An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem

This paper develops a general form of neutrosophic linear fractional programming (NLFP) problem and proposed a novel model to solve it. In this method the NLFP problem is decomposed into two neutrosophic linear programming (NLP) problem. Furthermore, the problem has been solved by combination of dua...

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Main Authors: Sapan Kumar Das, S.A. Edalatpanah, Jatindra Kumar Dash
Format: Article
Language:English
Published: University of New Mexico 2020-09-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/AnIntelligentDualSimplex5.pdf
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author Sapan Kumar Das
S.A. Edalatpanah
Jatindra Kumar Dash
author_facet Sapan Kumar Das
S.A. Edalatpanah
Jatindra Kumar Dash
author_sort Sapan Kumar Das
collection DOAJ
description This paper develops a general form of neutrosophic linear fractional programming (NLFP) problem and proposed a novel model to solve it. In this method the NLFP problem is decomposed into two neutrosophic linear programming (NLP) problem. Furthermore, the problem has been solved by combination of dual simplex method and a special ranking function. In addition, the model is compared with an existing method. An illustrative example is shown for better understanding of the proposed method. The results show that the method is computationally very simple and comprehensible.
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spelling doaj.art-cc63351d80774b49bf8b4880d61928302023-07-30T17:29:45ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-09-0136506910.5281/zenodo.4065379An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming ProblemSapan Kumar DasS.A. EdalatpanahJatindra Kumar DashThis paper develops a general form of neutrosophic linear fractional programming (NLFP) problem and proposed a novel model to solve it. In this method the NLFP problem is decomposed into two neutrosophic linear programming (NLP) problem. Furthermore, the problem has been solved by combination of dual simplex method and a special ranking function. In addition, the model is compared with an existing method. An illustrative example is shown for better understanding of the proposed method. The results show that the method is computationally very simple and comprehensible.https://fs.unm.edu/NSS/AnIntelligentDualSimplex5.pdftriangular neutrosophic numbersdual simplex methodranking functionlinear fractional programminglinear programming
spellingShingle Sapan Kumar Das
S.A. Edalatpanah
Jatindra Kumar Dash
An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem
Neutrosophic Sets and Systems
triangular neutrosophic numbers
dual simplex method
ranking function
linear fractional programming
linear programming
title An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem
title_full An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem
title_fullStr An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem
title_full_unstemmed An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem
title_short An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem
title_sort intelligent dual simplex method to solve triangular neutrosophic linear fractional programming problem
topic triangular neutrosophic numbers
dual simplex method
ranking function
linear fractional programming
linear programming
url https://fs.unm.edu/NSS/AnIntelligentDualSimplex5.pdf
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