Neutrosophic Transport And Assignment Issues

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Neutrosophic Transport and Assignment Issues

Florentin Smarandache,Maissam Ahmad Jdid
Neutrosophic Transport and Assignment Issues Book PDF

Author : Florentin Smarandache,Maissam Ahmad Jdid
Publisher : Infinite Study
Page : 128 pages
File Size : 45,5 Mb
Release : 2023-10-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Transport and Assignment Issues by Florentin Smarandache,Maissam Ahmad Jdid Pdf

We all know that problems of transportation and allocation appear frequently in practical life. We need to transfer materials from production centers to consumption centers to secure the areas’ need for the transported material or allocate machines or people to do a specific job at the lowest cost, or in the shortest time. We know that the cost factors Time is one of the most important factors that decision-makers care about because it plays an “important” role in many of the practical and scientific issues that we face in our daily lives, and we need careful study to enable us to avoid losses. For this, the linear programming method was used, which is one of the research methods. Processes, where the problem data is converted into a linear mathematical model for which the optimal solution achieves the desired goal. Since these models are linear models, we can solve them using the direct simplex method and its modifications, but the specificity that these models enjoy has enabled scholars and researchers to find special methods that help us in obtaining the optimal solution. Whatever the method used, the goal is to determine the number of units transferred from any material from production centers to consumption centers, or to allocate a machine or person to do a job so that the cost or time is as short as possible. These issues were addressed according to classical logic, but the ideal solution was a specific value appropriate to the conditions in which the data was collected and does not take into account the changes that may occur in the work environment. In order to obtain results that are more accurate and enjoy a margin of freedom, we present in this book a study of transport issues and neutrosophic allocation issues and some methods for solving them. By neutrosophic issues we mean These are the problems in which the data are neutrosophic values, i.e. the required quantities and the available quantities.

Research on the topics of neutrosophic operations research

Florentin Smarandache,Maissam Ahmad Jdid
Research on the topics of neutrosophic operations research Book PDF

Author : Florentin Smarandache,Maissam Ahmad Jdid
Publisher : Infinite Study
Page : 366 pages
File Size : 51,5 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.

An Efficient Optimal Solution Method for Neutrosophic Transport Models: Analysis, Improvements, and Examples

Maissam Jdid,Florentin Smarandache
An Efficient Optimal Solution Method for Neutrosophic Transport Models Analysis Improvements and Examples Book PDF

Author : Maissam Jdid,Florentin Smarandache
Publisher : Infinite Study
Page : 12 pages
File Size : 41,8 Mb
Release : 2024-06-10
Category : Business & Economics
ISBN : 8210379456XXX

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An Efficient Optimal Solution Method for Neutrosophic Transport Models: Analysis, Improvements, and Examples by Maissam Jdid,Florentin Smarandache Pdf

Transport issues aim to determine the number of units that will be transferred from the production centers to consumption areas so that the cost of transportation is as low as possible, taking into account the conditions of supply and demand. Due to the great importance of these issues and to obtain more accurate results that take into account all circumstances, we conducted two research studies. In the first research, we presented a formulation of neutrosophic transport issues, and in the second research, we presented some ways to find a preliminary solution to these issues, but we do not know whether the preliminary solution is optimal or not, so we will present in this research a study whose purpose is to shed light on some important methods used to improve the optimal solution to transportation issues and then reformulating them using the concepts of neutrosophic science, a science that leaves nothing to chance or circumstances but rather provides solutions with neutrosophic values. Unspecified values take into account the best and worst conditions.

Neutrosophic Treatment of Duality Linear Models and the Binary Simplex Algorithm

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

Author : Maissam Jdid,Florentin Smarandache
Publisher : Infinite Study
Page : 15 pages
File Size : 49,6 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.

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

Maissam Jdid,Florentin Smarandache
Converting Some Zero One Neutrosophic Nonlinear Programming Problems into Zero One Neutrosophic Linear Programming Problems Book PDF

Author : Maissam Jdid,Florentin Smarandache
Publisher : Infinite Study
Page : 7 pages
File Size : 43,6 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.

