<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

On Some Properties of Aggregation-Based Extensions of Fuzzy Measures

Slovak University of Technology in Bratislava

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On Some Properties of Aggregation-Based Extensions of Fuzzy Measures"}

In this paper, we analyse properties of aggregation-based extensions of fuzzy measures depending on properties of aggregation functions which they are based...

On Some Properties of Aggregation-Based Extensions of Fuzzy Measures

Published Online: Mar 12, 2019

Page range: 43 - 54

Received: Sep 14, 2018

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

Keywords
aggregation function, fuzzy measure, Möbius transform

© 2018 L’ubomíra Horanská, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Some Properties of Aggregation-Based Extensions of Fuzzy Measures

Published Online: Mar 12, 2019

Page range: 43 - 54

Received: Sep 14, 2018

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

Keywordsaggregation function, fuzzy measure, Möbius transform

© 2018 L’ubomíra Horanská, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
aggregation function, fuzzy measure, Möbius transform