有限区间上模糊划分的模糊熵

Ming Qing
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摘要

本文定义了有限区间上模糊划分的模糊熵。模糊划分的模糊熵综合反映了模糊划分的模糊程度。然后,给出了模糊分区的模糊熵的计算公式。这些结果将有助于模糊系统的分析和设计,因为如何度量模糊分区的模糊熵是为模糊系统构建模糊熵的重要基础,以反映通常由不同话语域上的多个模糊分区组成的模糊系统的模糊程度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fuzzy Entropy of Fuzzy Partition on a Finite Interval
In this paper, fuzzy entropy for a fuzzy partition on a finite interval is defined. Fuzzy entropy for a fuzzy partition comprehensively reflects fuzzy degree of a fuzzy partition. Then, some computation formulae of fuzzy entropy for a fuzzy partition are presented. These results will contribute to the analysis and design of fuzzy systems in that how to measure the fuzzy entropy of a fuzzy partition is an important foundation to construct fuzzy entropy for a fuzzy system to reflect fuzzy degree of a fuzzy system which is commonly made up of several fuzzy partitions on different universes of the discourse.
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