Uncertain Multiobjective Programming and Uncertain Goal Programming

Multiobjective programming, known as multi-criteria or multi-attribute optimization, is the process of simultaneously optimizing two or more conflicting objectives. This paper aims to provide a new multiobjective programming named uncertain multiobjective programming that is a type of multiobjective...

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Bibliographic Details
Published in:Journal of uncertainty analysis and applications Vol. 3; no. 1; pp. 1 - 8
Main Authors: Liu, Baoding, Chen, Xiaowei
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 19.08.2015
Springer Nature B.V
Subjects:
Computational Intelligence
Crisps
Goal programming
Inverse
Management Science
Mathematical models
Mathematical programming
Mathematics
Mathematics and Statistics
Multiple objective
Operations Research
Operations Research/Decision Theory
Optimization
Uncertainty
Uncertain programming
Multiobjective programming
Uncertainty theory
Goal programming
ISSN:2195-5468, 2195-5468
Online Access:Get full text
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Summary:Multiobjective programming, known as multi-criteria or multi-attribute optimization, is the process of simultaneously optimizing two or more conflicting objectives. This paper aims to provide a new multiobjective programming named uncertain multiobjective programming that is a type of multiobjective programming involving uncertain variables. Some mathematical properties are also explored. Besides, uncertain goal programming is introduced as a compromise method for solving the uncertain multiobjective programming models. Both the uncertain multiobjective programming model and the uncertain goal programming model are transformed to crisp programming models with the help of the operational law of uncertain variables via inverse uncertainty distributions.
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ISSN:2195-5468
2195-5468
DOI:10.1186/s40467-015-0036-6