A modified belief entropy in Dempster-Shafer framework

Zhou, Deyun; Tang, Yongchuan; Jiang, Wen

doi:10.1371/journal.pone.0176832

Cited by 43 publications

(55 citation statements)

References 68 publications

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“…Also, this application indicates a promising application prospect of this new form of information quality. VOLUME 4, 2016 [75] 0.8119 0.1096 0.0526 0.0259 Yuan et al's method [76] 0.8948 0.0739 0.0241 0.0072 Zhou et al's method [68] 0.8951 0.0738 0.0240 0.0071 Proposed method 0.8996 0.0685 0.0245 0.0074…”

Section: Applicationmentioning

confidence: 99%

An Improved Expression for Information Quality of Basic Probability Assignment and Its Application in Fault Diagnosis

Li¹

2020

Preprint

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<div>Information quality is widely used in many applications. However, how to measure infor </div><div>mation quality in basic probability assignment accurately is still an open issue. Generalized expression for </div><div>information quality is an effective method to measure information quality in basic probability assignment. </div><div>Nevertheless, the counter-intuitive results may be obtained when statements are of intersection. To address </div><div>this issue, a new expression for information quality of basic probability assignment is proposed in this paper </div><div>considering the frame of discernment and the inflfluence of intersection among statements which can cause </div><div>changes of uncertainty. Numerical examples are illustrated to demonstrate the effectiveness of the proposed </div><div>method. In addition, an application in fault diagnosis is used to show the effectiveness of the proposed </div><div>method. </div>

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Section: Applicationmentioning

confidence: 99%

An Improved Expression for Information Quality of Basic Probability Assignment and Its Application in Fault Diagnosis

Li¹

2020

Preprint

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“…However, we are not interested in the entropy within a given variable or to integrate such a concept within the Dempster-Shafer theory underlying to our trust estimation approach, 15,45 but in the study of the entropy of the trust estimation with and without the scores of a given provider, so as to have a measure of its honesty or maliciousness and remove its score from the computation. However, we are not interested in the entropy within a given variable or to integrate such a concept within the Dempster-Shafer theory underlying to our trust estimation approach, 15,45 but in the study of the entropy of the trust estimation with and without the scores of a given provider, so as to have a measure of its honesty or maliciousness and remove its score from the computation.…”

Section: Entropy-based Detection Of False Scoresmentioning

confidence: 99%

“…and is characterized by a set of properties related to its continuity, symmetry, maximum, and additivity. However, we are not interested in the entropy within a given variable or to integrate such a concept within the Dempster-Shafer theory underlying to our trust estimation approach, 15,45 but in the study of the entropy of the trust estimation with and without the scores of a given provider, so as to have a measure of its honesty or maliciousness and remove its score from the computation. For this reason, rather than the classic Shannon entropy concept, we adopted the Kullback-Leibler…”

Section: Entropy-based Detection Of False Scoresmentioning

confidence: 99%

Information theoretic‐based detection and removal of slander and/or false‐praise attacks for robust trust management with Dempster‐Shafer combination of linguistic fuzzy terms

Esposito

Castiglione

Palmieri

2017

Concurrency and Computation

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Critical systems are progressively abandoning the traditional isolated and closed architectures, and adopting more federated solutions, in order to deal with orchestrated decision making within large-scale infrastructures. Such an increasing connectivity and the possibility of dynamically integrate constituents in a seamless manner by means of a decoupling middleware solution are causing the flouring of novel and previously unseen security threats, such as internal attacks conducted by camouflaged and/or compromised federated systems. Trust management is the most efficient way for dealing with such attacks, so that each constituent computes a trust degree of the other interacting ones based on the direct experiences and of collected reputation scores. An adversary may negatively affect the overall process with false reputations, which must not be considered when estimating a trust degree. Our work combines a multi-criteria linguistic fuzzy term formulation of the trust degree with the concept of entropy for measuring the divergence of certain scores from the other ones and to avoid to consider them during reputation aggregation. A set of experiments have been conducted in order to measure the quality and effectiveness of the presented approach. KEYWORDSDempster-Shafer theory, entropy, fuzzy sets, information theory, trust management INTRODUCTIONThe current most challenging ICT contexts is composed by the so-called System of Systems (SoS), 1 which consists in the realization of large-scale infrastructures as the federation of several systems, most of which already exist and need to be properly adapted so as to be interconnected. In such a vision, the federated systems are intended to team up in order to perform complex tasks from the composition of the operations and resources offered by the single systems. This is need in order to offer more functionalities, higher quality and efficiency than simply what is achievable by summing up what offered by the constituent systems. Despite the lacking of a standard definition of SoS and the availability in the current literature of around 40 different definitions, 2 several instances of SoS are available in the industrial practice, starting from the defense sector, where therehas been the first application of SoS, until other civil applications such as health information systems, critical infrastructure management, or the design of the Internet and cloud platforms (just to cite some of the main ones). All of those instances share a common architecture made of a federation middleware, typically complaint to the publish/subscribe service 3 for scalability and decoupling reasons, that seamlessly, autonomously, and dynamically let heterogeneous systems to be joined and integrated according to a plug-and-play approach without a centralized management.Many of the critical infrastructures under development embrace the vision of the SoS in order to have a better orchestration of the control decisions among their constituents, rather than having a set of independent systems with no...

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“…In applying this theory, many challenges are increasingly being addressed. We can mention, conflict management through different sources of information [24], [25], Consideration of the relationship between various pieces of evidence before the fusion step [26], [27], the problem in body of evidence (BOE) generation [28], [29] and finally, the consideration of the frame of discernment (F OD) in uncertainty management [24], [30].…”

Section: Introductionmentioning

confidence: 99%

“…These measures use the Shannon entropy principle for the uncertainty quantifiying. Also, these measures include Hohle's confusion measure [31], Dubois & Prade's weighted Hartley entropy [32], Yager's dissonance measure [33], Klir & Ramer's discord measure [34], Klir & Parviz's strife measure [35], George & Pal's conflict measure [36], Deng entropy [37] and modified Deng entropy proposed by Zhou et al [30].…”

Section: Introductionmentioning

confidence: 99%

A New Uncertainty Measure in Belief Entropy Framework

Mambe¹,

́e²,

Georges³

et al. 2018

ijacsa

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Belief entropy, which represents the uncertainty measure between several pieces of evidence in the Dempster-Shafer framework, is attracting increasing interest in research. It has been used in many applications and is mainly based on the theory of evidence. To quantify uncertainty, several measures have been proposed in the literature. These measures, sometimes in extended or hybrid forms, use the Shannon entropy principle to determine uncertainty degree. However, the failure to consider the scale of the frame of discernment framework remains an open issue in quantifying uncertainty. In this paper, we propose a new uncertainty measure that takes into account the power set of the frame of discernment. After analysing the different existing methods, we show the performance and effectiveness of our proposed approach.

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A modified belief entropy in Dempster-Shafer framework

Cited by 43 publications

References 68 publications

An Improved Expression for Information Quality of Basic Probability Assignment and Its Application in Fault Diagnosis

An Improved Expression for Information Quality of Basic Probability Assignment and Its Application in Fault Diagnosis

Information theoretic‐based detection and removal of slander and/or false‐praise attacks for robust trust management with Dempster‐Shafer combination of linguistic fuzzy terms

A New Uncertainty Measure in Belief Entropy Framework

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