Partial ordering of hyper-powersets and matrix representation of belief functions within DSmT

Dezert, Jean; Smarandache, Florentín

doi:10.1109/icif.2003.177378

Cited by 11 publications

(7 citation statements)

References 10 publications

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“…The Pioneer II mobile robot that we use in experiments has 16 sonar sensors. (8) Robot's structure is shown as Fig. 6 and the distribution of sonar sensors is shown as Fig.…”

Section: Experimental Results and Analysismentioning

confidence: 99%

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Multiple Mobile Robots Map Building Based on DSmT

Huang

Wang

et al. 2008

2008 IEEE Conference on Robotics, Automation and Mechatronics

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In this paper, a new multi-robot system framework is introduced to solve the problem of multi-robot map building. Compared with the classical architectures introduced in the literature, this kind of framework enhances overall system performance, especially in reducing calculations and communications, improving real-time performance. Meanwhile a general basic belief assignment function (gbbaf) is constructed to deal with the uncertain and imprecise information obtained by sonar sensors with the application of new information fusion method DSmT (Dezert and Smarandache Theory) in the system and consideration of characteristics of sonar sensors. At last, Pioneer II mobile robots are used to carry out experiments of map building for both single-robot system and multi-robot system. The comparison of created ichnography with the real map testified the validity of DSmT and efficiency of multi-robot system for fusing imprecise information and map building proposed by this research.

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“…The Pioneer II mobile robot that we use in experiments has 16 sonar sensors. (8) Robot's structure is shown as Fig. 6 and the distribution of sonar sensors is shown as Fig.…”

Section: Experimental Results and Analysismentioning

confidence: 99%

“…To solve mentioned difficulties, a brand new multi-robots system framework is constructed with the advanced information fusion method DSmT [6][7][8]. This framework is fully applicable to the exploration of multi-robots and map building with the improvement of system function and lessen of mass communication and calculation.…”

Section: Introductionmentioning

confidence: 99%

Multiple Mobile Robots Map Building Based on DSmT

Huang

Wang

et al. 2008

2008 IEEE Conference on Robotics, Automation and Mechatronics

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“…where C M f (X) denotes the DSm cardinal of proposition X for the free-DSm model M f of the problem under consideration here [6]. The decision criterion for the estimation of correct model M is then based on the evolution of the Pignistic entropies, associated with updated amplitude states:…”

Section: Decision Criterionmentioning

confidence: 99%

Estimation of target behavior tendencies using dezert-smarandache theory

Tchamova

Semerdjiev²,

Dezert³

2003

Sixth International Conference of Information Fusion, 2003. Proceedings of The

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-This paper presents an approach for target behavior tendency estimation (Receding, Approaching). It is developed on the principles of DezertSmarandache theory (DSmT) of plausible and paradoxical reasoning applied to conventional sonar amplitude measurements, which serve as an evidence for corresponding decision-making procedures. In some real world situations it is difficult to finalize these procedures, because of discrepancies in measurements interpretation. In these cases the decision-making process leads to conflicts, which cannot be resolved using the well-known methods. The aim of the performed study is to present and to approve the ability of DSmT to finalize successfully the decision-making process and to assure awareness about the tendencies of target behavior in case of discrepancies in measurements interpretation. An example is provided to illustrate the benefit of the proposed approach application in comparison of fuzzy logic approach, and its ability to improve the overall tracking performance.

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“…Thus, this equation indicates that if the union of objects is also a constraint, then the mass is either assigned to the union of all the singletons that form the objects, or to total ignorance. Equation (8) indicates that the mass is attributed to the union of all the objects of the sets X i , if the intersection is a constraint.…”

Section: Principle and Formalism Of Dsmtmentioning

confidence: 99%

Modeling and Characterization of Vegetation, Aquatic and Mineral Surfaces Using the Theory of Plausible and Paradoxical Reasoning from Satellite Images: Case of the Toumodi-Yamoussoukro-Tiébissou Zone in V Baoulé (Côte d’Ivoire)

Okaingni¹,

Ouattara²,

Kouassi³

et al. 2017

OJAppS

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In this paper, the theory of plausible and paradoxical reasoning of DezertSmarandache (DSmT) is used to take into account the paradoxical character through the intersections of vegetation, aquatic and mineral surfaces. In order to do this, we developed a classification model of pixels by aggregating information using the DSmT theory based on the PCR5 rule using the NDVI, MNDWI and NDBaI spectral indices obtained from the ASTER satellite images. On the qualitative level, the model produced three simple classes for certain knowledge (E, V, M) and eight composite classes including two union classes characterizing partial ignorance ({E,V}, {M,V}) and six classes of intersection of which three classes of simple intersection (E∩V, M∩V, E∩M) and three classes of composite intersection (E∩{M,V}, M∩{E,V}, V∩{E,M}), which represent paradoxes. This model was validated with an average rate of 93.34% for the well-classified pixels and a compliance rate of the entities in the field of 96.37%. Thus, the model 1 retained provides 84.98% for the simple classes against 15.02% for the composite classes.

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Partial ordering of hyper-powersets and matrix representation of belief functions within DSmT

Cited by 11 publications

References 10 publications

Multiple Mobile Robots Map Building Based on DSmT

Multiple Mobile Robots Map Building Based on DSmT

Estimation of target behavior tendencies using dezert-smarandache theory

Modeling and Characterization of Vegetation, Aquatic and Mineral Surfaces Using the Theory of Plausible and Paradoxical Reasoning from Satellite Images: Case of the Toumodi-Yamoussoukro-Tiébissou Zone in V Baoulé (Côte d’Ivoire)

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Partial ordering of hyper-powersets and matrix representation of belief functions within DSmT

Cited by 11 publications

References 10 publications

Multiple Mobile Robots Map Building Based on DSmT

Multiple Mobile Robots Map Building Based on DSmT

Estimation of target behavior tendencies using dezert-smarandache theory

Modeling and Characterization of Vegetation, Aquatic and Mineral Surfaces Using the Theory of Plausible and Paradoxical Reasoning from Satellite Images: Case of the Toumodi-Yamoussoukro-Ti&#233;bissou Zone in V Baoul&#233; (C&#244;te d’Ivoire)

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Product

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About

Modeling and Characterization of Vegetation, Aquatic and Mineral Surfaces Using the Theory of Plausible and Paradoxical Reasoning from Satellite Images: Case of the Toumodi-Yamoussoukro-Tiébissou Zone in V Baoulé (Côte d’Ivoire)