This paper develops a combinatorial description of the extreme points of the core of a necessity measure on a finite space. We use the ingredients of Dempster-Shafer theory to characterize a necessity measure and the extreme points of its core in terms of the Möbius inverse, as well as an interpretation of the elements of the core as obtained through a transfer of probability mass from non-elem...

Coworking (in Spanish Cotrabajo or Trabajo Cooperativo) is defined as a form of work that allows independent professionals entrepreneurs and from different sectors to share a common work space, either physical or virtual, to develop their own projects while, at the same time, enhancing the possibilities for joint initiatives. The first Spanish coworking centres opened in 2007. Since then, the p...

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by convex regions in this space. After pointing out a problem with the convexity requirement, we propose a formalization of conceptual spaces based on fuzzy star-shaped sets. Our formalization uses ...

There are two main approaches to obtaining \topological" cartesian-closed categories. Under one approach, one restricts to a full subcategory of topological spaces that happens to be cartesian closed | for example, the category of sequential spaces. Under the other, one generalises the notion of space | for example, to Scott's notion of equilogical space. In this paper we show that the two appr...

andApplied AnalysisHindawi Publishing Corporationhttp://www.hindawi.comVolume 2013 ISRNAppliedMathematicsHindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013International Journal ofCombinatorics Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013<...

At the same time, spaces of orderings occur naturally in a wide variety of contexts: semilocal rings [13] (more generally, rings with many units [22]) or skewfields [9] (more generally, domains [15] or ternary fields [12]) or ∗–fields with involution [10] (more generally, ∗–domains [19]). Spaces of orderings are the ‘local objects’ in the ‘global’ theory of spaces of signs (abstract real spectr...

South Africa’s democratic transition has had a significant impact upon localized governance systems in mediating development opportunities within the former apartheid homelands. This paper uses a case study from the former KaNgwane homeland to evaluate the role of the Matsamo Tribal Authority in shaping livelihoods and access to environmental resources. It is argued that although the colonial a...

We determine the implicit assumptions and the structure of the Single and Double Cross Calculi within Euclidean geometry, and use these results to guide the construction of analogous calculi in mereogeometry. The systems thus obtained have strong semantic and deductive similarities with the Euclidean-based Cross Calculi although they rely on a different geometry. This fact suggests that putting...