We focus on the problem of constructing functions that are able to measure the degree of consensus for a set of inputs provided over the unit interval. When making evaluations based on inputs from multiple criteria, sources or experts, the resulting output can be seen as the value which best represents the individual contributions. However it may also be desirable to know the extent to which th...

In many cases, aggregate data is used to make inferences about individual level behavior. If there are social interactions in which one person’s actions influence his neighbor’s incentives or information, then these inferences are inappropriate. The presence of positive social interactions, or strategic complementarities, implies the existence of a social multiplier where aggregate relationship...

Existing statistical ultimate (Frisbee) analyses rely on data aggregates to produce numeric statistics, such as completion percentage and scoring rate, that assess strengths and weaknesses of individuals and teams. We leverage sequential, location-based data to develop completion and scoring maps. These are visual tools that describe the aggregate statistics as a function of location. From thes...

Dialectometric techniques for analyzing variation in the aggregate are maturing rapidly, but there is still little agreement on how to extract linguistic structure from aggregate comparison. The present paper explores one means of comparing aggregate analyses in order to determine linguistically concise restrictions, essentially the use of factor analysis. Using the Southern states data which G...

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Different concepts and decomposition theorems have been done for QTAGmodules by number of authors. We introduce quasi h-pure submodules for QTAG-modules andwe obtain several characterizations for quasih-pure submodules and as a consequence we deduce a result done by Fuchs 1973.

There is given a short overview of the monograph ”Aggregation Functions” (M. Grabisch, J. L. Marichal, R. Mesiar, E. Pap), Cambridge University Press (in press) with more details from introductory Chapters 1 and 2.

We study the demand function of a group of S members facing a global budget constraint. Any vector belonging to the budget set can be consumed within the group, with no restriction on the form of individual preferences, the nature of individual consumptions or the form of the decision process beyond efficiency. Moreover, only the group aggregate behavior, summarized by its demand function, is o...

Before sharing to support ad hoc aggregate analyses, microdata often need to be anonymized to protect the privacy of individuals. A variety of privacy models have been proposed for microdata anonymization. Many of these models (e.g., -closeness) essentially require that, after anonymization, groups of sensitive attribute values follow specified distributions. To support such models, in this pap...

In-network data aggregation allows energy-efficient communication within a sensor network. However, such data aggregation introduces new security challenges. As sensor nodes are prone to node-compromise, a fraction of nodes might act maliciously and forge aggregated data. For arbitrary aggregation functions, the verification of authenticity of aggregated data, i.e., its correctness, integrity, ...