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Generation of multi-dimensional aggregation functions.

Margalida Mas GrimaltGaspar Mayor FortezaJaume SuñerJoan Torrens — 1998

Mathware and Soft Computing

In this paper 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...

On dispersion measures.

Javier MartínGaspar Mayor FortezaJaume Suñer — 2001

Mathware and Soft Computing

In this paper a new framework for the study of measures of dispersion for a class of n-dimensional lists is proposed. The concept of monotonicity with respect to a sharpened-type order is introduced. This type of monotonicity, together with other well known conditions, allows to create a reasonable and general ambit where the notion of dispersion measure can be studied. Some properties are analized and relations with other approaches carried out by different authors on this subject are established....

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