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Nonspecificity Degrees of Basic Probability Assignments
2001As we have already defined, in the case of a finite basic space S, basic probability assignment (BPA) on S is a probability distribution on the power-set P(S) (set of all subsets of S). In this chapter we shall define and investigate the nonspecificity degree of a BPA given by the normalized expected value of the size (cardinality) of subsets of S with
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A new method to determine basic probability assignment from training data
Knowledge-Based Systems, 2013The Dempster-Shafer evidence theory (D-S theory) is one of the primary tools for knowledge representation and uncertain reasoning, and has been widely used in many information fusion systems. However, how to determine the basic probability assignment (BPA), which is the main and first step in D-S theory, is still an open issue.
Peida Xu +3 more
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Modeling Weak Information with Generalized Basic Probability Assignments
1996Interval-probability reacts to the fact that often there is not enough information to assign a classical probability measure. One approach, the Dempster-Shafer theory, calculates belief-functions using so-called basic probability assignments, which prove, however, to be (formally) equivalent to a probability measure (on a different space). This article
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A new method to determine Basic Probability Assignment under fuzzy environment
2012 International Conference on Systems and Informatics (ICSAI2012), 2012Dempster Shafer theory of evidence has been widely used in many data fusion application systems. However, how to determine Basic Probability Assignment (BPA), which is the main and the first step in evidence theory, is still an open issue. In the proposed method, species model can be constructed by determination of the min, average and max value to ...
Wen Jiang +3 more
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A new method to determine basic probability assignment using core samples
Knowledge-Based Systems, 2014The Dempster–Shafer theory of evidence (D–S theory) has been widely used in many information fusion systems. However, the determination of basic probability assignment (BPA) remains an open problem which can considerably influence final results. In this paper, a new method to determine BPA using core samples is proposed. Unlike most of existing methods
Chenwei Zhang +4 more
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Combining Basic Probability Assignments for Fuzzy Focal Elements
2008The Dempster-Shafer theory is convenient for implementation in models of medical diagnosis as it neglects dependence of symptoms. Yet, combination of two basic probability assignments that is defined in the theory is often criticized. The paper shows opportunities of combining that are created when the Dempster-Shafer theory is extended for fuzzy focal
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A non-parametric method to determine basic probability assignment for classification problems
Applied Intelligence, 2014As an important tool for knowledge representation and decision-making under uncertainty, Dempster-Shafer evidence theory (D-S theory) has been used in many fields. The application of D-S theory is critically dependent on the availability of the basic probability assignment (BPA). The determination of BPA is still an open issue.
Peida Xu +4 more
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Meausre divergence degree of basic probability assignment based on Deng relative entropy
2016 Chinese Control and Decision Conference (CCDC), 2016Dempster Shafer evidence theory (D-S theory) is more and more extensively applied to information fusion for the advantage dealing with uncertain information. However, the results opposite to common sense are often obtained when combining the different evidence using the Dempster's combination rules.
Liguo Fei, Yong Deng
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The maximum entropy negation of basic probability assignment
Soft Computing, 2023Ruijie Liu, Yong Deng, Zhen Li
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Multisource basic probability assignment fusion based on information quality
International Journal of Intelligent Systems, 2021Dingbin Li, Yong Deng, Kang Hao Cheong
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