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Generation of multi-dimensional aggregation functions. (English) Zbl 0955.03060
Summary: We study two ways of generating multi-dimensional aggregation functions. First of all we obtain multi-dimensional OWA operators in two different ways, one of them through quantifiers and the other through sequences. In the first case, we see that all the operators we obtain are multi-dimensional aggregation functions. We then characterize the multi-dimensional aggregation functions that are generated by quantifiers. In the second case, we characterize the sequences that provide multi-dimensional aggregation functions and give examples and properties.

MSC:
03E72 Theory of fuzzy sets, etc.
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