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An Introduction To Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings, Nader Mahmoud Taffach, Khadija Ben Othman Apr 2023

An Introduction To Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings, Nader Mahmoud Taffach, Khadija Ben Othman

Neutrosophic Sets and Systems

No abstract provided.


An Introduction To Symbolic 2-Plithogenic Vector Spaces Generated From The Fusion Of Symbolic Plithogenic Sets And Vector Spaces, Nader Mahmoud Taffach Apr 2023

An Introduction To Symbolic 2-Plithogenic Vector Spaces Generated From The Fusion Of Symbolic Plithogenic Sets And Vector Spaces, Nader Mahmoud Taffach

Neutrosophic Sets and Systems

No abstract provided.


On The Symbolic 3-Plithogenic Rings And Their Algebraic Properties, Othman Al Basheer, Arwa Hajjari, Rasha Dalla Apr 2023

On The Symbolic 3-Plithogenic Rings And Their Algebraic Properties, Othman Al Basheer, Arwa Hajjari, Rasha Dalla

Neutrosophic Sets and Systems

No abstract provided.


On The Algebraic Properties Of 2-Cyclic Refined Neutrosophic Matrices And The Diagonalization Problem, Ramas Asad Nadweh, Rozina Ali, Maretta Sarkis Apr 2023

On The Algebraic Properties Of 2-Cyclic Refined Neutrosophic Matrices And The Diagonalization Problem, Ramas Asad Nadweh, Rozina Ali, Maretta Sarkis

Neutrosophic Sets and Systems

No abstract provided.


On The Classification Of The Group Of Units Of Rational And Real 2-Cyclic Refined Neutrosophic Rings, Hasan Sankari, Mohammad Abobala Apr 2023

On The Classification Of The Group Of Units Of Rational And Real 2-Cyclic Refined Neutrosophic Rings, Hasan Sankari, Mohammad Abobala

Neutrosophic Sets and Systems

No abstract provided.


On Some Algorithms For Solving Different Types Of Symbolic 2-Plithogenic Algebraic Equations, Ahmad Khaldi, Khadija Ben Othman, Oliver Von Shtawzen, Rozina Ali, Sarah Jalal Mosa Apr 2023

On Some Algorithms For Solving Different Types Of Symbolic 2-Plithogenic Algebraic Equations, Ahmad Khaldi, Khadija Ben Othman, Oliver Von Shtawzen, Rozina Ali, Sarah Jalal Mosa

Neutrosophic Sets and Systems

No abstract provided.


On The Symbolic 2-Plithogenic Number Theory And Integers, Hamiyet Merkepci, Ammar Rawashdeh Apr 2023

On The Symbolic 2-Plithogenic Number Theory And Integers, Hamiyet Merkepci, Ammar Rawashdeh

Neutrosophic Sets and Systems

No abstract provided.


Algebraic Approach To Literal Neutrosophic Kumaraswamy Probability Distribution, Mohammad Bisher Zeina, Mohammad Abobala, Ahmad Hatip, Said Broumi, Sarah Jalal Mosa Apr 2023

Algebraic Approach To Literal Neutrosophic Kumaraswamy Probability Distribution, Mohammad Bisher Zeina, Mohammad Abobala, Ahmad Hatip, Said Broumi, Sarah Jalal Mosa

Neutrosophic Sets and Systems

No abstract provided.


A Review Study On Some Properties Of The Structure Of Neutrosophic Ring, Adel Al-Odhari Apr 2023

A Review Study On Some Properties Of The Structure Of Neutrosophic Ring, Adel Al-Odhari

Neutrosophic Sets and Systems

No abstract provided.


On The Refined Neutrosophic Real Analysis Based On Refined Neutrosophic Algebraic Ah-Isometry, Mohammad Bisher Zeina, Mohammad Abobala Apr 2023

On The Refined Neutrosophic Real Analysis Based On Refined Neutrosophic Algebraic Ah-Isometry, Mohammad Bisher Zeina, Mohammad Abobala

Neutrosophic Sets and Systems

No abstract provided.


Introduction To Neutrosophic Stochastic Processes, Mohammad Bisher Zeina, Yasin Karmouta Apr 2023

Introduction To Neutrosophic Stochastic Processes, Mohammad Bisher Zeina, Yasin Karmouta

Neutrosophic Sets and Systems

No abstract provided.