Generating Neutrosophic Random Variables Based Gamma Distribution

Maissam Jdid,Florentin Smarandache,Khalifa Al Shaqsi
Generating Neutrosophic Random Variables Based Gamma Distribution Book PDF

Author : Maissam Jdid,Florentin Smarandache,Khalifa Al Shaqsi
Publisher : Infinite Study
Page : 9 pages
File Size : 47,5 Mb
Release : 2024-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Generating Neutrosophic Random Variables Based Gamma Distribution by Maissam Jdid,Florentin Smarandache,Khalifa Al Shaqsi Pdf

In practical life, we encounter many systems that cannot be studied directly, either due to their high cost or because some of these systems cannot be studied directly. Therefore, we resort to the simulation method, which depends on applying the study to systems similar to real ones and then projecting these results if they are suitable for the real system. The simulation process requires a good understanding of probability distributions and the methods used to transform random numbers that follow a regular distribution in the field [0,1] into random variables that follow them, so that we can achieve the greatest possible benefit from the simulation process and obtain more accurate and appropriate results for all conditions that arise. In previous research, we presented a neutrosophical vision of the process of generating random numbers that follow a regular distribution in the field [0, 1] and some techniques used to generate random variables, such as the inverse transformation technique that was used to generate random variables that follow a uniform distribution in the domain [a, b] and the exponential distribution, the rejection and acceptance technique, which was used to generate random variables that follow the beta distribution, and the mixed technique, which was used to generate random variables that follow the Poisson distribution. In this research, we present a neutrosophic study to generate neutrosophic random variables that follow the gamma distribution, a distribution that is frequently used in engineering applications.

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

Maissam Jdid,Florentin Smarandache
Generating Neutrosophic Random Variables Following the Poisson Distribution Using the Composition Method The Mixed Method of Inverse Transformation Method and Rejection Method Book PDF

Author : Maissam Jdid,Florentin Smarandache
Publisher : Infinite Study
Page : 9 pages
File Size : 46,5 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 Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Sets and Systems Book Series Vol 35 2020 An International Book Series in Information Science and Engineering Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 583 pages
File Size : 51,7 Mb
Release : 2024-06-10
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering by Florentin Smarandache,Mohamed Abdel-Basset Pdf

Contributors to current issue (listed in papers’ order): Ibrahim Yasser, Abeer Twakol, A. A. Abd El-Khalek, A. A. Salama, Ahmed Sharaf Al-Din, Issam Abu Al-Qasim, Rafif Alhabib, Magdy Badran, Remya P. B, Francina Shalini, Masoud Ghods, Zahra Rostami, A. Sahaya Sudha, Luiz Flavio Autran Monteiro Gomes, K.R. Vijayalakshmi, Prakasam Muralikrishna, Surya Manokaran, Nidhi Singh, Avishek Chakraborty, Soma Bose Biswas, Malini Majumdar, Rakhal Das, Binod Chandra Tripathy, Nidhi Singh, Avishek Chakraborty, Nilabhra Paul, Deepshikha Sarma, Akash Singh, Uttam Kumar Bera, Fatimah M. Mohammed, Sarah W. Raheem, Muhammad Riaz, Florentin Smarandache, Faruk Karaaslan, Masooma Raza Hashmi, Iqra Nawaz, Kousik Das, Sovan Samanta, Kajal De, Xavier Encarnacion, Nivetha Martin, I. Pradeepa, N. Ramila Gandhi, P. Pandiammal, Aiman Muzaffar, Md Tabrez Nafis, Shahab Saquib Sohail, Abhijit Saha, Jhulaneswar Baidya, Debjit Dutta, Irfan Deli, Said Broumi, Mohsin Khalid, Neha Andaleeb Khalid, Md. Hanif Page, Qays Hatem Imran, Shilpi Pal, S. Satham Hussain, Saeid Jafari, N. Durga, Hanieh Shambayati, Mohsen Shafiei Nikabadi, Seyed Mohammad, Ali Khatami Firouzabadi, Mohammad Rahmanimanesh, Mujahid Abbas, Ghulam Murtaza, K. Porselvi, B. Elavarasan, Y. B. Jun, Chinnadurai V, Sindhu M P, K.Radhika, K. Arun Prakash, Malayalan Lathamaheswari, Ruipu Tan, Deivanayagampillai Nagarajan, Talea Mohamed, Assia Bakali, Nivetha Martin, R. Dhavaseelan, Ali Hussein Mahmood Al-Obaidi, Suman Das, Surapati Pramanik, Madad Khan, Muhammad Zeeshan, Saima Anis, Abdul Sami Awan, M. Sarwar Sindhu, Tabasam Rashid, Agha Kashif, Rajesh Kumar Saini, Atul Sangal, Manisha.

