Research On The Topics Of Neutrosophic Operations Research

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Research on the topics of neutrosophic operations research

Author : Florentin Smarandache,Maissam Ahmad Jdid
Publisher : Infinite Study
Page : 366 pages
File Size : 53,8 Mb
Release : 2023-08-10
Category : Technology & Engineering
ISBN : 8210379456XXX

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Research on the topics of neutrosophic operations research by Florentin Smarandache,Maissam Ahmad Jdid Pdf

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.

Neutrosophic Sets in Decision Analysis and Operations Research

Author : Abdel-Basset, Mohamed,Smarandache, Florentin
Publisher : IGI Global
Page : 470 pages
File Size : 45,8 Mb
Release : 2019-12-27
Category : Computers
ISBN : 9781799825579

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Neutrosophic Sets in Decision Analysis and Operations Research by Abdel-Basset, Mohamed,Smarandache, Florentin Pdf

In information technology, the concepts of cost, time, delivery, space, quality, durability, and price have gained greater importance in solving managerial decision-making problems in supply chain models, transportation problems, and inventory control problems. Moreover, competition is becoming tougher in imprecise environments. Neutrosophic sets and logic are gaining significant attention in solving real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. Neutrosophic Sets in Decision Analysis and Operations Research is a critical, scholarly publication that examines various aspects of organizational research through mathematical equations and algorithms and presents neutrosophic theories and their applications in various optimization fields. Featuring a wide range of topics such as information retrieval, decision making, and matrices, this book is ideal for engineers, technicians, designers, mathematicians, practitioners of mathematics in economy and technology, scientists, academicians, professionals, managers, researchers, and students.

Neutrosophic Operational Research

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Springer Nature
Page : 628 pages
File Size : 51,7 Mb
Release : 2021-09-09
Category : Business & Economics
ISBN : 9783030571979

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Neutrosophic Operational Research by Florentin Smarandache,Mohamed Abdel-Basset Pdf

This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic. The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning. It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.

Neutrosophic Operational Research, Vol. I

Author : Florentin Smarandache ,Mohamed Abdel-Basset,Yongquan Zhou
Publisher : Infinite Study
Page : 128 pages
File Size : 50,5 Mb
Release : 2024-06-09
Category : Electronic
ISBN : 9781599735207

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Neutrosophic Operational Research, Vol. I by Florentin Smarandache ,Mohamed Abdel-Basset,Yongquan Zhou Pdf

This book treats all kind of data in neutrosophic environment, with real-life applications, approaching topics as linear programming problem, linear fractional programming, integer programming, triangular neutrosophic numbers, single valued triangular neutrosophic number, neutrosophic optimization, goal programming problem, Taylor series, multi-objective programming problem, neutrosophic geometric programming, neutrosophic topology, neutrosophic open set, neutrosophic semi-open set, neutrosophic continuous function, cylindrical skin plate design, neutrosophic MULTIMOORA, alternative solutions, decision matrix, ratio system, reference point method, full multiplicative form, ordinal dominance, standard error, market research, and so on. The selected papers deal with the alleviation of world changes, including changing demographics, accelerating globalization, rising environmental concerns, evolving societal relationships, growing ethical and governance concern, expanding the impact of technology; some of these changes have impacted negatively the economic growth of private firms, governments, communities, and the whole society.

NEUTROSOPHIC OPERATIONAL RESEARCH, Volume III

Author : Florentin Smarandache,Mohamed Abdel-Basset,Victor Chang
Publisher : Infinite Study
Page : 108 pages
File Size : 54,7 Mb
Release : 2024-06-09
Category : Electronic
ISBN : 8210379456XXX

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NEUTROSOPHIC OPERATIONAL RESEARCH, Volume III by Florentin Smarandache,Mohamed Abdel-Basset,Victor Chang Pdf

This book treats all kind of data in neutrosophic environment, with reallife applications, approaching topics as logistic center, multi-criteria group decision making, hybrid score-accuracy function, single valued neutrosophic set, single valued neutrosophic number, neutrosophic MOORA, supplier selection, neutrosophic crisp sets, analytic network process, neutrosophic set, multi-criteria decision analysis (MCDM), complex neutrosophic set, interval complex neutrosophic set, interval complex neutrosophic graph of type 1, adjacency matrix, and so on.

