Multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variables

Abstract: A multi-item multi-objective fixed charged solid transportation problema with guidelines e.g. unit transportation penalty, amounts, requirements, and conveyances as type-2 triangular fuzzy variables with conditions on few items and conveyances is formulated here. A chance constrained progr...

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Autores principales: Dutta,Dhiman, Sen,Mausumi, Singha,Biplab
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300621
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spelling oai:scielo:S0716-091720200003006212020-06-17Multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variablesDutta,DhimanSen,MausumiSingha,Biplab Solid transportation problem Fixed charge transportation problem Multi-item multi-objective transportation problem Chance constrained programming Type-2 fuzzy set Type-2 triangular fuzzy variable Abstract: A multi-item multi-objective fixed charged solid transportation problema with guidelines e.g. unit transportation penalty, amounts, requirements, and conveyances as type-2 triangular fuzzy variables with conditions on few items and conveyances is formulated here. A chance constrained programming model applying generalized credibility measure for the objective function as well as the constraints is formed with the critical value based reductions of corresponding type-2 fuzzy guidelines for this particular problem. The model is then converted into the equivalent crisp deterministic form. The optimal compromise solutions are obtained by fuzzy programming technique. An example is contributed to highlight the model and is then solved by applying Generalized Reduced Gradient (GRG) technique (applying LINGO 16). The sensitivity analysis of the model is also given to illustrate the model.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.3 20202020-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300621en10.22199/issn.0717-6279-2020-03-0038
institution Scielo Chile
collection Scielo Chile
language English
topic Solid transportation problem
Fixed charge transportation problem
Multi-item multi-objective transportation problem
Chance constrained programming
Type-2 fuzzy set
Type-2 triangular fuzzy variable
spellingShingle Solid transportation problem
Fixed charge transportation problem
Multi-item multi-objective transportation problem
Chance constrained programming
Type-2 fuzzy set
Type-2 triangular fuzzy variable
Dutta,Dhiman
Sen,Mausumi
Singha,Biplab
Multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variables
description Abstract: A multi-item multi-objective fixed charged solid transportation problema with guidelines e.g. unit transportation penalty, amounts, requirements, and conveyances as type-2 triangular fuzzy variables with conditions on few items and conveyances is formulated here. A chance constrained programming model applying generalized credibility measure for the objective function as well as the constraints is formed with the critical value based reductions of corresponding type-2 fuzzy guidelines for this particular problem. The model is then converted into the equivalent crisp deterministic form. The optimal compromise solutions are obtained by fuzzy programming technique. An example is contributed to highlight the model and is then solved by applying Generalized Reduced Gradient (GRG) technique (applying LINGO 16). The sensitivity analysis of the model is also given to illustrate the model.
author Dutta,Dhiman
Sen,Mausumi
Singha,Biplab
author_facet Dutta,Dhiman
Sen,Mausumi
Singha,Biplab
author_sort Dutta,Dhiman
title Multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variables
title_short Multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variables
title_full Multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variables
title_fullStr Multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variables
title_full_unstemmed Multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variables
title_sort multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variables
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300621
work_keys_str_mv AT duttadhiman multiitemmultiobjectivefixedchargedsolidtransportationproblemwithtype2fuzzyvariables
AT senmausumi multiitemmultiobjectivefixedchargedsolidtransportationproblemwithtype2fuzzyvariables
AT singhabiplab multiitemmultiobjectivefixedchargedsolidtransportationproblemwithtype2fuzzyvariables
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