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Book Review: A Mathematical Theory of Evidence

Lotfi A. Zadeh
1984 The AI Magazine  
Although not easy to understand, Shafer's book contains a wealth of significant results, and is a must for anyone who wants to do serious research on problems relating to the rules of combination of evidence  ...  Then, according to the Dempster rule of combination of evidence, this combined collection may be treated as a single collection in which the weight associated with Li n Mj is the product w;j = wiwj.  ...  S Michalski, University of Illinois "The most complete and practical guide to LISP yet" -Charles R Dyer, University of Wisconsin, Madison For more information visit our booth or write to us at the address  ... 
dblp:journals/aim/Zadeh84 fatcat:yd44mvvtjvaaxd2bwbg76yc72e

Multi-ultrasonic sensor fusion for autonomous mobile robots

Zou Yi, Yeong K. Ho, Chin Seng Chua, Xiao Wei Zhou, Belur V. Dasarathy
2000 Sensor Fusion: Architectures, Algorithms, and Applications IV  
Dempster's rule of combination is used to fuse the sensor data to obtain the map defined on a 2D evidence grid.  ...  In this paper, we examine the application of evidential method for data integration using the specially designed sensor model to overcome the problem.  ...  Dempster-Shafer's evidence theory has advantages over Bayesian theory in this aspect since it is able to provide evidence for both singletons and subsets so it can clearly distinguish between ignorance  ... 
doi:10.1117/12.381644 fatcat:lnr62fuo5fc2dpu6tc2d7iqwna

The combination of belief: When and how fast?

Nic wilson
1992 International Journal of Approximate Reasoning  
The cornerstone of Dempster-Shafer therory is Dempster's rule and to use the theory it is essential to know when the rule is justified. This paper discusses, and attempts to clarify, this issue.  ...  A Monte-Carlo algorithm is described which can be used to greatly improve the complexity of the calculation of combined belief.  ...  ACKNOWLEDGMENTS Thanks to Mike Clarke, Serai]n Moral, Judea Pearl, and Philippe Smets for many useful and enjoyable discussions. Combination of Belief: When and How Fast?  ... 
doi:10.1016/0888-613x(92)90031-t fatcat:y54db5amq5h6bjto3ljnq4kna4

Belief Logic Programming: Uncertainty Reasoning with Correlation of Evidence [chapter]

Hui Wan, Michael Kifer
2009 Lecture Notes in Computer Science  
BLP has non-monotonic semantics based on the concepts of belief combination functions and is inspired by Dempster-Shafer theory of evidence.  ...  Belief Logic Programming (BLP) is a novel form of quantitative logic programming in the presence of uncertain and inconsistent information, which was designed to be able to combine and correlate evidence  ...  Relationship to Dempster-Shafer theory of evidence. We now relate our semantics to Dempster-Shafer theory.  ... 
doi:10.1007/978-3-642-04238-6_27 fatcat:xul6tfohdffsfi2tg5jmtampxa

On The Validity Of Dempster-Shafer Theory

Jean Dezert, Pei Wang, Albena Tchamova
2015 Zenodo  
We challenge the validity of Dempster-Shafer Theory by using an emblematic example to show that DS rule produces counter-intuitive result.  ...  is not applicable to evidences combination in general, but only to a certain type situations which still need to be clearly identified.  ...  Before going further in our discussion, let us recall two of Shafer's statements about DST: The burden of our theory is that this rule [Dempster's rule of combination] corresponds to the pooling of evidence  ... 
doi:10.5281/zenodo.22668 fatcat:ygzqv7pmzzhw7lknbjizncmaxq

MODELLING VAGUE KNOWLEDGE FOR DECISION SUPPORT IN PLANNING ARCHAEOLOGICAL PROSPECTIONS

S. Boos, S. Hornung, H. Müller
2012 ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
We analyzed an area of 50 km² in Rhineland Palatinate (Germany) near a Celtic oppidum by use of Dempster-Shafer's theory of evidence for predicting spatial probability distribution of archaeological sites  ...  One possibility to cope with such uncertainties is utilization of probability based approaches like Bayes Theorem or Dempster-Shafer-Theory.  ...  Dempster-Shafer's Theory of Uncertainty The Dempster-Shafer theory (Dempster, 1968 , Shafer, 1976 ) is a mathematical theory, which uses evidences instead of probabilities for modelling uncertainty.  ... 
doi:10.5194/isprsannals-i-2-189-2012 fatcat:6ymm4exi6fbu5puyalunhtimdi

Basic Formal Properties of A Relational Model of The Mathematical Theory of Evidence [article]

Mieczysław A. Kłopotek, Sławomir T. Wierzchoń
2017 arXiv   pre-print
It is demonstrated that under the interpretation The Dempster rule of evidence combination corresponds to the join operator of the relational database theory.  ...  We demonstrated this property for Dempster rule of combination, marginalization, Shafer's conditioning, independent variables, Shenoy's notion of conditional independence of variables.  ...  The complexity of combination of evidence according to the Dempster rule in [23] gave an impulse for search of a simpler way to accomplish it.  ... 
arXiv:1704.02468v1 fatcat:sy2gl6i3q5gp5lxkwtbnrxgfo4

A mobility prediction architecture based on contextual knowledge and spatial conceptual maps

