An Introduction to The Symbolic 3-Plithogenic Vector Spaces

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4./5 ( download)

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Book Synopsis An Introduction to The Symbolic 3-Plithogenic Vector Spaces by : Rozina Ali

Download or read book An Introduction to The Symbolic 3-Plithogenic Vector Spaces written by Rozina Ali and published by Infinite Study. This book was released on 2023-01-01 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is to define and study for the first time the concept of symbolic 3-plithogenic vector spaces based on symbolic 3-plithogenic sets and classical vector spaces.Also, many related substructures will be defined and handled such as AH-functions, AH-spaces, and symbolic 3-plithogenic basis.

Introduction to Symbolic 2-Plithogenic Probability Theory

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Introduction to Symbolic 2-Plithogenic Probability Theory by : Mohamed Bisher Zeina

Download or read book Introduction to Symbolic 2-Plithogenic Probability Theory written by Mohamed Bisher Zeina and published by Infinite Study. This book was released on 2023-01-01 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we present for the first time the concept of symbolic plithogenic random variables and study its properties including expected value and variance. We build the plithogenic formal form of two important distributions that are exponential and uniform distributions. We find its probability density function and cumulative distribution function in its plithogenic form. We also derived its expected values and variance and the formulas of its random numbers generating. We finally present the fundamental form of plithogenic probability density and cumulative distribution functions. All the theorems were proved depending on algebraic approach using isomorphisms. This paper can be considered the base of symbolic plithogenic probability theory.

On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4-Plithogenic Real Square Matrices

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4-Plithogenic Real Square Matrices by : Hamiyet Merkepçi

Download or read book On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4-Plithogenic Real Square Matrices written by Hamiyet Merkepçi and published by Infinite Study. This book was released on 2023-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic n-plithogenic sets are considered to be modern concepts that carry within their framework both an algebraic and logical structure. The concept of symbolic n-plithogenic algebraic rings is considered to be a novel generalization of classical algebraic rings with many symmetric properties. These structures can be written as linear combinations of many symmetric elements taken from other classical algebraic structures, where the square symbolic k-plithogenic real matrices are square matrices with real symbolic k-plithogenic entries. In this research, we will find easy-to-use algorithms for calculating the determinant of a symbolic 3-plithogenic/4-plithogenic matrix, and for finding its inverse based on its classical components, and even for diagonalizing matrices of these types. On the other hand, we will present a new algorithm for calculating the eigenvalues and eigenvectors associated with matrices of these types. Also, the exponent of symbolic 3-plithogenic and 4-plithogenic real matrices will be presented, with many examples to clarify the novelty of this work.

On Clean and Nil-clean Symbolic 2-Plithogenic Rings

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Clean and Nil-clean Symbolic 2-Plithogenic Rings by : P. Prabakaran

Download or read book On Clean and Nil-clean Symbolic 2-Plithogenic Rings written by P. Prabakaran and published by Infinite Study. This book was released on 2023-01-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a nilpotent element of the ring. In this paper, we generalize these arguments to symbolic 2-plithogenic structure. We introduce the structure of clean and nil-clean symbolic 2-plithogenic rings and some of its elementary properties are presented. Also, we have found the equivalence between classical clean(nil-clean) ring R and the corresponding symbolic 2-plithogenic ring 2-SPR.

Plithogeny, Plithogenic Set, Logic, Probability, and Statistics

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 143 pages
Book Rating : 4./5 ( download)

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Book Synopsis Plithogeny, Plithogenic Set, Logic, Probability, and Statistics by : Florentin Smarandache

Download or read book Plithogeny, Plithogenic Set, Logic, Probability, and Statistics written by Florentin Smarandache and published by Infinite Study. This book was released on 2017-10-01 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce for the first time the concept of plithogeny in philosophy and, as a derivative, the concepts of plithogenic set / logic / probability / statistics in mathematics and engineering – and the degrees of contradiction (dissimilarity) between the attributes’ values that contribute to a more accurate construction of plithogenic aggregation operators and to the plithogenic relationship of inclusion (partial ordering).

