Uncertainty Measurement for a Set-Valued Information System: Gaussian Kernel Method
Key Laboratory of Complex System Optimization and Big Data Processing in Department of Guangxi Education, Yulin Normal University, Yulin 537000, China
Author to whom correspondence should be addressed.
Received: 16 December 2018 / Revised: 3 January 2019 / Accepted: 24 January 2019 / Published: 11 February 2019
A set-valued information system (SIS) is the generalization of a single-valued information system. This article explores uncertainty measurement for a SIS by using Gaussian kernel. The fuzzy
-equivalence relation lead by a SIS is first obtained by using Gaussian kernel. Then, information structures in this SIS are described by set vectors. Next, dependence between information structures is presented and properties of information structures are investigated. Lastly, uncertainty measures of a SIS are presented by using its information structures. Moreover, effectiveness analysis is done to assess the feasibility of our presented measures. The consequence of this article will help us understand the intrinsic properties of uncertainty in a SIS.
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MDPI and ACS Style
He, J.; Wang, P.; Li, Z. Uncertainty Measurement for a Set-Valued Information System: Gaussian Kernel Method. Symmetry 2019, 11, 199.
He J, Wang P, Li Z. Uncertainty Measurement for a Set-Valued Information System: Gaussian Kernel Method. Symmetry. 2019; 11(2):199.
He, Jiali; Wang, Pei; Li, Zhaowen. 2019. "Uncertainty Measurement for a Set-Valued Information System: Gaussian Kernel Method." Symmetry 11, no. 2: 199.
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