Generating Neutrosophic Random Variables Following the Poisson Distribution Using the Composition Method (The Mixed Method of Inverse Transformation Method and Rejection Method)

Author : Maissam Jdid,Florentin Smarandache
Publisher : Infinite Study
Page : 9 pages
File Size : 54,5 Mb
Release : 2024-01-01
Category : Business & Economics
ISBN : 8210379456XXX

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Generating Neutrosophic Random Variables Following the Poisson Distribution Using the Composition Method (The Mixed Method of Inverse Transformation Method and Rejection Method) by Maissam Jdid,Florentin Smarandache Pdf

Simulation is a numerical technique used to perform tests on a numerical computer, and involves logical and mathematical relationships interacting with each other to describe the behavior and structure of a complex system in the real world over a period of time. Analysis using simulation is a "natural" and logical extension of the mathematical analytical models inherent in operations research, because most operations research methods depend on building mathematical models that closely approximate the real-world environment and we obtain the optimal solution for them using algorithms appropriate to the type of these models. The importance of the simulation process comes in all branches of science, there are many systems that cannot be studied directly, due to the great difficulty that we may encounter when studying, and the high cost, in addition to the fact that some systems cannot be studied directly. The simulation process depends on generating a series of numbers. Randomness subject to a uniform probability distribution over the domain [0,1] , then converting these numbers into random variables subject to the law of probability distribution by which the system to be simulated works, using known transformation methods.

Neutrosophic Operational Research, 2nd volume

Author : Florentin Smarandache,Mohamed Abdel-Basset,Victor Chang
Publisher : Infinite Study
Page : 207 pages
File Size : 42,6 Mb
Release : 2024-06-09
Category : Electronic
ISBN : 9781599735375

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Neutrosophic Operational Research, 2nd volume by Florentin Smarandache,Mohamed Abdel-Basset,Victor Chang Pdf

This book treats all kind of data in neutrosophic environment, with real-life applications, approaching topics as linear programming problem, linear fractional programming, integer programming, triangular neutrosophic numbers, single valued triangular neutrosophic number, neutrosophic optimization, goal programming problem, Taylor series, multi-objective programming problem, neutrosophic geometric programming, neutrosophic topology, neutrosophic open set, neutrosophic semi-open set, neutrosophic continuous function, cylindrical skin plate design, neutrosophic MULTIMOORA, alternative solutions, decision matrix, ratio system, reference point method, full multiplicative form, ordinal dominance, standard error, market research, and so on. The selected papers deal with the alleviation of world changes, including changing demographics, accelerating globalization, rising environmental concerns, evolving societal relationships, growing ethical and governance concern, expanding the impact of technology; some of these changes have impacted negatively the economic growth of private firms, governments, communities, and the whole society.

Neutrosophic Treatment of Duality Linear Models and the Binary Simplex Algorithm

Author : Maissam Jdid,Florentin Smarandache
Publisher : Infinite Study
Page : 15 pages
File Size : 49,9 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Treatment of Duality Linear Models and the Binary Simplex Algorithm by Maissam Jdid,Florentin Smarandache Pdf

One of the most important theories in linear programming is the dualistic theory and its basic idea is that for every linear model has dual linear model, so that solving the original linear model gives a solution to the dual model. Therefore, when we solving the linear programming model, we actually obtain solutions for two linear models. In this research, we present a study of the models. The neutrosophic dual and the binary simplex algorithm, which works to find the optimal solution for the original and dual models at the same time. The importance of this algorithm is evident in that it is relied upon in several operations research topics, such as integer programming algorithms, some nonlinear programming algorithms, and sensitivity analysis in linear programming.

Double Indeterminacy - Neutrosophic study of an Approximation Techniques Used to Find Random Variables

Author : Maissam Jdid,Florentin Smarandache
Publisher : Infinite Study
Page : 8 pages
File Size : 41,9 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Double Indeterminacy - Neutrosophic study of an Approximation Techniques Used to Find Random Variables by Maissam Jdid,Florentin Smarandache Pdf

The main interest in statistical analysis is to generate a series of random variables that follow the probability distribution in which the system under study operates. In almost all simulation tests, we need to generate random variables that follow a distribution, a distribution that adequately describes and represents the physical process involved in the experiment at That point. During the experiment, it may be necessary to simulate a real and perform the process of generating a random variable from a distribution many times depending on the complexity of the model to be simulated in order to obtain more accurate simulation results. In previous research, we presented a neutrosophical study of the process of generating random numbers and some techniques that can be used to convert these random numbers into variables. Randomness follows the probability distributions according to which the system to be simulated operates. These techniques were specific to probability distributions defined by a probability density function that is easy to deal with in terms of finding the cumulative distribution function and the inverse function of the cumulative distribution function or by calculating the values of this function at a certain value, and in reality, we encounter Many systems operate according to these distributions, which requires techniques other than the techniques presented. Therefore, in this research we will present a neutrosophical study of the approximation technique for generating random variables that follow probability distributions known as a complex probability density function.

