Fuzzy Spatiotemporal Data Modeling and Operations in XML

Abstract

Because increasing requirements of fuzzy spatiotemporal applications are attracting much attention from both academia and industry, it is challenging to model fuzzy spatiotemporal data and effectively operate them. However, various researches are studied in traditional databases that impose strict restrictions, and relatively little work has been carried out in modeling and operating fuzzy spatiotemporal data in XML. In this paper, we propose a novel approach to model fuzzy spatiotemporal data based on XML. On the basis of the model, we investigate how to represent fuzzy spatiotemporal data in XML documents and extend the XML schema so that it is possible to describe fuzzy spatiotemporal data and capture the structural information of fuzzy spatiotemporal XML documents. Furthermore, we give algorithms for fuzzy operations, containing node operations and topological relationship operations. Finally, we apply our model in meteorological events.

Fuzzy spatio‐temporal ontologies and formal construction based on fuzzy Petri nets

“…However, there exist the problems of information imprecision and fuzziness in many spatio‐temporal application domains . In other words, spatio‐temporal information is often fuzzy in the real‐world applications.…”

“…However, there exist the problems of information imprecision and fuzziness in many spatio-temporal application domains. 9 In other words, spatio-temporal information is often fuzzy in the real-world applications. In GIS system, for example, the exact location of a moving car is unknown, but its possible locations may be defined as a certain area at a certain time.…”

“…For the fuzzy spatial information, ship A and ship B have different locations at different time points. The locations of A 1 , B 1 , and C 1 at time point T 1 are defined as triangular fuzzy numbers, say A 1 =<(2, 3, 4),(3,4,5)>, B 1 = <(3,4,5),(3,4,5)>, C 1 = <(6,7,8), (4, 5, 6)>; A 2 = <(4, 5, 6), (4, 5, 6)>, B 2 = <(7,8,9), (4, 5, 6) > and C 2 = <(6, 7, 8), (4, 5, 6)>. For the reason of space, we only give the graphical representations of A 1 , B 1 and An example of fuzzy spatio-temporal ontology [Color figure can be viewed at wileyonlinelibrary.com] C 1 , as shown inFigure 4.…”

Modeling Topological Relationships between Fuzzy Spatio-Temporal Objects

“…In order to deal with the fuzziness and imprecision of spatio-temporal objects, several efforts have been made to model fuzzy spatio-temporal objects and their topological relationships, such as fuzzy set theory-based methods [15], [16], rough set theory-based method [17], point-set topology [13], motion-based approaches [14], [18], [19], and dimensional-extended method [20], [21].…”

“…Temporal changes of fuzzy line and fuzzy region are missing. At the same time, in order to model fuzzy topological relationships between fuzzy spatio-temporal objects, some efficient approaches have been proposed, mainly including fuzzy set theory-based methods [15], [16], rough set theory-based method [17], point-set topology [13], motion-based approaches [14], [18], [19], and dimensional-extended method [20], [21]. For example, in [17], the authors propose a method to model spatio-temporal topological relationships based on rough set theory.…”