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Sensors 2017, 17(4), 922; doi:10.3390/s17040922

Zero-Sum Matrix Game with Payoffs of Dempster-Shafer Belief Structures and Its Applications on Sensors

School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, China
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Received: 16 January 2017 / Revised: 13 April 2017 / Accepted: 19 April 2017 / Published: 21 April 2017
(This article belongs to the Special Issue Soft Sensors and Intelligent Algorithms for Data Fusion)
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Abstract

The zero-sum matrix game is one of the most classic game models, and it is widely used in many scientific and engineering fields. In the real world, due to the complexity of the decision-making environment, sometimes the payoffs received by players may be inexact or uncertain, which requires that the model of matrix games has the ability to represent and deal with imprecise payoffs. To meet such a requirement, this paper develops a zero-sum matrix game model with Dempster–Shafer belief structure payoffs, which effectively represents the ambiguity involved in payoffs of a game. Then, a decomposition method is proposed to calculate the value of such a game, which is also expressed with belief structures. Moreover, for the possible computation-intensive issue in the proposed decomposition method, as an alternative solution, a Monte Carlo simulation approach is presented, as well. Finally, the proposed zero-sum matrix games with payoffs of Dempster–Shafer belief structures is illustratively applied to the sensor selection and intrusion detection of sensor networks, which shows its effectiveness and application process. View Full-Text
Keywords: sensor selection; intrusion detection; matrix game; imprecise payoff; Dempster–Shafer evidence theory; belief function sensor selection; intrusion detection; matrix game; imprecise payoff; Dempster–Shafer evidence theory; belief function
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Deng, X.; Jiang, W.; Zhang, J. Zero-Sum Matrix Game with Payoffs of Dempster-Shafer Belief Structures and Its Applications on Sensors. Sensors 2017, 17, 922.

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