349,469 research outputs found
Ranking for Objects and Attribute Reductions in Intuitionistic Fuzzy Ordered Information Systems
We aim to investigate intuitionistic fuzzy ordered information
systems. The concept of intuitionistic fuzzy ordered information
systems is proposed firstly by introducing an intuitionistic fuzzy relation
to ordered information systems. And a ranking approach for all objects
is constructed in this system. In order to simplify knowledge representation,
it is necessary to reduce some dispensable attributes in the system.
Theories of rough set are investigated in intuitionistic fuzzy ordered information
systems by defining two approximation operators. Moreover,
judgement theorems and methods of attribute reduction are discussed
based on discernibility matrix in the systems, and an illustrative example is
employed to show its validity. These results will be helpful for decisionmaking
analysis in intuitionistic fuzzy ordered information systems
On Robust Regulation of PDEs: from Abstract Methods to PDE Controllers
In this paper we study robust output tracking and disturbance rejection of linear partial differential equation (PDE) models. We focus on demonstrating how the abstract internal model based controller design methods developed for "regular linear systems" can be utilised in controller design for concrete PDE systems. We show that when implemented for PDE systems, the abstract control design methods lead in a natural way to controllers with "PDE parts". Moreover, we formulate the controller construction in a way which utilises minimal knowledge of the abstract system representation and is instead solely based on natural properties of the original PDE. We also discuss computation and approximation of the controller parameters, and illustrate the results with an example on control design for a boundary controlled diffusion equation.acceptedVersionPeer reviewe
Query processing of geometric objects with free form boundarie sin spatial databases
The increasing demand for the use of database systems as an integrating
factor in CAD/CAM applications has necessitated the development of database
systems with appropriate modelling and retrieval capabilities. One essential
problem is the treatment of geometric data which has led to the development of
spatial databases. Unfortunately, most proposals only deal with simple geometric
objects like multidimensional points and rectangles. On the other hand, there has
been a rapid development in the field of representing geometric objects with free
form curves or surfaces, initiated by engineering applications such as mechanical
engineering, aviation or astronautics. Therefore, we propose a concept for the realization
of spatial retrieval operations on geometric objects with free form
boundaries, such as B-spline or Bezier curves, which can easily be integrated in
a database management system. The key concept is the encapsulation of geometric
operations in a so-called query processor. First, this enables the definition of
an interface allowing the integration into the data model and the definition of the
query language of a database system for complex objects. Second, the approach
allows the use of an arbitrary representation of the geometric objects. After a
short description of the query processor, we propose some representations for free
form objects determined by B-spline or Bezier curves. The goal of efficient query
processing in a database environment is achieved using a combination of decomposition
techniques and spatial access methods. Finally, we present some experimental
results indicating that the performance of decomposition techniques is
clearly superior to traditional query processing strategies for geometric objects
with free form boundaries
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