This paper presents the development and investigates the properties of ordered weighted learning vector quantization (LVQ) and clustering algorithms. These algorithms are developed by using gradient descent to minimize reformulation functions based on aggregation operators. An axiomatic approach provides conditions for selecting aggregation operators that lead to admissible reformulation functi...

Multidimensional models are at the core of data warehouse systems, since they allow decision makers to early define the relevant information and queries that are required to satisfy their information needs. The use of aggregation functions is a cornerstone in the definition of these multidimensional queries. However, current proposals for multidimensional modeling lack the mechanisms to define ...

Aggregation is a mathematical process consisting in the fusion of set values into unique one and representing them some sense. functions have demonstrated to be very important many problems related information. This has resulted extended use these not only combine family numbers but also certain structures such as metrics or norms, classical context, indistinguishability operators fuzzy context...

We have measured fruiting body density and spore formation efficiency in Dictyostelium discoideum as functions of initial cell density. Experiments were performed on agar made up with distilled water and on buffered agar. Minor differences are seen; these are discussed. The functions show 4 regions of density dependence which can be accounted for by changes in aggregation characteristics with d...

OLAP applications are widely used in business applications. They are often (implicitly) defined on top of OLTP systems and extensively use aggregation and transformation functions. The main OLAP data structure is a multidimensional table with three kinds of attributes: so-called dimension attributes, implicit attributes given by aggregation functions and fact attributes. Domains of dimension at...

in this work, we define a fuzzy soft set theory and its related properties. we then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.

In the last decades, many families of aggregation functions have been presented playing a fundamental role in research fields such as decision making, fuzzy mathematical morphology, etc. For this reason, it is necessary to study different types operators be potentially used concrete application well properties they can satisfy. paper, conjunctive and disjunctive rational bivariate degree two nu...

We study a model of selfish resource allocation that seeks to incorporate dependencies among resources as they exist in modern networked environments. Our model is inspired by utility functions with constant elasticity of substitution (CES) which is a well-studied model in economics. We consider congestion games with different aggregation functions. In particular, we study Lp norms and analyze ...