Vector valued information measures and integration with respect to fuzzy vector capacities

Integration with respect to vector-valued fuzzy measures is used to define and study information measuring tools. Motivated by some current developments in Information Science, we apply the integration of scalar functions with respect to vector-valued fuzzy measures, also called vector capacities. B...

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Bibliographic Details
Published in:Fuzzy sets and systems 2019-01, Vol.355, p.1-25
Main Authors: Sánchez Pérez, E.A., Szwedek, R.
Format: Article
Language:English
Subjects:
Choquet integral
Measures of information
Non-additive measures
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Summary:Integration with respect to vector-valued fuzzy measures is used to define and study information measuring tools. Motivated by some current developments in Information Science, we apply the integration of scalar functions with respect to vector-valued fuzzy measures, also called vector capacities. Bartle–Dunford–Schwartz integration (for the additive case) and Choquet type integration (for the non-additive case) are considered, showing that these formalisms can be used to define and develop vector-valued impact measures. Examples related to existing bibliometric tools as well as to new measuring indices are given.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2018.05.004