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511 results on '"Basic belief"'

14. CEQD: A Complex Mass Function to Predict Interference Effects

Author

Fuyuan Xiao

Subjects
Mathematical optimization, Computer science, Basic belief, Decision theory, Uncertainty, Bayes Theorem, 020206 networking & telecommunications, 02 engineering and technology, Function (mathematics), Interference (wave propagation), Bayesian inference, Computer Science Applications, Human-Computer Interaction, Transformation (function), Control and Systems Engineering, 0202 electrical engineering, electronic engineering, information engineering, Humans, 020201 artificial intelligence & image processing, Electrical and Electronic Engineering, Quantum, Complex plane, Software, Information Systems
Abstract

Uncertainty is inevitable in the decision-making process of real applications. Quantum mechanics has become an interesting and popular topic in predicting and explaining human decision-making behaviors, especially regarding interference effects caused by uncertainty in the process of decision making, due to the limitations of Bayesian reasoning. In addition, complex evidence theory (CET), as a generalized Dempster-Shafer evidence theory, has been proposed to represent and handle uncertainty in the framework of the complex plane, and it is an effective tool in uncertainty reasoning. Particularly, the complex mass function, also known as a complex basic belief assignment in CET, is complex-value modeled, which is superior to the classical mass function in expressing uncertain information. CET is considered to have certain inherent connections with quantum mechanics since both are complex-value modeled and can be applied in handling uncertainty in decision-making problems. In this article, therefore, by bridging CET and quantum mechanics, we propose a new complex evidential quantum dynamical (CEQD) model to predict interference effects on human decision-making behaviors. In addition, uniform and weighted complex Pignistic belief transformation functions are proposed, which can be used effectively in the CEQD model to help explain interference effects. The experimental results and comparisons demonstrate the effectiveness of the proposed method. In summary, the proposed CEQD method provides a new perspective to study and explain the interference effects involved in human decision-making behaviors, which is significant for decision theory.

Published
2022
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19. De-combination of belief function based on optimization

Author

Xiaojing Fan, Yi Yang, Jean Dezert, and Deqiang Han

Subjects
Mathematical optimization, Information fusion, Process (engineering), Basic belief, Computer science, Mechanical Engineering, Aerospace Engineering, Inverse, Maximization, Function (mathematics), Divergence (statistics)
Abstract

In the theory of belief functions, the evidence combination is a kind of decision-level information fusion. Given two or more Basic Belief Assignments (BBAs) originated from different information sources, the combination rule is used to combine them to expect a better decision result. When only a combined BBA is given and original BBAs are discarded, if one wants to analyze the difference between the information sources, evidence de-combination is needed to determine the original BBAs. Evidence de-combination can be considered as the inverse process of the information fusion. This paper focuses on such a defusion of information in the theory of belief functions. It is an under-determined problem if only the combined BBA is available. In this paper, two optimization-based approaches are proposed to de-combine a given BBA according to the criteria of divergence maximization and information maximization, respectively. The new proposed approaches can be used for two or more information sources. Some numerical examples and an example of application are provided to illustrate and validate our approaches.

Published
2022
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23. Efficient Pixel-Grouping Based on Dempster’s Theory of Evidence for Image Segmentation

Author

Scheuermann, Björn, Schlosser, Markus, Rosenhahn, Bodo, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Lee, Kyoung Mu, editor, Matsushita, Yasuyuki, editor, Rehg, James M., editor, and Hu, Zhanyi, editor

Published
2013
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28. Introducing Incomparability in Modeling Qualitative Belief Functions

Author

Ennaceur, Amel, Elouedi, Zied, Lefevre, Eric, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Goebel, Randy, editor, Siekmann, Jörg, editor, Wahlster, Wolfgang, editor, Torra, Vicenç, editor, Narukawa, Yasuo, editor, López, Beatriz, editor, and Villaret, Mateu, editor

Published
2012
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47. Intuition and Method

Author

Leplin, Jarrett, Sellars, W.S., editor, Lehrer, K., editor, Hetherington, S., editor, Cohen, S., editor, and Leplin, Jarrett

Published
2009
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