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On the fundamental convergence in the (C) mean in problems of information fusion |
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| Authors: | Witold Pedrycz Lanzhen Yang |
| Affiliation: | a Department of Electrical & Computer Engineering, University of Alberta, Edmonton, Canada b Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland c College of Mathematics and Computer Sciences, Hebei University, Baoding, 071002, China |
| Abstract: | The Choquet integral can be regarded as one of aggregation operators being used in information fusion. In this study, we offer an interpretation of sequences of measurable functions and the Choquet integral in the framework of information fusion. Based on an efficiency measure space, we also define a new concept of a fundamental convergence in the (C) mean of sequences of measurable functions and discuss its theoretical underpinnings along with related interpretation issues as well as deliver some new results. Furthermore, an application of this concept is discussed in the context of information fusion. More specifically, based on the theoretical investigations, this idea is applied to the determination of a measurable function being used in the Choquet integral. |
| Keywords: | Information fusion Convergence in the (C) mean Fundamental convergence in the (C) mean Convergence in fuzzy measure Fundamental convergence in fuzzy measure |
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