Papers by Albena Tchamova
In this chapter we analyze the performances of a new
probabilistic belief transformation, denoted... more In this chapter we analyze the performances of a new
probabilistic belief transformation, denoted DSmP, for the sequential estimation of target ID from classifier outputs in the Target Type Tracking problem (TTT).
This small chapter presents an approach providing fast
reduction of total ignorance in the proces... more This small chapter presents an approach providing fast
reduction of total ignorance in the process of target identification. It utilizes the recently defined fusion rule based on fuzzy T-conorm/Tnorm operators, as well as all the available information from the adjoint sensor and additional information obtained from the a priori
defined objective and subjective considerations, concerning relationships between the attribute components at different levels of abstraction.
This chapter presents a new approach for solving the
paradoxical Blackman’s association problem. ... more This chapter presents a new approach for solving the
paradoxical Blackman’s association problem. It utilizes a new class of fusion rules based on fuzzy T-conorm/T-norm operators together with Dezert-Smarandache theory and the relative variations of generalized
pignistic probabilities measure of correct associations defined from a partial ordering function of hyper-power set.
Abstract⎯This paper presents a new approach for solving the paradoxical Blackman's Association Pr... more Abstract⎯This paper presents a new approach for solving the paradoxical Blackman's Association Problem. It utilizes the recently defined new class fusion rule based on fuzzy Tconorm/T-norm operators together with Dezert-Smarandache theory based, relative variations of generalized pignistic probabilities measure of correct associations, defined from a partial ordering function of hyper-power set. The ability of this approach to solve the problem against the classical Dempster-Shafer's method, proposed in the literature is proven. It is shown that the approach improves the separation power of the decision process for this association problem.
We challenge the validity of Dempster-Shafer Theory by using an emblematic example to show that D... more We challenge the validity of Dempster-Shafer Theory by using an emblematic example to show that DS rule produces counter-intuitive result. Further analysis reveals that the result comes from a understanding of evidence pooling which goes against the common expectation of this process. Although DS theory has attracted some interest of the scientific community working in information fusion and artificial intelligence, its validity to solve practical problems is problematic, because it is not applicable to evidences combination in general, but only to a certain type situations which still need to be clearly identified.
In this paper we analyze the performances of a new probabilistic belief transformation, denoted D... more In this paper we analyze the performances of a new probabilistic belief transformation, denoted DSmP, for the sequential estimation of target ID from classifier outputs in the Target Type Tracking problem (TTT). We complicate here a bit the TTT problem by considering three types of targets (Interceptor, Fighter and Cargo) and show through Monte-Carlo simulations the advantages of DSmP over the classical pignistic transformation which is classically used for decision-making under uncertainty when dealing with belief assignments. Based on our previous works for the justification of rules of combination for TTT problem, only the Proportional Conflict Redistribution rule and the hybrid fusion rules are considered in this work for their ability to deal consistently with high conflicting sources of evidence with three different belief assignment modelings.
The objective of this study is to present two multitarget tracking applications based on Dezert-S... more The objective of this study is to present two multitarget tracking applications based on Dezert-Smarandache Theory (DSmT) for plausible and paradoxical reasoning: (1) Target Tracking in Cluttered Environment with Generalized Data Association incorporating the advanced concept of generalized data (kinematics and attribute) association to improve track maintenance performance in complicated situations (closely spaced and/or crossing targets), when kinematics data are insufficient for correct decision making.; (2) Estimation of Target Behavior Tendencies -it is developed on the principles of DSmT applied to conventional passive radar amplitude measurements, which serve as an evidence for corresponding decision-making procedures. The aim 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.
In this paper we present simple examples showing the insensitivity of Dempster's rule of combinat... more In this paper we present simple examples showing the insensitivity of Dempster's rule of combination proposed in Dempster-Shafer Theory (DST) of evidence with respect to the level of conflict between two sources of evidences. Aside famous Zadeh's example on the validity of Dempster's rule of combination, it is shown that for an infinite number of cases Dempster's rule does not respond adequately to combine sources of evidence even when the level of conflict between sources is low. For a comparison purpose, we present the solution obtained by the more efficient PCR5 fusion rule proposed originally in Dezert-Smarandache Theory (DSmT) framework.
