, S. Bhuvaneshwari, C. Antony Crispin Sweety, Akanksha Singh, Said Broumi, Mohamed Talea, Prasanta Kumar Raut
Neutrosophic Sets and Systems
As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets, and their combinations have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. A neutrosophic set has the potential to be a general framework for uncertainty analysis in various spectra. On the other hand, the idea of Fermatean neutrosophic sets (FNSs) is the hybrid model of Fermatean fuzzy sets and neutrosophic sets, developed to enable the analytical management of ambiguous data from relatively typical real world decision-making scenarios. In this work, we develop an algorithm to compare the Fermatean neutrosophic set and …
The Cubic Bipolar Neutrosophic Sets Theory And Uncertainty Management In Environmental Data Analysis, A. A. Salama, Huda E. Khalid, Ahmed G. Mabrouk
The Cubic Bipolar Neutrosophic Sets Theory And Uncertainty Management In Environmental Data Analysis, A. A. Salama, Huda E. Khalid, Ahmed G. Mabrouk
Neutrosophic Sets and Systems
Environmental data analysis often faces uncertainties in measurements. Cubic Bipolar Neutrosophic Sets (CBN Sets) provide a powerful framework to address this challenge. This paper explores the mathematical foundations of CBN Sets and highlights their practical applications through illustrative examples. We demonstrate how CBN Sets effectively capture varying degrees of certainty, possibility, and impermanence in environmental parameters. The concept of inclusion relations facilitates comparisons and information fusion. Fundamental set operations (intersection, union, complement) are explored for manipulating and analyzing uncertain environmental data. We present the application of CBN Sets in water quality assessment, highlighting their ability to analyze parameters while accounting …
The Structure Of The Binary Two Fold Algebra Based On Intuitionistic Fuzzy Groups, Ramazan Yasar, Ahmed Hatip
The Structure Of The Binary Two Fold Algebra Based On Intuitionistic Fuzzy Groups, Ramazan Yasar, Ahmed Hatip
Neutrosophic Sets and Systems
In this paper, we study the binary two-fold algebra built over intuitionistic fuzzy groups, where the two-fold binary operations and some related substructures such as binary two-fold sub-algebras of intuitionistic fuzzy groups two-fold algebras, binary two-fold centers, binary normality, binary two-fold group products. On the other hand, we illustrate many examples to explain the validity of our discussion