A Concept of Multicriteria Stratification: A Definition and Solution
نویسندگان
چکیده
This paper develops an approach to the problem of multicriteria ranking referred to as multicriteria stratification. The target of stratification is an ordered partition with predefined number of classes rather than a complete ranking of the set of objects. We formulate the problem of multicriteria stratification as a task of minimization of a cost function depending on criteria weights so that strata are to form compact layers on the axis of an aggregate criterion. A quadratic programming algorithm for the problem is proposed. A synthetic data generator for a comparative study of the stratification algorithm is developed. The novel algorithm appears to be competitive to a bunch of other approaches on synthetic data. Also, the algorithm is applied to two real-world datasets in the field of scientometrics and leads to sensible and well interpretable results. © 2014 The Authors. Published by Elsevier B.V. Selection and/or peer-review under responsibility of the organizers of ITQM 2014
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