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k-maxitive aggregation functions
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DOI：10.1016/j.fss.2017.12.016.png)
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Abstract
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Inspired by the idea of k-maxitive measures, we introduce and study k-maxitive aggregation functions. In particular, 1-maxitive aggregation functions are shown to be just maxitive aggregation functions, i.e., maxima of distorted inputs. We introduce, among others, a representation of symmetric k-maxitive aggregation functions. Moreover, we show that for any k-maxitive capacity and the smallest universal integral based on an arbitrary fixed semicopula, including the Sugeno and Shilkret integrals, the resulting aggregation function is k-maxitive. (C) 2018 Elsevier B.V. All rights reserved.
Keywords:
Maxitive aggregation function
k-maxitive aggregation function
k-maxitive capacity
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