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OALib Journal期刊
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Similarity Measures and Entropy for Vague Sets
Vague相似度量与Vague熵

Keywords: Similarity measure,Vague sets,Vague entropy,Fuzzy sets
模糊集
,Vague集,相似度量,Vague熵

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Abstract:

The paper draws comparison and analysis among present similarity measure methods in the case of similari-ty measures between Vague values, provides a new similarity measure method, of which discusses on the normalcharacteristics, gives some relative character theorems. At the same time, it analyzes the application of fuzzy similari-ty measures in vague similarity measures and gives its normal forms such as similarity measures between Vague sets,between elements and their weighted similarity measures. Finally, vague entropy rule respectively aiming at twokinds of cases is approached and its corresponding vague entropy expressions is provided. The content of this paper isof practical significance in such fields as fuzzy decision-making, vague clustering, pattern recognition, data miningetc.

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