Visualising Rough Time Intervals in a Two-Dimensional Space

نویسندگان

  • Yi Qiang
  • Katrin Asmussen
  • Matthias Delafontaine
  • Birger Stichelbaut
  • Guy De Tré
  • Philippe De Maeyer
  • Nico Van de Weghe
چکیده

A lot of disciplines (e.g. archaeology) have to process imprecise temporal information. There are different possibilities to handle this kind of information, amongst them e.g. fuzzy set theory and rough set theory. In this paper, due to its capability in the context of many data acquisition applications, the focus has been set on rough set theory. To illustrate temporal information, an interval is often visualised by means of a one-dimensional segment in a onedimensional space. An alternative representation of time intervals is called the Triangular Model (TM) by which a time interval is represented by a point in a two-dimensional space. In this paper, rough set theory is applied into TM, which gets extended to the Rough Triangular Model (RTM). In RTM, Rough Time Intervals (RTI) and their mutual relations can be visualised diagrammatically, which offers opportunities to visualise and analyse imprecise temporal information. Aerial photos, taken during World War , containing imprecise temporal information with archaeological background, are used to illustrate the potentials of the model in processing RTI.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Modelling imperfect time intervals in a two - dimensional space

Every event has an extent in time, which is usually described by crisp time intervals. However, under some circumstances, temporal extents of events are imperfect, and therefore cannot be adequately modelled by crisp time intervals. Rough sets and fuzzy sets are two frequently used tools for representing imperfect temporal information. In this paper, we apply a two-dimensional representation of...

متن کامل

Interactive analysis of time intervals in a two-dimensional space

Time intervals are conventionally represented as linear segments in a one-dimensional space. An alternative representation of time intervals is the triangular model (TM), which represents time intervals as points in a two-dimensional space. In this paper, the use of TM in visualising and analysing time intervals is investigated. Not only does this model offer a compact visualisation of the dist...

متن کامل

An Implicit Difference-ADI Method for the Two-dimensional Space-time Fractional Diffusion Equation

Fractional order diffusion equations are generalizations of classical diffusion equations which are used to model in physics, finance, engineering, etc. In this paper we present an implicit difference approximation by using the alternating directions implicit (ADI) approach to solve the two-dimensional space-time fractional diffusion equation (2DSTFDE) on a finite domain. Consistency, unconditi...

متن کامل

Topological structure on generalized approximation space related to n-arry relation

Classical structure of rough set theory was first formulated by Z. Pawlak in [6]. The foundation of its object classification is an equivalence binary relation and equivalence classes. The upper and lower approximation operations are two core notions in rough set theory. They can also be seenas a closure operator and an interior operator of the topology induced by an equivalence relation on a u...

متن کامل

Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted Legendre Operational Matrices

Fractional differential equations (FDEs) have attracted in the recent years a considerable interest due to their frequent appearance in various fields and their more accurate models of systems under consideration provided by fractional derivatives. For example, fractional derivatives have been used successfully to model frequency dependent damping behavior of many viscoelastic materials. They a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009