Judgment aggregation problems are language dependent in that they may be framed in different yet equivalent ways. We formalize this dependence via the notion of translation invariance, adopted from the philosophy of science, and we argue for its normative desirability. We show that in the canonical judgment aggregation model, no reasonable judgment aggregation functions are translation invarian...

Aggregation refers to the process of combining numerical values x1, . . . , xm into a single one M (x1, . . . , xm), so that the final result of aggregation takes into account all the individual values. In decision making, values to be aggregated are typically preference or satisfaction degrees and thus belong to the unit interval [0, 1]. This paper aims at investigating the Sugeno integral whi...

In this paper, we propose a framework for a class of learning problems that we refer to as “learning to aggregate”. Roughly, learningto-aggregate problems are supervised machine learning problems, in which instances are represented in the form of a composition of a (variable) number on constituents; such compositions are associated with an evaluation, score, or label, which is the target of the...

In this paper we prove that, under suitable conditions, Atanassov’s Ka operators, which act on intervals, provide the same numerical results as OWA operators of dimension two. On one hand, this allows us to recover OWA operators from Ka operators. On the other hand, by analyzing the properties of Atanassov’s operators, we can generalize them. In this way, we introduce a class of aggregation fun...

while ignoring income distribution and estimating aggregate demand generally leads to aggregation bias and thus, does not reflect households’ demand properly, yet aggregation bias is rarely considered in empirical demand studies and simply is ignored in most cases. the objective of the present study is to estimate aggregation bias in households’ demand for various types of meats and to evaluate...

protein aggregation is a serious problem for both biotechnology and cell biology. diseases such as prion misfolding, alzheimer’s, and other amyloidosis are phenomena for which protein aggregation in our living cells is of considerable relevance. human lysozyme has been shown to form amyloid fibrils in individuals suffering from nonneuropathic systemic amyloidosis, all of which have point mutati...

*Correspondence: [email protected] 1Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, Netherlands Full list of author information is available at the end of the article Abstract Purpose: Aggregation functions are used in distributed environments to make system-wide information locally available in the nodes of a...

We extend different Description Logics by concrete domains (such as integers and reals) and by aggregation functions over these domains (such as min;max; count; sum), which are usually available in database systems. On the one hand, we show that this extension may lead to undecidability of the basic inference problems satisfiability and subsumption. This is true even for a very small Descriptio...

a series of novel 2-aminopyrimidine and 2-substituted-4,6-diaminopyrimidine derivatives have been synthesized and their anti platelet aggregation activities were assessed against adp and arachidonic acid- induced platelet aggregation in human plasma using light transmission aggregometry. none of the compounds showed satisfactory activity against the aggregation induced by adp. however, satisfac...

New applications from the areas of analytical data processing and data integration require powerful features to condense and reconcile available data. Object-relational and other data management systems available today provide only limited concepts to deal with these requirements. The general concept of grouping and aggregation appears to be a fitting paradigm for a number of the mentioned issu...