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28 Results Found

  • Article
  • Open Access
34 Citations
4,771 Views
11 Pages

A New Belief Entropy Based on Deng Entropy

  • Dan Wang,
  • Jiale Gao and
  • Daijun Wei

10 October 2019

For Dempster–Shafer evidence theory, how to measure the uncertainty of basic probability assignment (BPA) is still an open question. Deng entropy is one of the methods for measuring the uncertainty of Dempster–Shafer evidence. Recently, s...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
51 Citations
4,611 Views
13 Pages

Fractional Deng Entropy and Extropy and Some Applications

  • Mohammad Reza Kazemi,
  • Saeid Tahmasebi,
  • Francesco Buono and
  • Maria Longobardi

17 May 2021

Deng entropy and extropy are two measures useful in the Dempster–Shafer evidence theory (DST) to study uncertainty, following the idea that extropy is the dual concept of entropy. In this paper, we present their fractional versions named fractional D...

(This article belongs to the Special Issue Measures of Information)
  • Article
  • Open Access
34 Citations
6,529 Views
15 Pages

28 February 2020

Failure mode and effects analysis (FMEA), as a commonly used risk management method, has been extensively applied to the engineering domain. A vital parameter in FMEA is the risk priority number (RPN), which is the product of occurrence (O), severity...

(This article belongs to the Special Issue Entropy: The Scientific Tool of the 21st Century)
  • Article
  • Open Access
460 Views
16 Pages

15 July 2026

Conflict management is crucial in information fusion. One of the efficient algorithms to address conflicting data fusion is discounting method. However, how to determine the discounting coefficient in conflict management remains an open issue. A heur...

(This article belongs to the Special Issue Entropy Method for Decision Making with Uncertainty, 2nd Edition)
  • Article
  • Open Access
20 Citations
4,277 Views
16 Pages

15 November 2019

It is still an open issue to measure uncertainty of the basic probability assignment function under Dempster-Shafer theory framework, which is the foundation and preliminary work for conflict degree measurement and combination of evidences. This pape...

(This article belongs to the Section Entropy and Biology)
  • Article
  • Open Access
2 Citations
449 Views
25 Pages

3 June 2026

Constructing basic probability assignments (BPAs) objectively and adaptively remains an important issue in Dempster–Shafer theory. To reduce the uncertainty caused by rigid nested focal element structures, this paper proposes ODE-BPA, a BPA gen...

(This article belongs to the Special Issue Recent Progress in Uncertainty Measures)
  • Article
  • Open Access
24 Citations
4,873 Views
15 Pages

11 June 2018

Quantification of uncertain degree in the Dempster-Shafer evidence theory (DST) framework with belief entropy is still an open issue, even a blank field for the open world assumption. Currently, the existed uncertainty measures in the DST framework a...

(This article belongs to the Collection Multi-Sensor Information Fusion)
  • Article
  • Open Access
57 Citations
5,135 Views
10 Pages

A Dual Measure of Uncertainty: The Deng Extropy

  • Francesco Buono and
  • Maria Longobardi

21 May 2020

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 ex...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
9 Citations
3,565 Views
12 Pages

7 September 2020

Quantifying uncertainty is a hot topic for uncertain information processing in the framework of evidence theory, but there is limited research on belief entropy in the open world assumption. In this paper, an uncertainty measurement method that is ba...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
92 Citations
8,217 Views
14 Pages

Evidential Decision Tree Based on Belief Entropy

  • Mujin Li,
  • Honghui Xu and
  • Yong Deng

16 September 2019

Decision Tree is widely applied in many areas, such as classification and recognition. Traditional information entropy and Pearson’s correlation coefficient are often applied as measures of splitting rules to find the best splitting attribute....

  • Article
  • Open Access
96 Citations
6,818 Views
13 Pages

3 November 2018

How to measure the uncertainty of the basic probability assignment (BPA) function is an open issue in Dempster–Shafer (D–S) theory. The main work of this paper is to propose a new belief entropy, which is mainly used to measure the uncert...

(This article belongs to the Special Issue Information Theory and 5G Technologies)
  • Article
  • Open Access
91 Citations
8,463 Views
15 Pages

22 April 2017

In real applications, how to measure the uncertain degree of sensor reports before applying sensor data fusion is a big challenge. In this paper, in the frame of Dempster–Shafer evidence theory, a weighted belief entropy based on Deng entropy is prop...

(This article belongs to the Special Issue Soft Sensors and Intelligent Algorithms for Data Fusion)
  • Article
  • Open Access
17 Citations
3,746 Views
17 Pages

28 March 2021

Dempster-Shafer (DS) evidence theory is widely used in various fields of uncertain information processing, but it may produce counterintuitive results when dealing with conflicting data. Therefore, this paper proposes a new data fusion method which c...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
53 Citations
4,769 Views
19 Pages

2 July 2022

Software risk management is an important factor in ensuring software quality. Therefore, software risk assessment has become a significant and challenging research area. The aim of this study is to establish a data-driven software risk assessment mod...

(This article belongs to the Special Issue Probability and Statistics in Quality and Reliability Engineering)
  • Article
  • Open Access
1,008 Views
24 Pages

A Dempster-Shafer Theory-Based Multi-Criteria Decision Model for Evaluating Sustainable Third-Party Logistics Providers

  • Tuong Thanh Vo,
  • James J. H. Liou,
  • Yi-Ling Tsai,
  • Han Ru Tan,
  • Sun-Weng Huang and
  • Hsi-Hua Chen

7 May 2026

Selecting sustainable third-party logistics providers (3PLPs) is essential for enhancing competitiveness and sustainability performance. However, conventional approaches often fail to adequately capture sustainability dimensions and manage uncertaint...

