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Isomorphism Theorem For Neutrosophic Submodules, R. Binu, P. Isaac Jan 2020

Isomorphism Theorem For Neutrosophic Submodules, R. Binu, P. Isaac

Applied Mathematics & Information Sciences

In this paper, we investigate some new features of neutrosophic submodules and their properties. The neutrosophic quotient module and restriction of a neutrosophic submodule to a submodule of R-module are defined. The three fundamental theorems of module isomorphism are extended to isomorphism of neutrosophic submodules.

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From Theory To Platform: Designing Software To Support Online Wisdom Communities, Casey Frechette, Charlotte Nirmalani Gunawardena, Ludmila Layne Jan 2020

From Theory To Platform: Designing Software To Support Online Wisdom Communities, Casey Frechette, Charlotte Nirmalani Gunawardena, Ludmila Layne

University Libraries & Learning Sciences Faculty and Staff Publications

Online wisdom communities provide virtual spaces for diverse learners to discover collaborative solutions to real-world problems. Working for the common good, communities based on wisdom encourage both individual and collective growth. Based on sociocultural theory, we developed an instructional design framework, “WisCom,” that guides educators in cultivating culturally inclusive online environments, such as courses and web-based training sessions. Within the WisCom framework, practitioners can tailor existing tools and platforms, such as Moodle and Sakai, to encourage collaborative discussion and problem-solving. However, a platform created with the tenets of WisCom in mind has not yet been designed. Based on our previous …

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Neutrosophic Hypothesis To Validate A Reform Project To Article 87 Of The General Organic Code Of Processes Of Ecuador, Patty Elizabeth Del Pozo Franco, Alex Javier Peñafiel Palacio, Iyo Alexis Cruz Piza Jan 2020

Neutrosophic Hypothesis To Validate A Reform Project To Article 87 Of The General Organic Code Of Processes Of Ecuador, Patty Elizabeth Del Pozo Franco, Alex Javier Peñafiel Palacio, Iyo Alexis Cruz Piza

Neutrosophic Sets and Systems

No abstract provided.

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Evaluating Strategies Of Continuing Education For Academics Supported In The Pedagogical Model And Based On Plithogenic Sets, Gustavo Álvarez Gómez, Jorge Viteri Moya, Jesús Estupiñán Ricardo, Cristina Belén Viteri Sanchez Jan 2020

Evaluating Strategies Of Continuing Education For Academics Supported In The Pedagogical Model And Based On Plithogenic Sets, Gustavo Álvarez Gómez, Jorge Viteri Moya, Jesús Estupiñán Ricardo, Cristina Belén Viteri Sanchez

Neutrosophic Sets and Systems

No abstract provided.

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Profiles Of Human Trafficking Violence In Regions Of Ecuador, Jorge Manuel Macías Bermúdez, Gisell Karina Arreaga Farias, Leonso Torres Torres Jan 2020

Profiles Of Human Trafficking Violence In Regions Of Ecuador, Jorge Manuel Macías Bermúdez, Gisell Karina Arreaga Farias, Leonso Torres Torres

Neutrosophic Sets and Systems

No abstract provided.

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Delphi Validation Of Educational Talkson The Treatmentof First Premolars Vertucci Type Iii, Tiana Mayerlin Rojas Uribe, Ariel Romero Fernández Liset Camaño Carballo, Tula Carola Sánchez Garcia Jan 2020

Delphi Validation Of Educational Talkson The Treatmentof First Premolars Vertucci Type Iii, Tiana Mayerlin Rojas Uribe, Ariel Romero Fernández Liset Camaño Carballo, Tula Carola Sánchez Garcia

Neutrosophic Sets and Systems

No abstract provided.

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Risk Factors Prioritization For Chronic Obstructive Pulmonary Disease, Lester Wong Vázquez, María Fernanda Cueva Moncayo, Laura Paola Advendaño Castro Jan 2020

Risk Factors Prioritization For Chronic Obstructive Pulmonary Disease, Lester Wong Vázquez, María Fernanda Cueva Moncayo, Laura Paola Advendaño Castro

Neutrosophic Sets and Systems

No abstract provided.

