New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy‐Target Decision‐Making Tables

Huani Qin and Darong Luo

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: In the rough fuzzy set theory, the rough degree is used to characterize the uncertainty of a fuzzy set, and the rough entropy of a knowledge is used to depict the roughness of a rough classification. Both of them are effective, but they are not accurate enough. In this paper, we propose a new rough entropy of a rough fuzzy set combining the rough degree with the rough entropy of a knowledge. Theoretical studies and examples show that the new rough entropy of a rough fuzzy set is suitable. As an application, we introduce it into a fuzzy‐target decision‐making table and establish a new method for evaluating the entropy weight of attributes.

Date: 2014
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https://doi.org/10.1155/2014/487036

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:487036

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