Neutrosophic augmented Lagrange multipliers method Nonlinear Programming Problems Constrained by Inequalities

Operations research uses scientific methods that take the language of mathematics as a basis and uses the computer, without which it would not be possible to achieve numerical solutions to the problems raised. It is concerned with applying scientific methods to complex issues in the management and d...

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Main Authors: Florentin Smarandache, Maissam Jdid, Takaaki Fujita
Format: Article
Language:English
Published: University of New Mexico 2025-04-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/45LagrangeMultipliers.pdf
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author Florentin Smarandache
Maissam Jdid
Takaaki Fujita
author_facet Florentin Smarandache
Maissam Jdid
Takaaki Fujita
author_sort Florentin Smarandache
collection DOAJ
description Operations research uses scientific methods that take the language of mathematics as a basis and uses the computer, without which it would not be possible to achieve numerical solutions to the problems raised. It is concerned with applying scientific methods to complex issues in the management and direction of large systems in various fields and private and governmental businesses in peace and war in politics, management, economics, planning and implementation and in all aspects of life. In issues that require sound solutions, when solutions are numerous and options are multiple, we need a decision based on sound scientific foundations that take into account all the circumstances and changes that the decision maker may face during the course of work, and help him make a decision that leaves nothing to chance or luck. For this reason, operations research has provided many methods that help us transform life issues into mathematical models whose optimal solution is the appropriate decision. The nonlinear programming method is one of the most important methods presented by operations research because most problems, when modeled, result in a nonlinear model, which prompted many students and researchers to search for appropriate scientific methods to solve these models. One of the most important and most widely used of these methods is the Lagrange multipliers method.
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spelling doaj-art-41b9bf224ed44709a2bc1bc18efef8aa2025-08-25T09:44:59ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-04-018174175210.5281/zenodo.14897457Neutrosophic augmented Lagrange multipliers method Nonlinear Programming Problems Constrained by InequalitiesFlorentin SmarandacheMaissam JdidTakaaki FujitaOperations research uses scientific methods that take the language of mathematics as a basis and uses the computer, without which it would not be possible to achieve numerical solutions to the problems raised. It is concerned with applying scientific methods to complex issues in the management and direction of large systems in various fields and private and governmental businesses in peace and war in politics, management, economics, planning and implementation and in all aspects of life. In issues that require sound solutions, when solutions are numerous and options are multiple, we need a decision based on sound scientific foundations that take into account all the circumstances and changes that the decision maker may face during the course of work, and help him make a decision that leaves nothing to chance or luck. For this reason, operations research has provided many methods that help us transform life issues into mathematical models whose optimal solution is the appropriate decision. The nonlinear programming method is one of the most important methods presented by operations research because most problems, when modeled, result in a nonlinear model, which prompted many students and researchers to search for appropriate scientific methods to solve these models. One of the most important and most widely used of these methods is the Lagrange multipliers method. https://fs.unm.edu/NSS/45LagrangeMultipliers.pdfoperations researchnonlinear programminglagrange multipliersneutrosophic scienceneutrosophic nonlinear programmingneutrosophic augmented lagrange multipliers method
spellingShingle Florentin Smarandache
Maissam Jdid
Takaaki Fujita
Neutrosophic augmented Lagrange multipliers method Nonlinear Programming Problems Constrained by Inequalities
Neutrosophic Sets and Systems
operations research
nonlinear programming
lagrange multipliers
neutrosophic science
neutrosophic nonlinear programming
neutrosophic augmented lagrange multipliers method
title Neutrosophic augmented Lagrange multipliers method Nonlinear Programming Problems Constrained by Inequalities
title_full Neutrosophic augmented Lagrange multipliers method Nonlinear Programming Problems Constrained by Inequalities
title_fullStr Neutrosophic augmented Lagrange multipliers method Nonlinear Programming Problems Constrained by Inequalities
title_full_unstemmed Neutrosophic augmented Lagrange multipliers method Nonlinear Programming Problems Constrained by Inequalities
title_short Neutrosophic augmented Lagrange multipliers method Nonlinear Programming Problems Constrained by Inequalities
title_sort neutrosophic augmented lagrange multipliers method nonlinear programming problems constrained by inequalities
topic operations research
nonlinear programming
lagrange multipliers
neutrosophic science
neutrosophic nonlinear programming
neutrosophic augmented lagrange multipliers method
url https://fs.unm.edu/NSS/45LagrangeMultipliers.pdf
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AT maissamjdid neutrosophicaugmentedlagrangemultipliersmethodnonlinearprogrammingproblemsconstrainedbyinequalities
AT takaakifujita neutrosophicaugmentedlagrangemultipliersmethodnonlinearprogrammingproblemsconstrainedbyinequalities