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New classes of threshold aggregation functions based upon the Tsallis q-exponential

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2 Author(s)
Rickard, J.T. ; Distrib. Infinity, Inc., Larkspur, CO, USA ; Aisbett, J.

We introduce two new classes of single-parameter aggregation functions based upon the Tsallis q-exponential function of non-extensive statistical mechanics. These aggregation functions facilitate simple modeling of two different common human reasoning traits of “threshold” inference, where either: 1) at least one input must exceed a threshold in order to achieve a non-zero aggregation output, or 2) if any one of the inputs exceeds a different threshold, the aggregation output takes its maximum value. We illustrate the thresholding behavior of these functions on interval type-2 fuzzy set inputs.

Published in:

IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint

Date of Conference:

24-28 June 2013

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