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Two novel methodologies for considering aggregation functions by implicit equations and minimization problems. (English) Zbl 1403.90662

Summary: In this work, we consider the problem of defining aggregation functions by means of two distinct methodologies. In the first one, we obtain an aggregation function in an implicit way, from a function which fulfills appropriate conditions. The second methodology, related to the idea of penalty function, is based on the minimization of a distance or error and can be seen as a generalization of the idea of correlation in statistics. We analyze the aggregation functions obtained with both methodologies and we present an illustrative decision-making example to show their different behaviors.

MSC:

90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
91B06 Decision theory
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
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