✦ LIBER ✦

Aggregation operators based on indistinguishability operators

✍ Scribed by J. Jacas; J. Recasens

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 301 KB
Volume: 21
Category: Article
ISSN: 0884-8173
DOI: 10.1002/int.20165

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✦ Synopsis

This article gives a new approach to aggregating 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 l that is as similar to a as to b or, in a more logical language, the degrees of equivalence of l with a and b must coincide. Interesting aggregation operators on the unit interval are obtained from natural indistinguishability operators associated to t-norms that are ordinal sums.

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