A genemlized possibility-distribution-fuzzy-relationalmodel is proposed considering semantic ambiguity for membership attribute values and ambiguity contained in them. And then the extended relational algebra is shown. In order to eliminate the semantic ambiguity, a membership attribute is attached to each attribute. This clarifies the origin of membership attribute values. What a membership at...

In this article, we discuss a method for distributing a new input or output to a set of decision making units so that by the end of the distribution all units are considered efficient in the DEA-CCR concept. The formulation follows the pattern referred in the literature as parametric DEA. This paper’s contribution is introducing the possibility of modeling with the inclusion of constraints on t...

Several transformations from probabilities to possibilities have been proposed. In particular, Dubois and Prade’s procedure produces the most specific possibility distribution among the ones dominating a given probability distribution. In this paper, this method is generalized to the case where the probabilities are unknown, the only information being a data sample represented by a histogram. I...

Probability distributions of macaque complex cell responses to a large set of images were determined. Measures of selectivity were based on the overall shape of the response probability distribution, as quantified by either kurtosis or entropy. We call this non-parametric selectivity, in contrast to parametric selectivity, which measures tuning curve bandwidths. To examine how receptive field p...

Time series forecasting (i.e. the prediction of unknown future time series values using known data) has found several applications in a number of fields, like, economics and electricity forecasting [15]. Most of the used forecasting models deliver a so-called point forecast [4], a value that according to the models’ criteria is most likely to occur. Nonetheless, such forecasts lack information ...

We discuss the design of interactive, internet based benchmarking using parametric (statistical) as well as non-parametric (DEA) models. The user receives benchmarks and improvement potentials. The user is also given the possibility to search different efficiency frontiers and hereby to explore alternative improvement strategies. An implementation of both a parametric and a non parametric model...

Multivariate control chats are generally used in situations where the simultaneous monitoring or control of two or more related quality characteristics is necessary. In most processes in the real world, distribution of the process characteristics are unknown or at least non-normal, so the non-parametric or distribution-free charts are desirable. Most non-parametric statistical process-control t...