N. Samaan, A. Karmouch
2005 IEEE Transactions on Mobile Computing  
These groups are then refined to predict the user's future location when evidence accumulates using the Dempster rule of combination.  ...  Using concepts of evidential reasoning of Dempster-Shafer's theory, the user's navigation behavior is captured by gathering pieces of evidence concerning different groups of candidate future locations.  ...  Evidence Combination Dempster-Shafer's theory provides a means for combining beliefs from distinct sources, known as the Dempster-Shafer rule of combination.  ... 
doi:10.1109/tmc.2005.74 fatcat:sie67yufhzcw3oxe6twsnakhlq

Using Dempster-Shafer's Evidence Theory for Query Expansion Based on Freebase Knowledge [chapter]

Dazhao Pan, Peng Zhang, Jingfei Li, Dawei Song, Ji-Rong Wen, Yuexian Hou, Bin Hu, Yuan Jia, Anne De Roeck
2013 Lecture Notes in Computer Science  
We propose a novel method, based on the well-principled Dempster-Shafer's (D-S) evidence theory, to measure the certainty of expansion terms from the Freebase structure.  ...  The expanded query model is then combined with a state of the art statistical query expansion model -the Relevance Model (RM3).  ...  Then it is key to fuse the relevant information from different aspects. In this paper, we propose to solve the fusion problem by using the Dempster-Shafer's (D-S) evidence theory [23] .  ... 
doi:10.1007/978-3-642-45068-6_11 fatcat:o7v6i2pllvgz5fhk6gjj356kfa

Special topic: Selected fine papers of the 2nd Conference on Multi-Source Imperfect Information Fusion and its Application

2009 Journal of Electronics (China)  
The Dempster-Shafer's theory is an effective tool for dealing with uncertain information.  ...  The multi-source information can be defined and modelled by one of the fuzzy set theory, rough set theory, Bayes reasoning, Dempster-Shafer evidence theory, possibility theory and conditional event algebra  ... 
doi:10.1007/s11767-009-1003-5 fatcat:wadwk25qfncwhn6jet5dp75trm

Unified approach to the fusion of imperfect data?

Mihai C. Florea, Anne-Laure Jousselme, Dominic Grenier, Eloi Bosse, Belur V. Dasarathy
2002 Sensor Fusion: Architectures, Algorithms, and Applications VI  
In this paper, we first introduce the various kinds of imperfect data and then the theories that can be used to cope with the imperfection.  ...  So, depending on the quality of the available information (uncertain, vague, imprecise, ...), one particular theory seems to be the preferred choice for fusion.  ...  ACKNOWLEDGMENTS We thank the Defence Research Establishment of Valcartier for the financial and technical support during the course of this work.  ... 
doi:10.1117/12.458372 fatcat:vu5arzcf5zd57kwi7t2jtzzeme

Overview of Dempster-Shafer and belief function tracking methods

Erik Blasch, Jean Dezert, B. Pannetier, Ivan Kadar
2013 Signal Processing, Sensor Fusion, and Target Recognition XXII  
One example of set-based methods is the use of Dempster-Shafer (DS) techniques to support belief-function (BF) tracking.  ...  In the paper, we overview two decades of research in the area of BF tracking and conclude with a comparative analysis of Bayesian, Dempster-Shafer, and the PCR5 methods.  ...  BASICS OF DEMPSTER-SHAFER (DST) THEORY The Dempster-Shafer (DS) theory of evidence was devised as a means of dealing with imprecise evidence [58, 59] and has been applied to target classification [60  ... 
doi:10.1117/12.2016326 fatcat:fnbyw6npdvfa3gdpoiymefjed4

A Belief Model of Query Difficulty That Uses Subjective Logic [chapter]

Christina Lioma, Roi Blanco, Raquel Mochales Palau, Marie-Francine Moens
2009 Lecture Notes in Computer Science  
This allows us to define a belief model and a set of operators for combining evidence of query difficulty.  ...  An application of this model with semantic and pragmatic evidence about 150 TREC queries illustrates the potential flexibility of this framework in expressing and combining evidence.  ...  Instead, Dempster-Shafer's belief theory suggests assigning a socalled belief mass to the whole event space.  ... 
doi:10.1007/978-3-642-04417-5_9 fatcat:5fttnwj6yncrjkdv2m3ux7ncea

Decision of Prognostics and Health management under Uncertainty

Hong feng Wang
2011 International Journal of Computer Applications  
Dempster-Shafer theory is adopted to tackle this problem and some modification about this method is made to accommodate with practice. The decision-making method and decision process are detailed.  ...  The decision making of Prognostics and Health management under uncertainty is addressed in this paper.  ...  Dempster-Shafer theory (DST) is a powerful theoretical tool which can be applied for the representation of incomplete knowledge, belief updating, and for combination of evidence through the Demspter-Shafer's  ... 
doi:10.5120/1772-2438 fatcat:dcxgn65s7fg5th6f5vllcepv7q

Features of the application of the dumpster-shafer theory when adopting management decisions in construction operations

Denis Pogodin, Konstantin Kuzmin, Yuri Shesterikov, A. Zheltenkov
2019 E3S Web of Conferences  
The article discusses the features of the application of the Dempster-Shafer theory in the management and planning of construction operations.  ...  An example of expert evaluation is given, the most possible reasons for the delay of construction and installation works with the aim of taking them into account when planning have been determined.  ...  An alternative approach is the Dempster-Shafer's Evidence theory.  ... 
doi:10.1051/e3sconf/20199108027 fatcat:fkumduemonhenjb4bniqyo7uqe
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