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Neutrosophic Case-Based Reasoning Method To Determine The Profitability Of The Tourism Sector In The City Of Riobamba, Mónica Tello Cadena, Manuel Fernando Jaramillo Burgos, Milton José Jiménez Montenegro Jan 2020

Neutrosophic Case-Based Reasoning Method To Determine The Profitability Of The Tourism Sector In The City Of Riobamba, Mónica Tello Cadena, Manuel Fernando Jaramillo Burgos, Milton José Jiménez Montenegro

Neutrosophic Sets and Systems

No abstract provided.

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Multicriteria Approach To Calculate The Index Of Promotion Of Legal Culture Using Neutrosophic Numbers, Rosa Leonor Maldonado Manzano, Marcia Esther Spain Herrería, Julián Santillán Andrade, Elsa Barrientos Jan 2020

Multicriteria Approach To Calculate The Index Of Promotion Of Legal Culture Using Neutrosophic Numbers, Rosa Leonor Maldonado Manzano, Marcia Esther Spain Herrería, Julián Santillán Andrade, Elsa Barrientos

Neutrosophic Sets and Systems

No abstract provided.

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Neutrosophic Evaluation Of Depression Severity, Carlos Castañeda Guillot, Doris Raquel Medina Medina, María Alejandra Benítez Ávalos Jan 2020

Neutrosophic Evaluation Of Depression Severity, Carlos Castañeda Guillot, Doris Raquel Medina Medina, María Alejandra Benítez Ávalos

Neutrosophic Sets and Systems

No abstract provided.

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Neutrosophic Analysis Of The Facultative Vote In The Electoral Process Of Ecuador, Alexandra Dolores Molina Manzano, Jesahel Yanette Vildoso Villegas, Laura Marlene Ochoa Escobar, Leonardo Toapanta Jiménez Jan 2020

Neutrosophic Analysis Of The Facultative Vote In The Electoral Process Of Ecuador, Alexandra Dolores Molina Manzano, Jesahel Yanette Vildoso Villegas, Laura Marlene Ochoa Escobar, Leonardo Toapanta Jiménez

Neutrosophic Sets and Systems

No abstract provided.

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Full Issue, Florentin Smarandache, Mohamed Abdel-Basset, Maikel Leyva Vazquez, Said Broumi Jan 2020

Full Issue, Florentin Smarandache, Mohamed Abdel-Basset, Maikel Leyva Vazquez, Said Broumi

Neutrosophic Sets and Systems

No abstract provided.

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Introduction To Neutroalgebraic Structures And Antialgebraic Structures (Revisited), Florentin Smarandache Jan 2020

Introduction To Neutroalgebraic Structures And Antialgebraic Structures (Revisited), Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a set may be only partially-defined (or partially true) and partially-undefined (or partially false), that we call NeutroDefined, or totally undefined (totally false) that we call AntiDefined. Again, in all classical algebraic structures, the Axioms (Associativity, Commutativity, etc.) defined on a set are totally true, but it is again a restrictive case, because similarly there are numerous situations …

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Neutroalgebra Is A Generalization Of Partial Algebra, Florentin Smarandache Jan 2020

Neutroalgebra Is A Generalization Of Partial Algebra, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper we recall, improve, and extend several definitions, properties and applications of our previous 2019 research referred to NeutroAlgebras and AntiAlgebras (also called NeutroAlgebraic Structures and respectively AntiAlgebraic Structures). Let be an item (concept, attribute, idea, proposition, theory, etc.). Through the process of neutrosphication, we split the nonempty space we work on into three regions {two opposite ones corresponding to and , and one corresponding to neutral (indeterminate) (also denoted ) between the opposites}, which may or may not be disjoint – depending on the application, but they are exhaustive (their union equals the whole space). A NeutroAlgebra …

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Special Issue On Multi-Criteria Decision Making (Mcdm) And Neutrosophic Tools, Florentin Smarandache, Mohamed Abdel-Basset Jan 2020

