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In this volume, we present a set of research that was published in cooperation with a number of researchers and those interested in keeping pace with the great scientific development that our contemporary world is witnessing, and one of its products was neutrosophic science, which was founded by the American scientist and mathematical philosopher Florentin Smarandache in 1995. Through it, we present a new vision for some research methods. Operations research to the concepts of this science.
Book Synopsis Research on the topics of neutrosophic operations research by : Florentin Smarandache
Download or read book Research on the topics of neutrosophic operations research written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-08-10 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we present a set of research that was published in cooperation with a number of researchers and those interested in keeping pace with the great scientific development that our contemporary world is witnessing, and one of its products was neutrosophic science, which was founded by the American scientist and mathematical philosopher Florentin Smarandache in 1995. Through it, we present a new vision for some research methods. Operations research to the concepts of this science.
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.
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.
Papers on neutrosophic and plithogenic sets, logics, probabilities and statistics, on NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra, etc…
Book Synopsis Neutrosophic Systems with Applications (NSWA), Vol. 6, 2023 by : Florentin Smarandache
Download or read book Neutrosophic Systems with Applications (NSWA), Vol. 6, 2023 written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-09-23 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic and plithogenic sets, logics, probabilities and statistics, on NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra, etc…
Theories and applications of neutrosophic and plithogenic set / logic / probability / statistics, NonStandard Neutrosophic Logic, HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, TreeSoft Set, NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, NeutroTopology and AntiTopology, SuperHyperAlgebra, Neutrosophic SuperHyperAlgebra, SuperHyperGraph, Neutrosophic SuperHyperGraph, SuperHyperTopology, Neutrosophic SuperHyperTopology, SuperHyperFunction, Refined Crisp Topology, Symbolic Plithogenic Algebraic Structures, Refined Neutrosophic Set, Paradoxism, Neutrosophy as new branch of philosophy, etc.
Book Synopsis Neutrosophic Systems with Applications (NSWA), Vol. 3, 2023 by : Florentin Smarandache
Download or read book Neutrosophic Systems with Applications (NSWA), Vol. 3, 2023 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theories and applications of neutrosophic and plithogenic set / logic / probability / statistics, NonStandard Neutrosophic Logic, HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, TreeSoft Set, NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, NeutroTopology and AntiTopology, SuperHyperAlgebra, Neutrosophic SuperHyperAlgebra, SuperHyperGraph, Neutrosophic SuperHyperGraph, SuperHyperTopology, Neutrosophic SuperHyperTopology, SuperHyperFunction, Refined Crisp Topology, Symbolic Plithogenic Algebraic Structures, Refined Neutrosophic Set, Paradoxism, Neutrosophy as new branch of philosophy, etc.
Recently, properties of single-valued Plithogenic set is introduced for dealing with several opposite, non-opposite and neutral side of a multi-valued attribute. In this case, a problem arises due to conflict among the experts and their opinions. It is an indeed problem while dealing with single-valued Plithogenic membership. The reason is to deal with conflict or contradictions membership and non-membership values required. To deal with this problem intuitionistic Plithogenic context and its graphical structure visualization is introduced in this paper. In addition{d(a1, a2) , cb } -cut is introduced for dealing with intuitionistic degree of appurtenance and contradiction for multi-decision process.
Book Synopsis Intuitionistic Plithogenic Graph by : Prem Kumar Singh
Download or read book Intuitionistic Plithogenic Graph written by Prem Kumar Singh and published by Infinite Study. This book was released on 2022-04-01 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, properties of single-valued Plithogenic set is introduced for dealing with several opposite, non-opposite and neutral side of a multi-valued attribute. In this case, a problem arises due to conflict among the experts and their opinions. It is an indeed problem while dealing with single-valued Plithogenic membership. The reason is to deal with conflict or contradictions membership and non-membership values required. To deal with this problem intuitionistic Plithogenic context and its graphical structure visualization is introduced in this paper. In addition{d(a1, a2) , cb } -cut is introduced for dealing with intuitionistic degree of appurtenance and contradiction for multi-decision process.