On The Roots Of Unity In Several Complex Neutrosophic Rings, Djamal Lhiani, Karla Zayood, Nader Mahmoud Taffach, Katy D. Ahmad Apr 2023

On The Roots Of Unity In Several Complex Neutrosophic Rings, Djamal Lhiani, Karla Zayood, Nader Mahmoud Taffach, Katy D. Ahmad

Neutrosophic Sets and Systems

No abstract provided.


A Study Of Algebraic Curves In Neutrosophic Real Ring R(I) By Using The One-Dimensional Geometric Ah-Isometry, Safwan Owera, Malath F. Al-Aswad Apr 2023

A Study Of Algebraic Curves In Neutrosophic Real Ring R(I) By Using The One-Dimensional Geometric Ah-Isometry, Safwan Owera, Malath F. Al-Aswad

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic Sets And Systems, Vol. 54, 2023, Special Issue On Neutrosophic Algebraic Structures, Neutroalgebra & Antialgebra And Superhyperalgebra & Neutrosophic Superhyperalgebra Contributions Of Researchers From The Arab World, Florentin Smarandache, Mohamed Abdel-Basset, Said Broumi, Mohammad Abobala Apr 2023

Neutrosophic Sets And Systems, Vol. 54, 2023, Special Issue On Neutrosophic Algebraic Structures, Neutroalgebra & Antialgebra And Superhyperalgebra & Neutrosophic Superhyperalgebra Contributions Of Researchers From The Arab World, Florentin Smarandache, Mohamed Abdel-Basset, Said Broumi, Mohammad Abobala

Neutrosophic Sets and Systems

No abstract provided.


Optimal Agricultural Land Use: An Efficient Neutrosophic Linear Programming Method, Maisam Jdid, Florentin Smarandache Jan 2023

Optimal Agricultural Land Use: An Efficient Neutrosophic Linear Programming Method, Maisam Jdid, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The increase in the size of the problems facing humans, their overlap, the division of labor, the multiplicity of departments, as well as the diversity of products and commodities, led to the complexity of business and the emergence of many administrative and production problems. It was necessary to search for appropriate methods to confront these problems. The science of operations research, with its diverse methods, provided the optimal solutions. It addresses many problems and helps in making scientific and thoughtful decisions to carry out the work in the best way within the available capabilities. Operations research is one of the …


The Encyclopedia Of Neutrosophic Researchers, Vol. 6, Florentin Smarandache, Maikel Yelandi Leyva Vázquez, Jesús Estupiñán Ricardo Jan 2023

The Encyclopedia Of Neutrosophic Researchers, Vol. 6, Florentin Smarandache, Maikel Yelandi Leyva Vázquez, Jesús Estupiñán Ricardo

Branch Mathematics and Statistics Faculty and Staff Publications

Este es el Sexto volumen de la Enciclopedia de Investigadores Neutróficos, editados a partir de materiales ofrecidos por los autores que respondieron a la invitación del editor. Los autores se enumeran alfabéticamente. La introducción contiene una breve historia de la neutrosófica, y en especial se sus impacto en latinoamérica junto con enlaces a los principales artículos y libros. Conjunto neutrosófico, lógica neutrosófica, probabilidad neutrosófica, estadística neutrosófica, medida neutrosófica, precálculo neutrosófico, cálculo neutrosófico, psicología neutrosófica, sociología neutrosófica etc., están ganando una atención significativa en resolver muchos problemas de la vida real que implican incertidumbre, imprecisión, vaguedad, incompletitud, inconsistencia e indeterminación. En …


N-Cylindrical Fuzzy Neutrosophic Topological Spaces, Sarannya Kumari R, Sunny Joseph Kalayathankal, Mathews George, Florentin Smarandache Jan 2023

N-Cylindrical Fuzzy Neutrosophic Topological Spaces, Sarannya Kumari R, Sunny Joseph Kalayathankal, Mathews George, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The objective of this study is to incorporate topological space into the realm of n-Cylindrical Fuzzy Neutrosophic Sets (n-CyFNS), which are the most novel type of fuzzy neutrosophic sets. In this paper, we introduce n-Cylindrical Fuzzy Neutrosophic Topological Spaces (n-CyFNTS), n-Cylindrical Fuzzy Neutrosophic (n-CyFN) open sets, and n-CyFN closed sets. We also defined the n-CyFN base, n-CyFN subbase, and some related theorems here.