Special Issue On Multi-Criteria Decision Making (Mcdm) And Neutrosophic Tools, Florentin Smarandache, Mohamed Abdel-Basset

Branch Mathematics and Statistics Faculty and Staff Publications

In the rising trends of information technology, the concepts of uncertainty have started gaining greater importance with time in solving operational research problems in supply chain model, project management, transportation problem, or inventory control problems. Moreover, day-by-day competition is becoming tougher in imprecise environments. For instance, customer demand is often being affected by several varying factors like production price, income level, and the like. In these cases, the demand either remains unfulfilled or is difficult to obtain with certainty in the real-world market. Fuzzy sets are not always able to directly depict such uncertainties because they exhibit numeric only membership …

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Extension Of Hypergraph To N-Superhypergraph And To Plithogenic N-Superhypergraph, And Extension Of Hyperalgebra To N-Ary (Classical-/Neutro-/Anti-)Hyperalgebra, Florentin Smarandache Jan 2020

Extension Of Hypergraph To N-Superhypergraph And To Plithogenic N-Superhypergraph, And Extension Of Hyperalgebra To N-Ary (Classical-/Neutro-/Anti-)Hyperalgebra, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

We recall and improve our 2019 concepts of n-Power Set of a Set, n-SuperHyperGraph, Plithogenic n-SuperHyperGraph, and n-ary HyperAlgebra, n-ary NeutroHyperAlgebra, n-ary AntiHyperAlgebra respectively, and we present several properties and examples connected with the real world.

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Neutro-Bck-Algebra, Florentin Smarandache, Mohammad Hamidi Jan 2020

Neutro-Bck-Algebra, Florentin Smarandache, Mohammad Hamidi

Branch Mathematics and Statistics Faculty and Staff Publications

This paper introduces the novel concept of Neutro-BCK-algebra. In Neutro-BCK-algebra, the outcome of any given two elements under an underlying operation (neutro-sophication procedure) has three cases, such as: appurtenance, non-appurtenance, or indeterminate. While for an axiom: equal, non-equal, or indeterminate. This study investigates the Neutro-BCK-algebra and shows that Neutro-BCK-algebra are different from BCK-algebra. The notation of Neutro-BCK-algebra generates a new concept of NeutroPoset and Neutro-Hass-diagram for NeutroPosets. Finally, we consider an instance of applications of the Neutro-BCK-algebra.

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A Direct Data-Cluster Analysis Method Based On Neutrosophic Set Implication, Florentin Smarandache, Sudan Jha, Gyanendra Prasad Joshi, Lewis Nkenyereya, Dae Wan Kim Jan 2020

A Direct Data-Cluster Analysis Method Based On Neutrosophic Set Implication, Florentin Smarandache, Sudan Jha, Gyanendra Prasad Joshi, Lewis Nkenyereya, Dae Wan Kim

Branch Mathematics and Statistics Faculty and Staff Publications

Raw data are classified using clustering techniques in a reasonable manner to create disjoint clusters. A lot of clustering algorithms based on specific parameters have been proposed to access a high volume of datasets. This paper focuses on cluster analysis based on neutrosophic set implication, i.e., a k-means algorithm with a threshold-based clustering technique. This algorithm addresses the shortcomings of the k-means clustering algorithm by overcoming the limitations of the threshold-based clustering algorithm. To evaluate the validity of the proposed method, several validity measures and validity indices are applied to the Iris dataset (from the University of California, Irvine, Machine …

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Interval Valued Neutrosophic Shortest Path Problem By A* Algorithm, Florentin Smarandache, S. Khrisna Prabha, Said Broumi Jan 2020

Interval Valued Neutrosophic Shortest Path Problem By A* Algorithm, Florentin Smarandache, S. Khrisna Prabha, Said Broumi