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 offer in this research two methods, Dynamic programming method. This method has been used in many practical matters and helped decision-makers in companies to achieve a maximum profit and less cost by formulating the reality of the state of the company and the data provided by decision-makers with a dynamic mathematical model that is solved using methods of solving dynamic models and we will provide in this research an example of this through the issue of choosing the optimal investment for the budget of a company so that it achieves a maximum profit, and the method of programming with integers: the method that provided these companies with solutions with integer values suitable for the nature of its work, through the use of the binary integer in the formulation of the appropriate mathematical model on the one hand, and on the other hand, the use of the binary integer variable helped to convert some nonlinear models that lead to some practical problems into linear models, and it should be noted here that in the previous two methods there is something indeterminable because we must make a decision in choosing or not choosing something, but the optimal solution that we will get remains A specific value because we are building the mathematical model for any realistic issue through the data provided by those responsible for the work and these data are calculated quantities and therefore they are uncertain values because their validity depends on the circumstances surrounding the work environment, they may be exposed to increase or decrease, and therefore the optimal solution on which the company will base its decision is suitable for specific values and any change in them can cause the company an uncalculated loss, so in this research we will use the concepts of neutrosophic science, the branch of science founded by the American scientist Florentin Smarandache in 1995 based on his belief that there is no absolute truth, a science that is interested in the study of ideas and concepts that are neither true nor false, but just in between, and we will take the data (calculated quantities) neutrosophic values that are specified or unspecified values are any set close to the calculated quantities, then the resulting mathematical model is a neutrosophic model and the optimal solution has neutrosophic values and thanks to the indefinite uncertainty that these values have, companies from the development of appropriate plans for all circumstances and thus achieve the greatest profit and the lowest cost, and we will clarify the above through two issues, the issue of optimal designation of a warehouse site, which we will formulate the mathematical model of using the neutrosophic integer programming method - and the issue of capital budget, which we will present in two different forms, we use in the first form the neutrosophic integer programming method and in the second the neutrosophic dynamic programming method.
Book Synopsis The Use of Neutrosophic Methods of Operation Research in the Management of Corporate Work by : Maissam Jdid
Download or read book The Use of Neutrosophic Methods of Operation Research in the Management of Corporate Work written by Maissam Jdid and published by Infinite Study. This book was released on 2023-01-01 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 offer in this research two methods, Dynamic programming method. This method has been used in many practical matters and helped decision-makers in companies to achieve a maximum profit and less cost by formulating the reality of the state of the company and the data provided by decision-makers with a dynamic mathematical model that is solved using methods of solving dynamic models and we will provide in this research an example of this through the issue of choosing the optimal investment for the budget of a company so that it achieves a maximum profit, and the method of programming with integers: the method that provided these companies with solutions with integer values suitable for the nature of its work, through the use of the binary integer in the formulation of the appropriate mathematical model on the one hand, and on the other hand, the use of the binary integer variable helped to convert some nonlinear models that lead to some practical problems into linear models, and it should be noted here that in the previous two methods there is something indeterminable because we must make a decision in choosing or not choosing something, but the optimal solution that we will get remains A specific value because we are building the mathematical model for any realistic issue through the data provided by those responsible for the work and these data are calculated quantities and therefore they are uncertain values because their validity depends on the circumstances surrounding the work environment, they may be exposed to increase or decrease, and therefore the optimal solution on which the company will base its decision is suitable for specific values and any change in them can cause the company an uncalculated loss, so in this research we will use the concepts of neutrosophic science, the branch of science founded by the American scientist Florentin Smarandache in 1995 based on his belief that there is no absolute truth, a science that is interested in the study of ideas and concepts that are neither true nor false, but just in between, and we will take the data (calculated quantities) neutrosophic values that are specified or unspecified values are any set close to the calculated quantities, then the resulting mathematical model is a neutrosophic model and the optimal solution has neutrosophic values and thanks to the indefinite uncertainty that these values have, companies from the development of appropriate plans for all circumstances and thus achieve the greatest profit and the lowest cost, and we will clarify the above through two issues, the issue of optimal designation of a warehouse site, which we will formulate the mathematical model of using the neutrosophic integer programming method - and the issue of capital budget, which we will present in two different forms, we use in the first form the neutrosophic integer programming method and in the second the neutrosophic dynamic programming method.
Papers on neutrosophic and plithogenic sets, logics, probabilities and statistics.
Book Synopsis Neutrosophic Systems with Applications (NSWA), Vol. 1, 2023 by : Florentin Smarandache
Download or read book Neutrosophic Systems with Applications (NSWA), Vol. 1, 2023 written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-09-23 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic and plithogenic sets, logics, probabilities and statistics.
In computational intelligence, machine learning, image processing, neural networks, medical diagnostics, and decision analysis, the ideas of correlation coefficients and entropy have practical applications. By applying hypersoft set (HSS) in neutrosophic environment provides a good model for describing and addressing uncertainties. In statistics, the correlation coefficient between two variables is crucial.
Book Synopsis Entropy and Correlation Coefficients of Neutrosophic and Interval-Valued Neutrosophic Hypersoft Set with application of Multi-Attributive Problems by : Muhammad Naveed Jafar
Download or read book Entropy and Correlation Coefficients of Neutrosophic and Interval-Valued Neutrosophic Hypersoft Set with application of Multi-Attributive Problems written by Muhammad Naveed Jafar and published by Infinite Study. This book was released on 2022-04-01 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In computational intelligence, machine learning, image processing, neural networks, medical diagnostics, and decision analysis, the ideas of correlation coefficients and entropy have practical applications. By applying hypersoft set (HSS) in neutrosophic environment provides a good model for describing and addressing uncertainties. In statistics, the correlation coefficient between two variables is crucial.