In this paper we present an analysis of the use of Dempster's rule of combination, its consistenc... more In this paper we present an analysis of the use of Dempster's rule of combination, its consistency with the probability calculus and its usefulness for combining sources of evidence expressed by belief functions in the framework of the Mathematical Theory of Evidence, known also as Dempster-Shafer Theory (DST), or as the classical theory of belief functions.
Lecture Notes in Computer Science, 2003
The objective of this paper is to present an approach for targets’ behaviour tendency estimation.... more The objective of this paper is to present an approach for targets’ behaviour tendency estimation. An algorithm for target behaviour tracking is developed and evaluated. It is based on Fuzzy Logic principles applied to conventional passive radar amplitude measurements. A set of fuzzy models is used to describe the tendencies of target behaviour. A noise reduction procedure is applied. The
In this paper, we propose a real experiment for building and realizing the physical combination o... more In this paper, we propose a real experiment for building and realizing the physical combination of basic belief assignments associated with two independent, informative, and equireliable sources of information, according to the famous Zadeh's example. This experiment is based on a particular electronic circuit box, called Z-box, enabling to observe and to check the fusion result experimentally. Our experimental results clearly invalidate the fusion result obtained by Dempster-Shafer's rule of combination and show that it is physically possible to consider in a natural fusion process two independent and equi-reliable sources of evidences at same time, even if they appear as highly conflicting in Shafer's sense.
Sixth International Conference of Information Fusion, 2003. Proceedings of the, 2003
Modern multitarget-multisensor tracking systems involve the development of reliable methods for t... more Modern multitarget-multisensor tracking systems involve the development of reliable methods for the data association and the fusion of multiple sensor information, and more specifically the partioning of observations into tracks. This paper discusses and compares the application of Dempster-Shafer Theory (DST) and the Dezert-Smarandache Theory (DSmT) methods to the fusion of multiple sensor attributes for target identification purpose. We focus our attention on the paradoxical Blackman's association problem and propose several approaches to outperfom Blackman's solution. We clarify some preconceived ideas about the use of degree of conflict between sources as potential criterion for partitioning evidences.
Sixth International Conference of Information Fusion, 2003. Proceedings of the, 2003
This paper presents an approach for target behavior tendency estimation (Receding, Approaching). ... more This paper presents an approach for target behavior tendency estimation (Receding, Approaching). It is developed on the principles of Dezert-Smarandache 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.
In this paper, we analyze Bayes fusion rule in details from a fusion standpoint, as well as the e... more In this paper, we analyze Bayes fusion rule in details from a fusion standpoint, as well as the emblematic Dempster’s rule of combination introduced by Shafer in his Mathematical Theory of evidence based on belief functions. We propose a new interesting formulation of Bayes rule and point out some of its properties. A deep analysis of the compatibility of Dempster’s fusion rule with Bayes fusion rule is done. We show that Dempster’s rule is compatible with Bayes fusion rule only in the very particular case where the basic belief assignments (bba’s) to combine are Bayesian, and when the prior information is modeled either by a uniform probability measure, or by a vacuous bba. We show clearly that Dempster’s rule becomes incompatible with Bayes rule in the more general case where the prior is truly informative (not uniform, nor vacuous). Consequently, this paper proves that Dempster’s rule is not a generalization of Bayes fusion rule.
In this paper, we provide a deep examination of the main bases of Subjective Logic (SL) and revea... more In this paper, we provide a deep examination of the main bases of Subjective Logic (SL) and reveal serious problems with them. A new interesting alternative way for building a normal coarsened basic belief assignment from a refined one is also proposed. The defects in the SL fusion rule and the problems in the link between opinion and Beta probability density functions are also analyzed. Some numerical examples and related analyses are provided to justify our viewpoints.
