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Set-based extended aggregation functions
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DOI：10.1002/int.22128.png)
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Abstract
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Inspired by the Zadeh approach to fuzzy connectives in fuzzy set theory and by some applications, we introduce and study set-based extended functions, and in particular, set-based extended aggregation functions. These functions reflect neither reordering nor repetition of input values, and, linking different arities, they introduce serious constraints for extended functions. A complete characterization of set-based extended (aggregation) functions is given, and some constructions of such functions are also proposed, including several examples.
Keywords:
aggregation function
extended aggregation function
extended function
set-based extended aggregation function
set-based extended function
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