Applications Of Extended Plithogenic Sets In Plithogenic Sociogram, S. Sudha, Nivetha Martin, Florentin Smarandache Jan 2023

Applications Of Extended Plithogenic Sets In Plithogenic Sociogram, S. Sudha, Nivetha Martin, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The theory of plithogeny developed by Smarandache is described as a more generalized form of representing sets of different nature such as crisp, fuzzy, intuitionistic and neutrosophic. Plithogenic set comprises degree of appurtenance and contradiction degree with respect only to the dominant attribute. This paper introduces extended plithogenic sets comprising degrees of appurtenance and contradiction with respect to both dominant and recessive attributes. The extension of the 5-tuple Plithogenic sets to a 7- tuple plithogenic sets helps in developing a more comprehensive kind of Plithogenic sociogram. The newly developed plithogenic sets and its implications in Plithogenic sociogram is validated by …


Medical Diagnosis Via Refined Neutrosophic Fuzzy Logic: Detection Of Illness Using Neutrosophic Sets, K. Hemabala, B. Srinivasa Kumar, Florentin Smarandache Jan 2023

Medical Diagnosis Via Refined Neutrosophic Fuzzy Logic: Detection Of Illness Using Neutrosophic Sets, K. Hemabala, B. Srinivasa Kumar, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The objective of the paper is to implement and validate diagnosis in the medical field via refined neutrosophic fuzzy logic (RNFL). As such, we have proposed a Max-Min composition (MMC) method in RNFL. This method deals with the diagnosis under certain constraints like uncertainty and indeterminacy. Further, we have considered the diagnosis problems to validate the sensitivity analysis of the novel multi attribute decision-making technique. Finally, we gave the graphical representations and compared the obtained results with other existing measures in refined neutrosophic fuzzy sets.


On Refined Neutrosophic Finite P-Group, Sunday Adesina Adebisi, Florentin Smarandache Jan 2023

On Refined Neutrosophic Finite P-Group, Sunday Adesina Adebisi, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we show that if any neutrosophic group of the sequence G (I), X1, X2, … is the identity, then G (I) is nilpotent.


An Overview Of Plithogenic Set And Symbolic Plithogenic Algebraic Structures, Florentin Smarandache Jan 2023

An Overview Of Plithogenic Set And Symbolic Plithogenic Algebraic Structures, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This paper is devoted to Plithogeny, Plithogenic Set, and its extensions. These concepts are branches of uncertainty and indeterminacy instruments of practical and theoretical interest. Starting with some examples, we proceed towards general structures. Then we present definitions and applications of the principal concepts derived from plithogeny, and relate them to complex problems.


New Types Of Soft Sets: Hypersoft Set, Indetermsoft Set, Indetermhypersoft Set, And Treesoft Set, Florentin Smarandache Jan 2023

New Types Of Soft Sets: Hypersoft Set, Indetermsoft Set, Indetermhypersoft Set, And Treesoft Set, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This is a review paper, where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.


Nidus Idearum. Scilogs, Xii: Seed & Heed, Florentin Smarandache Jan 2023

Nidus Idearum. Scilogs, Xii: Seed & Heed, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this twelfth book of scilogs – called seed & heed –, one may find topics on Neutrosophy, Superluminal Physics, Mathematics, Information Fusion, Philosophy, or Sociology – email messages to research colleagues, or replies, notes, comments, remarks about authors, articles, or books, spontaneous ideas, and so on.


Nidus Idearum. Scilogs, Xi: In-Turns And Out-Turns, Florentin Smarandache Jan 2023

Nidus Idearum. Scilogs, Xi: In-Turns And Out-Turns, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this eleventh book of scilogs – called in-turns and out-turns –, one may find new and old questions and solutions, referring mostly to topics on Neutrosophy, but also Multispace, with miscellaneous addition of topics on Physics, Mathematics, or Sociology – email messages to research colleagues, or replies, notes about authors, articles, or books, spontaneous ideas, and so on.