Introduction to Neutrosophic Statistics

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Publisher : Infinite Study
ISBN 13 : 1599732742
Total Pages : 123 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Introduction to Neutrosophic Statistics by : Florentin Smarandache

Download or read book Introduction to Neutrosophic Statistics written by Florentin Smarandache and published by Infinite Study. This book was released on 2014 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by : Florentin Smarandache

Download or read book Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set written by Florentin Smarandache and published by Infinite Study. This book was released on 2010-08-23 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Neutrosophy

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Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Neutrosophy by : Florentin Smarandache

Download or read book Neutrosophy written by Florentin Smarandache and published by . This book was released on 1998 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Plithogenic Cognitive Maps in Decision Making

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Plithogenic Cognitive Maps in Decision Making by : Nivetha Martin

Download or read book Plithogenic Cognitive Maps in Decision Making written by Nivetha Martin and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plithogenic sets introduced by Smarandache (2018) have disclosed new research vistas and this paper introduces the novel concept of plithogenic cognitive maps (PCM) and its applications in decision making. The new approach of defining instantaneous state neutrosophic vector with the confinement of indeterminacy to (0,1] is proposed to quantify the degree of indeterminacy.

Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets - Revisited

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets - Revisited by : Florentin Smarandache

Download or read book Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets - Revisited written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the plithogenic set (as generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets), which is a set whose elements are characterized by many attributes’ values.

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps

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Publisher : Infinite Study
ISBN 13 : 1931233764
Total Pages : 213 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps by : W. B. Vasantha Kandasamy

Download or read book Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003-01-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of Neutrosophy (the philosophy of neutralities, introduced by FLORENTIN SMARANDACHE), and its connected logic Neutrosophic Logic, which is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs). Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in intimate technology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network models; traffic and transportation problems; medical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; child labor problem; industrial relations: between employer and employee, maximizing production and profit; decision support in intelligent intrusion detection system; hyper-knowledge representation in strategy formation; female infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AIDS epidemic.

Comparison of neutrosophic approach to various deep learning models for sentiment analysis

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Comparison of neutrosophic approach to various deep learning models for sentiment analysis by : Mayukh Sharma

Download or read book Comparison of neutrosophic approach to various deep learning models for sentiment analysis written by Mayukh Sharma and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deep learning has been widely used in numerous real-world engineering applications and for classification problems. Real-world data is present with neutrality and indeterminacy, which neutrosophic theory captures clearly. Though both are currently developing research areas, there has been little study on their interlinking. We have proposed a novel framework to implement neutrosophy in deep learning models. Instead of just predicting a single class as output, we have quantified the sentiments using three membership functions to understand them better. Our proposed model consists of two blocks, feature extraction, and feature classification.

Neutrosophic Quadruple Algebraic Codes over Z2 and their Properties

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Quadruple Algebraic Codes over Z2 and their Properties by : Vasantha Kandasamy

Download or read book Neutrosophic Quadruple Algebraic Codes over Z2 and their Properties written by Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we for the rst time develop, de ne and describe a new class of algebraic codes using Neutrosophic Quadruples which uses the notion of known value, and three unknown triplets (T; I; F) where T is the truth value, I is the indeterminate and F is the false value.

Theory and Practice of Uncertain Programming

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Publisher : Springer
ISBN 13 : 3540894845
Total Pages : 205 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Theory and Practice of Uncertain Programming by : Baoding Liu

Download or read book Theory and Practice of Uncertain Programming written by Baoding Liu and published by Springer. This book was released on 2008-12-28 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-life decisions are usually made in the state of uncertainty such as randomness and fuzziness. How do we model optimization problems in uncertain environments? How do we solve these models? In order to answer these questions, this book provides a self-contained, comprehensive and up-to-date presentation of uncertain programming theory, including numerous modeling ideas, hybrid intelligent algorithms, and applications in system reliability design, project scheduling problem, vehicle routing problem, facility location problem, and machine scheduling problem. Researchers, practitioners and students in operations research, management science, information science, system science, and engineering will find this work a stimulating and useful reference.

Neutrosophic Sets and Systems, Vol. 38, 2020

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 662 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 38, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 38, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Optimization Theory Based on Neutrosophic and Plithogenic Sets

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Publisher : Academic Press
ISBN 13 : 0128199083
Total Pages : 448 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Optimization Theory Based on Neutrosophic and Plithogenic Sets by : Florentin Smarandache

Download or read book Optimization Theory Based on Neutrosophic and Plithogenic Sets written by Florentin Smarandache and published by Academic Press. This book was released on 2020-01-14 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic. All essential topics about neutrosophic optimization and Plithogenic sets make this volume the only single source of comprehensive information New and innovative theories help researchers solve problems under diverse optimization environments Varied applications address practitioner fields such as computational intelligence, image processing, medical diagnosis, fault diagnosis, and optimization design

Neutrosophic Graphs: A New Dimension to Graph Theory

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Publisher : Infinite Study
ISBN 13 : 1599733625
Total Pages : pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Graphs: A New Dimension to Graph Theory by : Vasantha Kandasamy

Download or read book Neutrosophic Graphs: A New Dimension to Graph Theory written by Vasantha Kandasamy and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.