2009Computer Engineering and ScienceRequires access

Uncertainty Measures of the Knowledge Based on Fuzzy Measuring in Incomplete Information Systems

Wenqi Liu

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Abstract

Considering the impact of similar attributes and missing values in the incomplete information systems,it is unreasonable if you use the block size to measure the amount of information and the roughness of knowledge.This paper defines the information entropy of fuzzy measures,the rough entropy of knowledge and the rough set entropy,proves the rationality and its characteristics of the fuzzy measure rough entropy,and then takes an example to describe how to choose reasonable measurement to calculate the rough entroy,and applies it to the reduction of knowledge in incomplete information systems.

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What this paper is about

Considering the impact of similar attributes and missing values in the incomplete information systems,it is unreasonable if you use the block size to measure the amount of information and the roughness of knowledge.This paper defines the information entropy of fuzzy measures,the rough entropy of knowledge and the rough set entropy,proves the rationality and its characteristics of the fuzzy measure rough entropy,and then takes an example to describe how to choose reasonable measurement to calculate the rough entroy,and applies it to the reduction of knowledge in incomplete information systems.

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Available abstract

Considering the impact of similar attributes and missing values in the incomplete information systems,it is unreasonable if you use the block size to measure the amount of information and the roughness of knowledge.This paper defines the information entropy of fuzzy measures,the rough entropy of knowledge and the rough set entropy,proves the rationality and its characteristics of the fuzzy measure rough entropy,and then takes an example to describe how to choose reasonable measurement to calculate the rough entroy,and applies it to the reduction of knowledge in incomplete information systems.

Key concepts: Rough set, Computer science, Entropy (arrow of time), Data mining, Fuzzy logic, Complete information, Fuzzy set, Measurement uncertainty

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