We propose extensions and distorsion techniques to improve the flexibility of λ-fuzzy measures. As for extensions, we suggest to use the family of Archimedean t-conorms as generators of the fuzzy measures. As for distortions, we propose the composition or patchwork of different generators. As an example of application, we show that in option pricing these techniques substantially improve the flexibility of the model to reproduce features observed from market data that only one Archimedean generator would not be able to represent.

Extensions and distortions of λ-fuzzy measures

Cherubini U.
;
Mulinacci S.
2021

Abstract

We propose extensions and distorsion techniques to improve the flexibility of λ-fuzzy measures. As for extensions, we suggest to use the family of Archimedean t-conorms as generators of the fuzzy measures. As for distortions, we propose the composition or patchwork of different generators. As an example of application, we show that in option pricing these techniques substantially improve the flexibility of the model to reproduce features observed from market data that only one Archimedean generator would not be able to represent.
2021
Cherubini U.; Mulinacci S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/757175
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