On some properties of aggregation-based extensions of fuzzy measures

In: Tatra Mountains Mathematical Publications, vol. 72, no. 2

Ľubomíra Horanská

Details:

Year, pages: 2019, 43 - 54

Language: eng

Keywords:

aggregation function, fuzzy measure, Möbius transform.

Article type: Scientific/Mathematics

DOI: https://doi.org/10.2478/tmmp-2018-0020

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About article:

In this paper, we analyze 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.

How to cite:

ISO 690:

Horanská, Ľ. 2019. On some properties of aggregation-based extensions of fuzzy measures. In Tatra Mountains Mathematical Publications, vol. 72, no.2, pp. 43-54. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0020

APA:

Horanská, Ľ. (2019). On some properties of aggregation-based extensions of fuzzy measures. Tatra Mountains Mathematical Publications, 72(2), 43-54. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0020

About edition:

Publisher: MU SAV

Published: 20. 12. 2019