A model of fuzzy spatio-temporal knowledge representation and reasoning based on high-level Petri nets

Ribarić, Slobodan; Hrkać, Tomislav

doi:10.1016/j.is.2011.09.010

Cited by 33 publications

(24 citation statements)

References 24 publications

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“…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].…”

Section: Fuzzy Spatio-temporal Objects and Their Topological Relationmentioning

confidence: 99%

“…There are several efforts to model spatio-temporal objects using fuzzy set theory [15], [16]. Pfoser and Jensen [15] represent a moving point object by using fuzzy techniques.…”

Section: Fuzzy Spatio-temporal Objects and Their Topological Relationmentioning

confidence: 99%

“…For example, the positions of a point object at a certain time or the positions of in-between point objects in time are imprecise. In [16], the authors model the fuzzy spatial and temporal information by using triangular fuzzy numbers, and obtain a total of 117 spatio-temporal relationships based on the combination of 13 temporal relationships and 9 spatial relationships. However, the described approaches only operate on fuzzy point objects and do not take fuzzy line and fuzzy region into account.…”

Section: Fuzzy Spatio-temporal Objects and Their Topological Relationmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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Modeling Topological Relationships between Fuzzy Spatio-Temporal Objects

Cheng

Zhang

2016

CIT. J. comput. inf. technol

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Topological relationships between spatio-temporal objects are the most fundamental elements in spatio-temporal database systems, GIS, and image database systems. The research issue of modeling topological relationships has increasingly attracted attention, especially for querying of spatio-temporal objects and reasoning of topological relationships. Currently, topological relationship operating on spatio-temporal objects with precisely defined boundaries has been well studied. However, in the real world, spatio-temporal objects are not always crisp but with the nature of fuzziness and imprecision. Therefore, how to model topological relationship between fuzzy spatio-temporal objects is a significant topic and needs more investigations. This paper presents a study on modeling topological relationships between fuzzy spatio-temporal objects. Firstly, we give a model of fuzzy spatio-temporal objects in three-dimensional space and define those objects as moving fuzzy points, moving fuzzy lines, and moving fuzzy regions. On this basis, we propose a model for identifying basic topological relations between fuzzy spatio-temporal objects. Furthermore, in order to describe the evolution of basic topological relations over time, we give a model of complex topological relationships which are the sequences of basic relationships. The benefit of this model is that the complex topological relationships can be used as fuzzy spatio-temporal query operators in query languages. Finally, we provide some query examples to demonstrate fuzzy spatio-temporal queries in spatio-temporal database. ACM CCS (2012) Classification

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Section: Fuzzy Spatio-temporal Objects and Their Topological Relationmentioning

confidence: 99%

“…There are several efforts to model spatio-temporal objects using fuzzy set theory [15], [16]. Pfoser and Jensen [15] represent a moving point object by using fuzzy techniques.…”

Section: Fuzzy Spatio-temporal Objects and Their Topological Relationmentioning

confidence: 99%

Section: Fuzzy Spatio-temporal Objects and Their Topological Relationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling Topological Relationships between Fuzzy Spatio-Temporal Objects

Cheng

Zhang

2016

CIT. J. comput. inf. technol

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“…The traditional GIS system of less precision of time, most are in units of years or months, such as pipeline system, geological features system etc [4][5][6]. In this case, adding the time information to the index structure node [7], or creating overlap index structure all can create the user needs to complete the operation [8].…”

Section: Introductionmentioning

confidence: 99%

On Researching the Vehicle Monitoring Platform Based on Spatio-Temporal Indexing Mechanism

Zhan

Liang

2013

Int. J. Onl. Eng.

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A Fuzzy Reasoning Model for Action and Change in Timed Domains

Zhang

Luo

Shen

2013

Int. J. Intell. Syst.

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This paper proposes a fuzzy approach for reasoning about action and change in timed domains. In our method, actions and world states are modeled as fuzzy sets over time axis. Thus, their temporal relations and time constraints can be modeled as fuzzy rules. So, our method handles well the issue that action happens at an approximate time and then the states also change at an approximate time, which has not been solved well in the existing work. Finally, our method is used to solve the classic problem of rail‐road crossing control in a fuzzy environment. The theoretical and simulation analysis shows that the controller using our method works well.

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A model of fuzzy spatio-temporal knowledge representation and reasoning based on high-level Petri nets

Cited by 33 publications

References 24 publications

Modeling Topological Relationships between Fuzzy Spatio-Temporal Objects

Modeling Topological Relationships between Fuzzy Spatio-Temporal Objects

On Researching the Vehicle Monitoring Platform Based on Spatio-Temporal Indexing Mechanism

A Fuzzy Reasoning Model for Action and Change in Timed Domains

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