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Aggregation on ordinal scales with the Sugeno integral for biomedical applications

journal contribution
posted on 2019-01-01, 00:00 authored by Gleb BeliakovGleb Beliakov, Marek GagolewskiMarek Gagolewski, Simon JamesSimon James
© 2019 Elsevier Inc. The Sugeno integral is a function particularly suited to the aggregation of ordinal inputs. Defined with respect to a fuzzy measure, its ability to account for complementary and redundant relationships between variables brings much potential to the field of biomedicine, where it is common for measurements and patient information to be expressed qualitatively. However, practical applications require well-developed methods for identifying the Sugeno integral's parameters, and this task is not easily expressed using the standard optimisation approaches. Here we formulate the objective function as the difference of two convex functions, which enables the use of specialised numerical methods. Such techniques are compared with other global optimisation frameworks through a number of numerical experiments.

History

Journal

Information sciences

Volume

501

Pagination

377 - 387

Publisher

Elsevier

Location

Amsterdam, The Netherlands

ISSN

0020-0255

Language

eng

Publication classification

C1 Refereed article in a scholarly journal

Copyright notice

2019, Elsevier