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

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 mod...

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Published in:Proyecciones (Antofagasta) Vol. 39; no. 3; pp. 621 - 637
Main Authors: Dutta, Dhiman, Sen, Mausumi, Singha, Biplab
Format: Journal Article
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 03.06.2020
Subjects:
MATHEMATICS
Solid transportation problem
Multi-item multi-objective transportation problem
Type-2 triangular fuzzy variable
Chance constrained programming
Fixed charge transportation problem
Type-2 fuzzy set
ISSN:0716-0917
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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.
AbstractList 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 Sen, Mausumi
Dutta, Dhiman
Singha, Biplab
AuthorAffiliation National Institute of Technology Silchar
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  fullname: Singha, Biplab
  organization: National Institute of Technology Silchar
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Issue 3
Keywords Solid transportation problem
Multi-item multi-objective transportation problem
Type-2 triangular fuzzy variable
Chance constrained programming
Fixed charge transportation problem
Type-2 fuzzy set
Language English
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