Weighted deng entropy and its application in uncertainty measure

Tang, Yongchuan; Fang, Xiang; Zhou, Deyun; Lv, Xiaofeng

doi:10.23919/icif.2017.8009667

Cited by 5 publications

(6 citation statements)

References 26 publications

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“…Recently, evidence distance and entropy-based models have been used to combine conflicting evidence outside of the MAS community [15]- [18]. However, we realize that the assigned weight is directly proportional to the entropy of the evidence (the higher the entropy, the greater the weight) in data fusion models [16], [17], [19]. We argue that great weights are assigned to the high-entropy evidence is inappropriate.…”

Section: Related Workmentioning

confidence: 92%

“…In the previous methods [18], [23], [34], [35], especially outside the system of multiagents, evidence distance and entropy-based approaches and average weight approaches are dominant for data fusion. However, we recognize that the assigned weight is directly proportional to the entropy value [16], [17], [19], that is, the high weight is assigned to the evidence with high entropy, and it is not reasonable. Besides, the entropy of DST is rarely used alone for conflict evidence combination.…”

Section: B Itemmentioning

confidence: 98%

“…Shannon entropy is often implemented to estimate the average amount of information carried by a message in the context of probability theory [28]. As a generation of probability theory, many definitions of entropy of DST have arisen, for instance, the definitions proposed by Smets [29], Yager [30], Deng [25] and so on [17], [31]. We use Deng entropy to capture the uncertainty of BPAs.…”

Section: Dempster-shafer Theory Of Evidencementioning

confidence: 99%

“…As (6) shows, we hold that great weights should be appointed to the small-entropy BPAs. However, [16], [17], [19]…”

Section: A Item Vs Brsmentioning

confidence: 99%

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An improved evidence theory-based trust model for multiagent resource allocation

Wang¹,

Zgaya-Biau²,

Mathieu³

et al. 2020

2020 IEEE International Conference on Systems, Man, and Cybernetics (SMC)

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In a resource allocation system, resource suppliers and customers can be naturally modelled as autonomous and interactive entities. In this context, we propose in this paper a multiagent system architecture based on trust and honesty concepts between agents in order to synchronize resource allocation in a distributed environment. Indeed, agents use several means in order to allocate resources efficiently as dialogue, adaptability, cooperation, collaboration and even negotiation in addition to the notion of trust. So, individual agents have to evaluate the trustworthiness of others to select those to interact with. Moreover, resource inadequacies can exist in the resource allocation systems, and it is difficult to meet the resource requirements of all agents simultaneously. To overcome these difficulties, we propose a distributed multiagent resource allocation system that emphasizes the issues of agents trust and resource inadequacies, which is called MARA-T&R. In this system, the evidence theory is improved thanks to the Deng entropy to estimate the trustworthiness of agents. Additionally, we use the concept of reservations to solve the problem of resource inadequacies. Our simulation results highlight the excellent performances of this improved trust model and the efficiency of the proposed MARA-T&R system for resource allocation.

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Section: Related Workmentioning

confidence: 92%

Section: B Itemmentioning

confidence: 98%

Section: Dempster-shafer Theory Of Evidencementioning

confidence: 99%

“…As (6) shows, we hold that great weights should be appointed to the small-entropy BPAs. However, [16], [17], [19]…”

Section: A Item Vs Brsmentioning

confidence: 99%

See 2 more Smart Citations

An improved evidence theory-based trust model for multiagent resource allocation

Wang¹,

Zgaya-Biau²,

Mathieu³

et al. 2020

2020 IEEE International Conference on Systems, Man, and Cybernetics (SMC)

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“…In the literature, several properties of Deng entropy have been studied (see for instance [ 20 ]) and other measures of uncertainty based on Deng entropy have been introduced (see [ 21 , 22 ]). Other relevant measures of uncertainty and information known in the Dempster–Shafer theory of evidence are, for example, Hohle’s confusion measure [ 23 ], Yager’s dissonance measure [ 24 ] and Klir and Ramer’s discord measure [ 25 ].…”

Section: Introductionmentioning

confidence: 99%

A Dual Measure of Uncertainty: The Deng Extropy

Buono

Longobardi

2020

Entropy

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The extropy has recently been introduced as the dual concept of entropy. Moreover, in the context of the Dempster–Shafer evidence theory, Deng studied a new measure of discrimination, named the Deng entropy. In this paper, we define the Deng extropy and study its relation with Deng entropy, and examples are proposed in order to compare them. The behaviour of Deng extropy is studied under changes of focal elements. A characterization result is given for the maximum Deng extropy and, finally, a numerical example in pattern recognition is discussed in order to highlight the relevance of the new measure.

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