The objective of this paper is to present an approach for target tracking, which incorporates the... more The objective of this paper is to present an approach for target tracking, which incorporates the advanced conce pt of generalized data (kinematics and attribute) association t o improve track maintenance performance in complicated situations ( closely spaced targets), when kinematics data are insufficient for c orrect decision making. It uses Global Nearest Neighbour-like app roach and Munkres algorithm to
2005 7th International Conference on Information Fusion, 2005
In this paper, we present and compare different fusion rules which can be used for Generalized Da... more In this paper, we present and compare different fusion rules which can be used for Generalized Data Association (GDA) for multitarget tracking (MIT) in clutter. Most of tracking methods including Target Identification (ID) or attribute information are based on classical tracking algorithms as PDAF, JPDAF, MHT, IMM, etc and either on the Bayesian estimation and prediction of target ID, or on fusion of target class belief assignments through the Demspter-Shafer Theory (DST) and Dempster's rule ofcombination. In this paper we pursue ourprevious works on the development of a new GDA-M7T based on Dezert-Smarandache Theory (DSmT) but compare also it with standard fusion rules (Demspter's, Dubois & Prade's, Yager's) and with a new fusion Proportional Conflict Redistribution (PCR) rule in order to assess the efficiency of all these differentfusion rules for this GDA-MTT in highly conflicting situation. This evaluation is based on a Monte Carlo simulation for a difficult maneuvering MI1 problem in clutter similar to the example recently proposed by Bar-Shalom, Kirubarajan and Gokberk.
Information & Security: An International Journal, 2006
A new combination rule based on specified fuzzy T-Conorm/T-Norm operators is proposed and analyze... more A new combination rule based on specified fuzzy T-Conorm/T-Norm operators is proposed and analyzed in this article -the TCN Rule of Combination. The rule does not belong to the general Weighted Operator Class. The advantages of the new rule could be defined as: very easy to implement, satisfying the impact of neutrality of Vacuous Belief Assignment, commutative, convergent to idempotence, reflecting majority opinion, and assuring an adequate data processing in case of total conflict. Several numerical examples and comparisons with the new advanced Proportional Conflict Redistribution Rules proposed recently by Florentin Smarandache and Jean Dezert within their theory of plausible and paradoxical reasoning are presented.
2013 IEEE INISTA, 2013
In this paper, we analyze Bayes fusion rule in details from a fusion standpoint, as well as the e... more In this paper, we analyze Bayes fusion rule in details from a fusion standpoint, as well as the emblematic Dempster's rule of combination introduced by Shafer in his Mathematical Theory of evidence based on belief functions. We propose a new interesting formulation of Bayes rule and point out some of its
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Papers by Albena Tchamova
probabilistic belief transformation, denoted DSmP, for the sequential estimation of target ID from classifier outputs in the Target Type Tracking problem (TTT).
reduction of total ignorance in the process of target identification. It utilizes the recently defined fusion rule based on fuzzy T-conorm/Tnorm operators, as well as all the available information from the adjoint sensor and additional information obtained from the a priori
defined objective and subjective considerations, concerning relationships between the attribute components at different levels of abstraction.
paradoxical Blackman’s association problem. It utilizes a new class of fusion rules based on fuzzy T-conorm/T-norm operators together with Dezert-Smarandache theory and the relative variations of generalized
pignistic probabilities measure of correct associations defined from a partial ordering function of hyper-power set.
probabilistic belief transformation, denoted DSmP, for the sequential estimation of target ID from classifier outputs in the Target Type Tracking problem (TTT).
reduction of total ignorance in the process of target identification. It utilizes the recently defined fusion rule based on fuzzy T-conorm/Tnorm operators, as well as all the available information from the adjoint sensor and additional information obtained from the a priori
defined objective and subjective considerations, concerning relationships between the attribute components at different levels of abstraction.
paradoxical Blackman’s association problem. It utilizes a new class of fusion rules based on fuzzy T-conorm/T-norm operators together with Dezert-Smarandache theory and the relative variations of generalized
pignistic probabilities measure of correct associations defined from a partial ordering function of hyper-power set.