Pretopologies and Dynamic Spaces

Authors:
Piero Pagliani
Affiliations:
Research Group on Knowledge and Communication Models, Via Imperia, 6, 00161 Rome, Italy
Venue:
Fundamenta Informaticae - The 9th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Conputing (RSFDGrC 2003)
Year:
2004

Citing 3
Cited 1

Rough Sets: Theoretical Aspects of Reasoning about Data

Rough Sets: Theoretical Aspects of Reasoning about Data
Approximation of Relations

RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
A Preview of the Basic Picture: A New Perspective on Formal Topology

TYPES '98 Selected papers from the International Workshop on Types for Proofs and Programs

Temporal Dynamics in Information Tables

Fundamenta Informaticae - From Physics to Computer Science: to Gianpiero Cattaneo for his 70th birthday

Quantified Score

Hi-index	0.00

Visualization

Abstract

Approximation Spaces were introduced in order to analyse data on the basis of Indiscernibility Spaces, that is, spaces of the form , where U is a universe of items and E is an equivalence relation on U. Various authors suggested to consider spaces of the form , where R is any binary relation. This paper aims at introducing a further step consisting in taking into account spaces of the form , where {R_i}_{i∈I} is a family of binary relations, that we call „Dynamic Spaces” because by means of this generalisation we can account for different forms of dynamics. While Indiscernibility Spaces induce 0-dimensional topological spaces (Approximation Spaces), Dynamic Spaces induce various types of pre-topological spaces.