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    The fuzzy k-nearest-neighbor (FKNN) method struggles with a fixed k value. This study introduces adaptive FKNN (A-FKNN) to optimize k for each sample, improving classification accuracy and efficiency.

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    Area of Science:

    • Machine Learning
    • Data Mining
    • Pattern Recognition

    Background:

    • The fuzzy k-nearest-neighbor (FKNN) method excels with uncertain data but suffers when the number of neighbors (k) is fixed.
    • Suboptimal fixed k values significantly degrade FKNN classification performance.

    Purpose of the Study:

    • To develop a novel FKNN-based classification method that adaptively determines the optimal k value for each testing sample.
    • To enhance classification accuracy and efficiency in fuzzy k-nearest-neighbor algorithms.

    Main Methods:

    • A novel fuzzy KNN method with adaptive nearest neighbors (A-FKNN) was developed.
    • A-FKNN learns optimal k values during training, builds a decision tree (A-FKNN tree), and uses it to find the optimal k for testing samples.
    • A faster version, FA-FKNN, was created using a decision tree with subsets of training samples.

    Main Results:

    • Both A-FKNN and FA-FKNN demonstrated superior classification accuracy compared to existing methods on 32 UCI datasets.
    • FA-FKNN achieved a shorter running time, indicating improved computational efficiency.
    • The adaptive approach effectively addresses the limitations of fixed k values in FKNN.

    Conclusions:

    • A-FKNN and FA-FKNN offer significant improvements over traditional FKNN by adapting the k value per sample.
    • The proposed methods enhance classification performance and efficiency, making them valuable for handling uncertain and ambiguous data.
    • FA-FKNN provides a computationally efficient alternative without compromising accuracy.