On Some Properties of Aggregation-Based Extensions of Fuzzy Measures
12. März 2019
Über diesen Artikel
Online veröffentlicht: 12. März 2019
Seitenbereich: 43 - 54
Eingereicht: 14. Sept. 2018
DOI: https://doi.org/10.2478/tmmp-2018-0020
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© 2018 L’ubomíra Horanská, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In this paper, we analyse properties of aggregation-based extensions of fuzzy measures depending on properties of aggregation functions which they are based on. We mainly focus on properties possessed by the well-known Lovász and Owen extensions. Moreover, we characterize aggregation functions suitable for extension of particular subclasses of fuzzy measures.