(This article belongs to the Collection Business Performance and Socio-environmental Sustainability)
  • Article
  • Open Access
3 Citations
2,379 Views
29 Pages

26 June 2025

In multi-criteria group decision making, decision makers are commonly regarded as independent. However, in practice, heterogeneous backgrounds and complex cognitive processes lead to mutual interference among their judgments. To address this gap, a n...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
103 Citations
8,736 Views
13 Pages

Modeling Sensor Reliability in Fault Diagnosis Based on Evidence Theory

  • Kaijuan Yuan,
  • Fuyuan Xiao,
  • Liguo Fei,
  • Bingyi Kang and
  • Yong Deng

18 January 2016

Sensor data fusion plays an important role in fault diagnosis. Dempster–Shafer (D-R) evidence theory is widely used in fault diagnosis, since it is efficient to combine evidence from different sensors. However, under the situation where the evidence...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
9 Citations
3,312 Views
16 Pages

4 June 2021

The Dempster–Shafer evidence theory has been widely used in the field of data fusion. However, with further research, incomplete information under the open world assumption has been discovered as a new type of uncertain information. The classical Dem...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
1,150 Views
29 Pages

Volume Dimension of Mass Functions in Complex Networks

  • Maria del Carmen Soto-Camacho,
  • Jazmin Susana De la Cruz-Garcia,
  • Juan Bory-Reyes and
  • Aldo Ramirez-Arellano

28 August 2025

A novel definition of volume dimension for a mass function based on a sigmoid asymptote is proposed; in particular, we extend the volume dimension of a mass function to define the volume dimensions for nodes and edges in complex networks. Furthermore...

(This article belongs to the Special Issue Complex Network Modeling: Theory and Applications, 2nd Edition)
  • Article
  • Open Access
45 Citations
5,733 Views
14 Pages

5 November 2019

Multi-sensor data fusion technology in an important tool in building decision-making applications. Modified Dempster–Shafer (DS) evidence theory can handle conflicting sensor inputs and can be applied without any prior information. As a result,...

(This article belongs to the Collection Multi-Sensor Information Fusion)
  • Article
  • Open Access
692 Views
28 Pages

Dynamic Weighted Fractional Entropy for Time-Fractional Diffusion Processes via Moment Formulas

  • Arsalane Chouaib Guidoum,
  • Mohammed Bassoudi,
  • Fatimah A. Almulhim and
  • Mohammed B. Alamari

We investigate dynamic weighted fractional information-theoretic measures for linear stochastic differential equations driven by fractional Brownian motion with Hurst parameter H∈(1/2,1). Motivated by recent constructions of fractional Deng entr...

(This article belongs to the Section Probability and Statistics)
  • Article
  • Open Access
519 Views
37 Pages

20 May 2026

Case-based reasoning (CBR) is an efficient intelligent decision-making approach, but traditional methods often neglect the weight and reliability of decision information and struggle with attribute heterogeneity and missing data. This study proposes...

(This article belongs to the Section Systems Theory and Methodology)
  • Article
  • Open Access
48 Citations
5,303 Views
12 Pages

2 November 2022

Dempster–Shafer evidence theory is widely used in modeling and reasoning uncertain information in real applications. Recently, a new perspective of modeling uncertain information with the negation of evidence was proposed and has attracted a lo...

(This article belongs to the Special Issue Advances in Uncertain Information Fusion)
  • Article
  • Open Access
782 Views
28 Pages

Dual-View Entropy-Driven AIS–Sonar Fusion for Surface and Underwater Target Discrimination

  • Xiaoshuang Zhang,
  • Jiayi Che,
  • Xiaodan Xiong,
  • Yucheng Zhang,
  • Xinbo He,
  • Mengsha Deng and
  • Dezhi Wang

Distinguishing surfaces from underwater targets in complex marine environments is challenging when relying solely on physical sonar features. To address the high uncertainty inherent in single-modal features and the conflicts arising from heterogeneo...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
10 Citations
4,215 Views
23 Pages

17 September 2021

Dempster–Shafer theory (DST), which is widely used in information fusion, can process uncertain information without prior information; however, when the evidence to combine is highly conflicting, it may lead to counter-intuitive results. Moreover, th...

(This article belongs to the Special Issue Recent Progress of Deng Entropy)
  • Article
  • Open Access
501 Views
26 Pages

30 April 2026

In fault diagnosis, multi-source information fusion (MSIF) is usually more reliable than single-source information, and Dempster–Shafer (D-S) evidence theory provides a universal and popular decision-level fusion framework for MSIF. However, ex...

(This article belongs to the Special Issue Nonlinear Dynamics and Control of Vibrations)
  • Article
  • Open Access
35 Citations
8,480 Views
24 Pages

28 May 2023

In IoT environments, voluminous amounts of data are produced every single second. Due to multiple factors, these data are prone to various imperfections, they could be uncertain, conflicting, or even incorrect leading to wrong decisions. Multisensor...

(This article belongs to the Section Intelligent Sensors)
  • Article
  • Open Access
28 Citations
5,208 Views
28 Pages

Hybrid Machine Learning-Based Fault-Tolerant Sensor Data Fusion and Anomaly Detection for Fire Risk Mitigation in IIoT Environment

  • Jayameena Desikan,
  • Sushil Kumar Singh,
  • A. Jayanthiladevi,
  • Shashi Bhushan,
  • Vinay Rishiwal and
  • Manish Kumar

28 March 2025

In the oil and gas IIoT environment, fire detection systems heavily depend on fire sensor data, which can be prone to inaccuracies due to faulty or unreliable sensors. These sensor issues, such as noise, missing values, outliers, sensor drift, and fa...

(This article belongs to the Section Internet of Things)