Pura Vida Neutrosophic Algebra, Florentin Smarandache, Ranulfo Paiva Barbosa (Sobrinho) Jan 2023

Pura Vida Neutrosophic Algebra, Florentin Smarandache, Ranulfo Paiva Barbosa (Sobrinho)

Branch Mathematics and Statistics Faculty and Staff Publications

We introduce Pura Vida Neutrosophic Algebra, an algebraic structure consisting of neutrosophic numbers equipped with two binary operations namely addition and multiplication. The addition can be calculated sometimes with the function min and other times with the max function. The multiplication operation is the usual sum between numbers. Pura Vida Neutrosophic Algebra is an extension of both Tropical Algebra (also known as Min-Plus, or Min-Algebra) and Max-Plus Algebra (also known as Max-algebra). Tropical and Max-Plus algebras are algebraic structures included in semirings and their operations can be used in matrices and vectors. Pura Vida Neutrosophic Algebra is included in Neutrosophic …


New Types Of Soft Sets: Hypersoft Set, Indetermsoft Set, Indetermhypersoft Set, And Treesoft Set - An Improved Version, Florentin Smarandache Jan 2023

New Types Of Soft Sets: Hypersoft Set, Indetermsoft Set, Indetermhypersoft Set, And Treesoft Set - An Improved Version, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This is an improved paper of [10], where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.


Lagrange Multipliers And Neutrosophic Nonlinear Programming Problems Constrained By Equality Constraints, Maissam Jdid, Florentin Smarandache Jan 2023

Lagrange Multipliers And Neutrosophic Nonlinear Programming Problems Constrained By Equality Constraints, Maissam Jdid, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Operations research science is defined as the science that is concerned with applying scientific methods to complex problems in managing and directing large systems of people, including resources and tools in various fields, private and governmental work, peace and war, politics, administration, economics, planning and implementation in various domains. It uses scientific methods that take the language of mathematics as a basis for it and uses computer, without which it would not have been possible to achieve numerical solutions to the raised problems, those that need correct solutions, when the solutions abound and the options are multiple, so we need …


New Similarity And Entropy Measures Of Temporal Complex Neutrosophic Set And Its Application In Multi-Criteria Decision Making, Luong Thi Hong Lan, Nguyen Tho Thong, Nguyen Long Giang, Florentin Smarandache, Vo Si Nam, Dinh Van Dzung Jan 2023

New Similarity And Entropy Measures Of Temporal Complex Neutrosophic Set And Its Application In Multi-Criteria Decision Making, Luong Thi Hong Lan, Nguyen Tho Thong, Nguyen Long Giang, Florentin Smarandache, Vo Si Nam, Dinh Van Dzung

Branch Mathematics and Statistics Faculty and Staff Publications

The Temporal complex neutrosophic set (TCNS) is an effective structure for resolving information that has uncertain, indeterminate, and timerelated factors in decision-making problems. In the last decade, many researchers focused on estimating the vagueness and ambiguity in knowledge using the theory of neutrosophic sets or extensions of neutrosophic sets. Similarity and entropy measures are valuable tools to measure information with the aim of dealing with real-life multi-criteria decisionmaking (MCDM) problems. However, the existing method did not care or interest in the information measures of TCNS. This paper proposes several new similarity and entropy measures under the TCNS environment. The suggested …


A Neutrosophic Decision-Making Model For Determining Young People’S Active Engagement, Mihaela Colhon, Monica Tilea, Ana Gonzalez-Marcos, Alina Resceanu, Florentin Smarandache, Fermin Navaridas-Naida Jan 2023

A Neutrosophic Decision-Making Model For Determining Young People’S Active Engagement, Mihaela Colhon, Monica Tilea, Ana Gonzalez-Marcos, Alina Resceanu, Florentin Smarandache, Fermin Navaridas-Naida

Branch Mathematics and Statistics Faculty and Staff Publications

Young people’s skills and attitudes must be observed, studied and evaluated in order to create appropriate models that would serve an educational purpose. In this paper, we propose a decision-making model with the aim to detect certain attitudinal and behavioural patterns of actively engaged young people. The data used in this research resulted from a questionnaire drawn up by a group of researchers from 6 European countries with the aim to investigate the youth’s awareness about the Sustainable Development Goals and their engagement as active agents of development and change at regional level. For the purpose of this study, we …


The Use Of Neutrosophic Methods Of Operation Research In The Management Of Corporate Work, Maissam Jdid, Florentin Smarandache Jan 2023

The Use Of Neutrosophic Methods Of Operation Research In The Management Of Corporate Work, Maissam Jdid, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The science of operations research is one of the modern sciences that have made a great revolution in all areas of life through the methods provided by it, suitable and appropriate to solve most of the problems that were facing researchers, scholars and those interested in the development of societies, and the most beneficiaries of this science were companies and institutions that are looking for scientific methods that help them manage their work so that they achieve the greatest profit and the lowest cost, and one of the important methods that have been used in the management of companies we …