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Construction of rule-based assignment models

Azibi, Riad; Vanderpooten, Daniel (2002), Construction of rule-based assignment models, European Journal of Operational Research, 138, 2, p. 274-293. http://dx.doi.org/10.1016/S0377-2217(01)00246-6

Type
Article accepté pour publication ou publié
Date
2002
Journal name
European Journal of Operational Research
Volume
138
Number
2
Pages
274-293
Publication identifier
http://dx.doi.org/10.1016/S0377-2217(01)00246-6
Metadata
Show full item record
Author(s)
Azibi, Riad
Vanderpooten, Daniel
Abstract (EN)
Assignment refers to the problem of assigning objects or alternatives described on multiple dimensions into predefined categories.Most assignment models use analytical mechanisms to aggregate multiple dimensions in order to select a category for each candidate object. We investigate another approach based on the use of simple “if…then…” rules.We propose a general approach for a progressive construction of a rule-based assignment model. The process consists of testing iteratively the consistency of the rule base to transform it progressively into a consistent assignment model. Consistency tests are based on a correspondence between the logical representation of rules and an equivalent algebraic representation. This allows us to express rules by linear constraints and then to test the consistency of rule-based assignment models by solving a series of linear programs.
Subjects / Keywords
Rules; Assignment; Multiple criteria analysis; Integer programming

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