On Some Properties of Aggregation-Based Extensions of Fuzzy Measures

Horanská, L’ubomíra

doi:10.2478/tmmp-2018-0020

Abstract

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.

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On Some Properties of Aggregation-Based Extensions of Fuzzy Measures

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