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Aggregation operators based on indistinguishability operators. (English) Zbl 1112.68122
Summary: This article gives a new approach to aggregation assuming that there is an indistinguishability operator or similarity defined on the universe of discourse. The very simple idea is that when we want to aggregate two values \(a\) and \(b\) we are looking for a value \(\lambda\) with which \(a\) and \(b\) must be equivalent. Interesting aggregation operators on the unit interval are obtained from natural indistinguishability operators associated to t-norms that are ordinal sums.

MSC:
68T37 Reasoning under uncertainty in the context of artificial intelligence
03E72 Theory of fuzzy sets, etc.
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