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Symmetry 2019, 11(2), 199; https://doi.org/10.3390/sym11020199

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
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Received: 16 December 2018 / Revised: 3 January 2019 / Accepted: 24 January 2019 / Published: 11 February 2019
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Abstract

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 T c o s -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. View Full-Text
Keywords: granular computing; set-valued information system; distance; gaussian kernel; information structure; dependence; uncertainty; measurement granular computing; set-valued information system; distance; gaussian kernel; information structure; dependence; uncertainty; measurement
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He, J.; Wang, P.; Li, Z. Uncertainty Measurement for a Set-Valued Information System: Gaussian Kernel Method. Symmetry 2019, 11, 199.

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