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

Maissam Jdid,Florentin Smarandache
Double Indeterminacy Neutrosophic study of an Approximation Techniques Used to Find Random Variables Book PDF

Author : Maissam Jdid,Florentin Smarandache
Publisher : Infinite Study
Page : 8 pages
File Size : 51,7 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.

Neutrosophic Sets and Systems, Vol. 35, 2020

Florentin Smarandache, Mohamed Abdel-Basset
Neutrosophic Sets and Systems Vol 35 2020 Book PDF

Author : Florentin Smarandache, Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 596 pages
File Size : 42,7 Mb
Release : 2024-06-10
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 35, 2020 by Florentin Smarandache, Mohamed Abdel-Basset Pdf

“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. Some articles in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.

Advances in Algebra and Analysis

V. Madhu,A. Manimaran,D. Easwaramoorthy,D. Kalpanapriya,M. Mubashir Unnissa
Advances in Algebra and Analysis Book PDF

Author : V. Madhu,A. Manimaran,D. Easwaramoorthy,D. Kalpanapriya,M. Mubashir Unnissa
Publisher : Springer
Page : 485 pages
File Size : 41,9 Mb
Release : 2019-01-23
Category : Mathematics
ISBN : 9783030011208

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Advances in Algebra and Analysis by V. Madhu,A. Manimaran,D. Easwaramoorthy,D. Kalpanapriya,M. Mubashir Unnissa Pdf

This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume I. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry. Papers in Volume I are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of Volume II consider differential equations, fluid mechanics, and graph theory.

A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number

Hamiden Abd El-Wahed Khalifa,Pavan Kumar
A Novel Method for Neutrosophic Assignment Problem by using Interval Valued Trapezoidal Neutrosophic Number Book PDF

Author : Hamiden Abd El-Wahed Khalifa,Pavan Kumar
Publisher : Infinite Study
Page : 13 pages
File Size : 45,8 Mb
Release : 2020-10-01
Category : Mathematics
ISBN : 8210379456XXX

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A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number by Hamiden Abd El-Wahed Khalifa,Pavan Kumar Pdf

Assignment problem (AP) is well- studied and important area in optimization. In this research manuscript, an assignment problem in neutrosophic environment, called as neutrosophic assignment problem (NAP), is introduced. The problem is proposed by using the interval-valued trapezoidal neutrosophic numbers in the elements of cost matrix. As per the concept of score function, the interval-valued trapezoidal neutrosophic assignment problem (IVTNAP) is transformed to the corresponding an interval-valued AP. To optimize the objective function in interval form, we use the order relations. These relations are the representations of choices of decision maker. The maximization (or minimization) model with objective function in interval form is changed to multi- objective based on order relations introduced by the decision makers' preference in case of interval profits (or costs). In the last, we solve a numerical example to support the proposed solution methodology.

Neutrosophic Sets in Decision Analysis and Operations Research

Abdel-Basset, Mohamed,Smarandache, Florentin
Neutrosophic Sets in Decision Analysis and Operations Research Book PDF

Author : Abdel-Basset, Mohamed,Smarandache, Florentin
Publisher : IGI Global
Page : 470 pages
File Size : 49,9 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 Sets and Systems, vol. 51/2022

Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Neutrosophic Sets and Systems vol 51 2022 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 970 pages
File Size : 43,7 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 51/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems, Vol. 36, 2020

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Sets and Systems Vol 36 2020 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 410 pages
File Size : 54,6 Mb
Release : 2024-06-10
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 36, 2020 by Florentin Smarandache,Mohamed Abdel-Basset Pdf

“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. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.