The Experts below are selected from a list of 39654 Experts worldwide ranked by ideXlab platform
Michael Oberguggenberger - One of the best experts on this subject based on the ideXlab platform.
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propagation of uncertainty through multivariate functions in the framework of sets of probability measures
Reliability Engineering & System Safety, 2004Co-Authors: Thomas Fetz, Michael OberguggenbergerAbstract:Abstract This paper proposes a solution to Challenge Problem 1 posed by Oberkampf et al. [Reliab. Engng Syst. Safety (this issue)] and focuses on questions of dependence or independence of variables. The specification of uncertainties is consistently reduced to sets of probability measures. For whatever interpretation, the results essentially depend on the choice of Combination Rule in defining the joint distributions. The approach adopted here is shown to be consistent with interval analysis, random sets and fuzzy sets, and admits a clear description of the influence of the concept of independence used. A MATLAB-tool has been developed that allows to compute the lower and upper probability distributions for all choices of framework and Combination Rule.
Wenli Li - One of the best experts on this subject based on the ideXlab platform.
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Combination Rule of d s evidence theory based on the strategy of cross merging between evidences
Expert Systems With Applications, 2011Co-Authors: Wenli LiAbstract:Recent studies on the Combination Rule of D-S evidence theory can be summarized as two categories, i.e. the methods based on modification for Dempster Rule, and the methods based on correction to original evidence sources. However, both of them fail to deal with the role of cardinality of focal elements in process of Combination, leading generally to the imperfect final results which are hard to show the inherent differences between different bodies of evidence. In this paper, we propose a Combination Rule based on the strategy of cross merging between evidences, a newly developed methodology which can better reflect the focusing degree of focal elements between bodies of evidence, and make final Combination results more succinct, reasonable and valid. Throughout the process of Combination, such global information as reliability, focusing weights, and expected support of evidences is thoroughly taken into account. In addition, an effort is made to allocate evidential conflict in proportion only among Combination propositions in order to refine Combination results and reduce their decision range. A numerical example and its modified version demonstrate that the presented approach has good adaptability to the evidences in accord or with high conflict, and significantly outperforms other Combination methods of a similar kind.
Bo Zhang - One of the best experts on this subject based on the ideXlab platform.
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herb network construction and co module analysis for uncovering the Combination Rule of traditional chinese herbal formulae
BMC Bioinformatics, 2010Co-Authors: Bo Zhang, Duo Jiang, Yingying Wei, Ningbo ZhangAbstract:Background Traditional Chinese Medicine (TCM) is characterized by the wide use of herbal formulae, which are capable of systematically treating diseases determined by interactions among various herbs. However, the Combination Rule of TCM herbal formulae remains a mystery due to the lack of appropriate methods.
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Dempster-Shafer Combination Rule induced by multivalued mapping
Signal Processing Sensor Fusion and Target Recognition XI, 2002Co-Authors: Hongyan Sun, Fatemah Majdi, M. Farooq, Bo ZhangAbstract:Based on a multi-valued mapping from a probability space (X,(Omega) ,Rmu) to space S, a probability measure over a class 2s of subsets of S is defined. Then using the product Combination Rule of multiple information sources, the Dempster-Shafer Combination Rule is derived. The investigation of the two Rules indicates that the Dempster Rule and the Dempster-Shafer Combination Rule are for different spaces. Some problems of the Dempster-Shafer Combination Rule are interpreted via the product Combination Rule that is used for multiple independent information sources. A technique to improve the method is proposed. Finally, an error in multi-valued mappings in [20] is pointed out and proved.© (2002) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Annelaure Jousselme - One of the best experts on this subject based on the ideXlab platform.
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adaptative Combination Rule and proportional conflict redistribution Rule for information fusion
arXiv: Artificial Intelligence, 2006Co-Authors: Mihai Cristian Florea, Jean Dezert, Pierre Valin, Florentin Smarandache, Annelaure JousselmeAbstract:This paper presents two new promising Rules of Combination for the fusion of uncertain and potentially highly conflicting sources of evidences in the framework of the theory of belief functions in order to palliate the well-know limitations of Dempster's Rule and to work beyond the limits of applicability of the Dempster-Shafer theory. We present both a new class of adaptive Combination Rules (ACR) and a new efficient Proportional Conflict Redistribution (PCR) Rule allowing to deal with highly conflicting sources for static and dynamic fusion applications.
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adaptative Combination Rule and proportional conflict redistribution Rule for information fusion
viXra, 2006Co-Authors: Mihai Cristian Florea, Jean Dezert, Pierre Valin, Florentin Smarandache, Annelaure JousselmeAbstract:This paper presents two new promising combina- tion Rules for the fusion of uncertain and potentially highl y conflicting sources of evidences in the theory of belief func - tions established first in Dempster-Shafer Theory (DST) and then recently extended in Dezert-Smarandache Theory (DSmT). Our work is to provide here new issues to palliate the well-known limitations of Dempster's Rule and to work beyond its limits of applicability. Since the famous Zadeh' s criticism of Dempster's Rule in 1979, many researchers have proposed new interesting alternative Rules of Combination to palliate the weakness of Dempster's Rule in order to provide acceptable results specially in highly conflicting situati ons. In this work, we present two new Combination Rules: the class of Adaptive Combination Rules (ACR) and a new effi- cient Proportional Conflict Redistribution (PCR) Rule. Bot h Rules allow to deal with highly conflicting sources for stati c and dynamic fusion applications. We present some inter- esting properties for ACR and PCR Rules and discuss some simulation results obtained with both Rules for Zadeh's pro b- lem and for a target identification problem.
Thomas Fetz - One of the best experts on this subject based on the ideXlab platform.
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propagation of uncertainty through multivariate functions in the framework of sets of probability measures
Reliability Engineering & System Safety, 2004Co-Authors: Thomas Fetz, Michael OberguggenbergerAbstract:Abstract This paper proposes a solution to Challenge Problem 1 posed by Oberkampf et al. [Reliab. Engng Syst. Safety (this issue)] and focuses on questions of dependence or independence of variables. The specification of uncertainties is consistently reduced to sets of probability measures. For whatever interpretation, the results essentially depend on the choice of Combination Rule in defining the joint distributions. The approach adopted here is shown to be consistent with interval analysis, random sets and fuzzy sets, and admits a clear description of the influence of the concept of independence used. A MATLAB-tool has been developed that allows to compute the lower and upper probability distributions for all choices of framework and Combination Rule.