Converting Some Zero-One Neutrosophic Nonlinear Programming Problems into Zero-One Neutrosophic Linear Programming Problems

Author : Maissam Jdid,Florentin Smarandache
Publisher : Infinite Study
Page : 7 pages
File Size : 42,7 Mb
Release : 2024-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Converting Some Zero-One Neutrosophic Nonlinear Programming Problems into Zero-One Neutrosophic Linear Programming Problems by Maissam Jdid,Florentin Smarandache Pdf

The science of operations research is the applied aspect of mathematics and one of the most important modern sciences that is concerned with practical issues and meets the desire and request of decision makers to obtain ideal decisions through the methods it presents that are appropriate for all issues, such as linear programming, nonlinear programming, dynamic programming, integer programming, etc. The basic essence of this science is to build mathematical models consisting of an objective function and constraints. In these models, the objective function is a maximization function or a minimization function for a specific quantity. This quantity depends on a number of decision variables that may be independent of each other or related to each other. Through a set of constraints, we obtain values for these variables by solving the mathematical model that we obtain. Given the great importance of operations research methods, we have in previous research presented a neutrosophic vision for some of these methods, such as neutrosophic linear models, neutrosophic nonlinear models, dynamic programming, neutrosophic programming with binary integers, etc. In this research, we present a neutrosophical study of some of the procedures used to convert some zero-one neutrosophic nonlinear programming problems into zero-one neutrosophic linear programming problems.

Fuzzy Optimization, Decision-making and Operations Research

Author : Chiranjibe Jana,Madhumangal Pal,Ghulam Muhiuddin,Peide Liu
Publisher : Springer Nature
Page : 753 pages
File Size : 53,8 Mb
Release : 2023-11-25
Category : Business & Economics
ISBN : 9783031356681

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Fuzzy Optimization, Decision-making and Operations Research by Chiranjibe Jana,Madhumangal Pal,Ghulam Muhiuddin,Peide Liu Pdf

After developing fuzzy set theory, many contributors focused their research on the extension of fuzzy sets and their computational methodologies, strengthening modern science and technology. In some real-life phenomena, the conventional methods and traditional fuzzy sets cannot be explained, whereas the extension of fuzzy sets and effective new computing methods can explain it adequately. This edited book presents a new view of fuzzy set-measurement methods entitled "Fuzzy Optimization, Decision Making and Operations Research: Theory and Applications", which deals with different perspectives and areas of research. All chapters are divided into three parts: fuzzy optimization, fuzzy decision-making, and fuzzy operation research. The goal of this book is to provide a relevant methodological framework covering the core fields of fuzzy decision-making method, fuzzy optimization method, fuzzy graphics method, fuzzy operations research, fuzzy optimization using graph theory, fuzzy support systems and its real and industrial applications. For many people, fuzzy words' industrial engineering and scientific meanings are still an advanced system for improving modern science and technology. Although fuzzy logic can be applied to many different areas, people do not know how different fuzzy approaches can be applied to various products currently on the market. It is written for professionals who wish to share their expertise, improve their findings, and provide relevant information in the fields of fuzzy methods and their application in decision-making, optimization theory, graph theory and operations research. This book is aimed at experts and practitioners in the fields of fuzzy optimization, fuzzy decision-making, and fuzzy operation research.

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

Author : Florentin Smarandache
Publisher : MDPI
Page : 714 pages
File Size : 49,7 Mb
Release : 2019-11-27
Category : Technology & Engineering
ISBN : 9783039219384

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New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications by Florentin Smarandache Pdf

This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; ฮฑ-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely โˆจ-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

Optimization Theory Based on Neutrosophic and Plithogenic Sets

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Academic Press
Page : 448 pages
File Size : 52,6 Mb
Release : 2020-01-14
Category : Mathematics
ISBN : 9780128199084

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Optimization Theory Based on Neutrosophic and Plithogenic Sets by Florentin Smarandache,Mohamed Abdel-Basset Pdf

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 Sets and Systems, Vol. 47, 2021

Author : Florentin Smarandache,Mohamed Abdel-Basser,Said Broumi
Publisher : Infinite Study
Page : 652 pages
File Size : 54,7 Mb
Release : 2021-12-30
Category : Antiques & Collectibles
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 47, 2021 by Florentin Smarandache,Mohamed Abdel-Basser,Said Broumi Pdf

Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.

Neutrosophic SuperHyper Bi-Topological Spaces: Extra Topics

Author : Huda E. Khalid,Gonca Durmaz Gungor,Muslim A. Noah
Publisher : Infinite Study
Page : 13 pages
File Size : 55,6 Mb
Release : 2024-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic SuperHyper Bi-Topological Spaces: Extra Topics by Huda E. Khalid,Gonca Durmaz Gungor,Muslim A. Noah Pdf

This manuscript holds the integral concepts presented by the previously published article called (Neutrosophic SuperHyper Bi-Topological Spaces). This essay contains new definitions related to the notion of SuperHyper Bi-Topological Spaces, such as SuperHyper Supra closure operator, the pairwise neutrosophic interior of the power set ๐‘ƒ๐‘›1(๐‘‹), three cascade numerical examples demonstrate the NSHBI-TS, pairwise neutrosophic ๐‘›๐‘กโ„Ž-power sets as well as extra definitions, theorems, corollaries, and propositions.