Branch Mathematics and Statistics Faculty and Staff Publications

Many researchers have been proposing various algorithms to unravel different types of fuzzy shortest path problems. There are many algorithms like Dijkstra’s, Bellman-Ford,Floyd-Warshall and kruskal’s etc are existing for solving the shortest path problems. In this work a shortest path problem with interval valued neutrosophic numbers is investigated using the proposed algorithm. A* algorithm is extensively applied in pathfinding and graph traversal.Unlike the other algorithms mentioned above, A* algorithm entails heuristic function to uncover the cost of path that traverses through the particular state. In the structured work A* algorithm is applied to unravel the length of the shortest path …

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Remark On Artificial Intelligence, Humanoid And Terminator Scenario: A Neutrosophic Way To Futurology, Victor Christianto, Florentin Smarandache Jan 2020

Remark On Artificial Intelligence, Humanoid And Terminator Scenario: A Neutrosophic Way To Futurology, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This article is an update of our previous article in this SGJ journal, titled: On Gödel's Incompleteness Theorem, Artificial Intelligence & Human Mind [7]. We provide some commentary on the latest developments around AI, humanoid robotics, and future scenario. Basically, we argue that a more thoughtful approach to the future is "technorealism."

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N-Refined Neutrosophic Rings, Florentin Smarandache, Mohammad Abobala Jan 2020

N-Refined Neutrosophic Rings, Florentin Smarandache, Mohammad Abobala

Branch Mathematics and Statistics Faculty and Staff Publications

The aim of this paper is to introduce the concept of n-refined neutrosophic ring as a generalization of refined neutrosophic ring. Also, we present concept of n-refined polynomial ring. We study some basic concepts related to these rings such as AH-subrings, AH-ideals, AH-factors, and AH-homomorphisms.

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A Review On Superluminal Physics And Superluminal Communication In Light Of The Neutrosophic Logic Perspective, Victor Christianto, Florentin Smarandache Jan 2020

A Review On Superluminal Physics And Superluminal Communication In Light Of The Neutrosophic Logic Perspective, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In a recent paper, we describe a model of quantum communication based on combining consciousness experiment and entanglement, which can serve as impetus to stop 5G-network-caused diseases. Therefore, in this paper we consider superluminal physics and superluminal communication as a bridge or intermediate way between subluminal physics and action-at-a-distance (AAAD) physics, especially from neutrosophic logic perspective. Although several ways have been proposed to bring such a superluminal communication into reality, such as Telluric wave or Telepathy analog of Horejev and Baburin, here we also review two possibilities: quaternion communication and also quantum communication based on quantum noise. Further research is …

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The Neutrosophic Triplet Of ����-Algebras, Florentin Smarandache, Akbar Rezaei Jan 2020

The Neutrosophic Triplet Of ����-Algebras, Florentin Smarandache, Akbar Rezaei

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, the concepts of a Neutro-����-algebra and Anti-����-algebra are introduced, and some related properties are investigated. We show that the class of Neutro-����-algebra is an alternative of the class of ����-algebras.

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A New Trend To Extensions Of Ci-Algebras, Florentin Smarandache, Akbar Rezaei, Hee Sik Kim Jan 2020

A New Trend To Extensions Of Ci-Algebras, Florentin Smarandache, Akbar Rezaei, Hee Sik Kim

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, as an extension of CI-algebras, we discuss the new notions of Neutro-CI-algebras and Anti-CI-algebras. First, some examples are given to show that these definitions are different. We prove that any proper CI-algebra is a Neutro-BE-algebra or Anti-BE-algebra. Also, we show that any NeutroSelf-distributive and AntiCommutative CI-algebras are not BE-algebras.

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On Neutro-Be-Algebras And Anti-Be-Algebras, Florentin Smarandache, Akbar Rezaei Jan 2020

On Neutro-Be-Algebras And Anti-Be-Algebras, Florentin Smarandache, Akbar Rezaei

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, the concepts of Neutro-BE-algebra and Anti-BE-algebra are introduced, and some related properties and four theorems are investigated. We show that the classes of Neutro-BE-algebra and Anti-BE-algebras are alternatives of the class of BE-algebras.

