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International journal of computational intelligence systems, 2022-10, Vol.15 (1), p.1-10, Article 89
2022

Details

Autor(en) / Beteiligte
Titel
Measure Identification for the Choquet Integral: A Python Module
Ist Teil von
  • International journal of computational intelligence systems, 2022-10, Vol.15 (1), p.1-10, Article 89
Ort / Verlag
Dordrecht: Springer Netherlands
Erscheinungsjahr
2022
Link zum Volltext
Quelle
Taylor & Francis
Beschreibungen/Notizen
  • Fuzzy integrals are common concepts which are used to aggregate input values in practical applications. Aggregation of inputs using fuzzy integrals opens up numerous possibilities for modeling interaction, redundancy, and synergy of inputs. However, fuzzy integrals need a fuzzy measure to start this aggregation process. This situation pushes us into the fuzzy measure identification process. This process becomes difficult due to the monotony condition of the fuzzy measure and the exponential increase on the number of measure parameters. There are in the literature many ways to determine fuzzy measures. One of them is learning from data. In this paper, our aim is to introduce a new fuzzy measure identification tool to learn measures from empirical data. It is a Python module which finds the measure that minimizes the difference between the computed and expected outputs of the Choquet integral. In addition, we study some properties of the learning process. In particular, we consider k -additive fuzzy measures and belief functions as well as arbitrary fuzzy measures. Using these variety of measures we examine the effect of k and noisy data on the learning process.
Sprache
Englisch
Identifikatoren
ISSN: 1875-6883, 1875-6891
eISSN: 1875-6883
DOI: 10.1007/s44196-022-00146-w
Titel-ID: cdi_doaj_primary_oai_doaj_org_article_5e76a46e5fd046318fba6726c1dc8bc1

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