A new mathematical programming approach to multi-group classification problems

In this paper we introduce a goal programming formulation for the multi-group classification problem. Although a great number of mathematical programming models for two-group classification problems have been proposed in the literature, there are few mathematical programming models for multi-group c...

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Bibliographic Details
Published in:Computers & operations research 2011, Vol.38 (1), p.105-111
Main Authors: Bal, Hasan, Örkcü, H. Hasan
Format: Article
Language:English
Subjects:
Applied sciences
Classification
Comparative analysis
Computer science
control theory
systems
Data processing. List processing. Character string processing
Decision theory. Utility theory
Discriminant analysis
Exact sciences and technology
Goal programming
Mathematical programming
Memory organisation. Data processing
Multi-group classification problems
Operational research and scientific management
Operational research. Management science
Simulation
Software
Statistical methods
Studies
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Summary:In this paper we introduce a goal programming formulation for the multi-group classification problem. Although a great number of mathematical programming models for two-group classification problems have been proposed in the literature, there are few mathematical programming models for multi-group classification problems. Newly proposed multi-group mathematical programming model is compared with other conventional multi-group methods by using different real data sets taken from the literature and simulation data. A comparative analysis on the real data sets and simulation data shows that our goal programming formulation may suggest efficient alternative to traditional statistical methods and mathematical programming formulations for the multi-group classification problem.
ISSN:0305-0548
1873-765X
0305-0548
DOI:10.1016/j.cor.2010.04.003