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Quadruple Neutrosophic Theory And Applications Volume I, Florentin Smarandache, Memet Şahin, Vakkas Uluçay, Abdullah Kargin Jan 2020

Quadruple Neutrosophic Theory And Applications Volume I, Florentin Smarandache, Memet Şahin, Vakkas Uluçay, Abdullah Kargin

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific and engineering applications. Since then, the single valued neutrosophic set theory has been extensively studied in books and monographs introducing neutrosophic sets and its applications, …

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The Picture Fuzzy Distance Measure In Controlling Network Power Consumption, Florentin Smarandache, Ngan Thi Roan, Salvador Coll Arnau, Marina Alonso Diaz, Juan Miguel Martinez Rubio, Pedro Lopez, Fran Andujar, Son Hoang Lee, Manh Van Vu Jan 2020

The Picture Fuzzy Distance Measure In Controlling Network Power Consumption, Florentin Smarandache, Ngan Thi Roan, Salvador Coll Arnau, Marina Alonso Diaz, Juan Miguel Martinez Rubio, Pedro Lopez, Fran Andujar, Son Hoang Lee, Manh Van Vu

Branch Mathematics and Statistics Faculty and Staff Publications

In order to solve the complex decision making problems, there are many approaches and systems based on fuzzy theory were proposed.

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New Challenges In Neutrosophic Theory And Applications, Florentin Smarandache, Stefan Vladutescu, Miihaela Colhon, Wadei Al-Omeri, Saeid Jafari, Muhammad Zahir Khan, Muhammad Farid Khan, Muhammad Aslam, Abdur Razzaque Mughal Jan 2020

New Challenges In Neutrosophic Theory And Applications, Florentin Smarandache, Stefan Vladutescu, Miihaela Colhon, Wadei Al-Omeri, Saeid Jafari, Muhammad Zahir Khan, Muhammad Farid Khan, Muhammad Aslam, Abdur Razzaque Mughal

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic theory has representatives on all continents and, therefore, it can be said to be a universal theory. On the other hand, according to the three volumes of “The Encyclopedia of Neutrosophic Researchers” (2016, 2018, 2019), plus numerous others not yet included in Encyclopedia book series, about 1200 researchers from 73 countries have applied both the neutrosophic theory and method. Neutrosophic theory was founded by Professor Florentin Smarandache in 1998; it constitutes further generalization of fuzzy and intuitionistic fuzzy theories. The key distinction between the neutrosophic set/logic and other types of sets/logics lies in the introduction of the degree of …

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(Φ, Ψ)-Weak Contractions In Neutrosophic Cone Metric Spaces Via Fixed Point Theorems, Florentin Smarandache, Wadei F. Al-Omeri Jan 2020

(Φ, Ψ)-Weak Contractions In Neutrosophic Cone Metric Spaces Via Fixed Point Theorems, Florentin Smarandache, Wadei F. Al-Omeri

Branch Mathematics and Statistics Faculty and Staff Publications

In this manuscript, we obtain common fixed point theorems in the neutrosophic cone metric space. Also, notion of (Φ, Ψ)-weak contraction is defined in the neutrosophic cone metric space by using the idea of altering distance function. Finally, we review many examples of cone metric spaces to verify some properties.

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Three Possible Applications Of Neutrosophic Logic In Fundamental And Applied Sciences, Victor Christianto, Robert Neil Boyd, Florentin Smarandache Jan 2020

Three Possible Applications Of Neutrosophic Logic In Fundamental And Applied Sciences, Victor Christianto, Robert Neil Boyd, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In Neutrosophic Logic, a basic assertion is that there are variations of about everything that we can measure; the variations surround three parameters called T,I,F (truth, indeterminacy, falsehood) which can take a range of values. This paper shortly reviews the links among aether and matter creation from the perspective of Neutrosophic Logic. Once we accept the existence of aether as physical medium, then we can start to ask on what causes matter ejection, as observed in various findings related to quasars etc. One particular cosmology model known as VMH (variable mass hypothesis) has been suggested by notable astrophysicists like Halton …

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