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April 26, 2026Symmetry0 citationsOpen Access

Fuzzy Granular Ball-Based Attribute Reduction for Interval-Valued Decision Systems

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YHYuxuan HeNZNan ZhangRWRuilin Wei

Key Points

  • This research aims to enhance attribute reduction methods for interval-valued decision systems by integrating fuzzy granular balls.
  • Proposed an efficient attribute reduction method using fuzzy interval-valued granular balls and an acceleration strategy based on the positive region.
  • Constructed tolerance classes for better partitioning of the data universe.
  • Developed a conditional entropy-based algorithm for attribute reduction.
  • The proposed algorithm significantly improves computational efficiency compared to previous methods.
  • High classification accuracy is maintained throughout the attribute reduction process.

Abstract

Feature selection is a core step in data analysis and is referred to as attribute reduction in rough set theory. Granular ball computing has emerged as a novel data analysis paradigm characterized by high computational efficiency, robustness, and scalability. However, in previous attribute reduction methods for interval numbers, the construction of tolerance classes and the reduction iteration process suffer from inefficiency. To address these limitations, this paper proposes an efficient attribute reduction method based on fuzzy interval-valued granular balls. This method integrates fuzzy interval-valued granular balls with an acceleration strategy based on the positive region. Specifically, we first construct tolerance classes efficiently using fuzzy interval-valued granular balls, thereby enabling a reasonable partition of the universe. We then remove redundant objects in the positive region during the reduction iteration to avoid unnecessary computations. On this basis, we further propose a conditional entropy-based algorithm for attribute reduction. Experimental results show that this algorithm substantially improves computational efficiency while maintaining high classification accuracy.

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Cite This Study

He et al. (2026) studied this question.

synapsesocial.com/papers/69edac4f4a46254e215b414ehttps://doi.org/10.3390/sym18050728
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