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Picture最小二乘模糊推理算法在模式识别中的应用

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目的:由于picture模糊推理全蕴涵算法和picture模糊推理五蕴涵算法所满足的还原性是有条件的还原性,我们寻找一种满足无条件还原性的picture模糊推理算法.方法:将picture模糊集转化为三维模糊集,结合最小二乘模型的思想,构建最小二乘模型的picture模糊推理算法.结果:给出基于最小二乘模型的picture模糊推理算法及其解的表示形式.结论:我们将基于最小二乘模型的picture模糊推理算法应用到模式识别,实验结果表明,本文提出的算法是合理和有效的.
The application of picture least squares fuzzy inference algorithm in pattern recognition
Aims:Due to the conditional reducibility of the picture fuzzy reasoning full implication algorithm and the picture fuzzy reasoning quintuple implication algorithm,we need to find a picture fuzzy reasoning algorithm which satisfies unconditional reducibility.Methods:The picture fuzzy set was transformed into a three-dimensional fuzzy set;and combined with the idea of the least squares model,a picture fuzzy inference algorithm based on the least squares model was constructed.Results:A picture fuzzy inference algorithm based on the least squares model and its solution representation were provided.Conclusions:We applied the picture fuzzy inference algorithm based on the least squares model to the example of pattern recognition.The experimental results show that the proposed algorithm is reasonable and effective.

picture fuzzy setleast square methodpattern recognition

王林霞、罗敏霞

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中国计量大学理学院,浙江 杭州 310018

picture模糊集 最小二乘模型 模式识别

2024

中国计量大学学报
中国计量学院

中国计量大学学报

CHSSCD
影响因子:0.357
ISSN:2096-2835
年,卷(期):2024.35(3)