arXiv:2603.21012cs.IR2026-03

在稀疏评分数据下,用协同过滤与模糊聚合提升群体推荐的共识与公平性。

Consensus-Driven Group Recommendation on Sparse Explicit Feedback: A Collaborative Filtering and Choquet-Borda Aggregation Framework

  • 融合几何与不确定性感知相似度,构建更稳定的邻居集合。
  • 结合博达计数与Choquet积分,提升群体共识与评分公平性。
  • 适合无社交信息但需群体一致决策的推荐场景。

群体推荐系统在支持用户多样且可能冲突偏好时至关重要,但在仅有稀疏的用户-物品-评分数据、缺乏人口统计、上下文或群体级信息的情况下,实现稳定组内共识尤为困难。本文提出一种共识驱动的混合群体推荐框架,整合基于邻域的协同过滤与模糊聚合,以在稀疏环境下支持一致性、公平性与鲁棒性。引入复合相似度度量CBS,由两种改进的相似度指标组合而成:一种基于几何结构的评分模式度量,另一种在稀疏共评情境中建模信念、证据与分歧的不确定性度量。该组合提升了缺失评分的稳定估计,并支持共识导向的邻域构建。候选物品通过合并各用户前N项预测并使用博达计数机制增强,以缓解评分分布偏斜并强化群体共识。最终群体评分由Choquet积分计算,灵活捕捉异质用户影响力,同时保障公平性与共识形成。在具有不同评分分布的真实数据集上的实验表明,该方法显著提升群体共识、满意度与公平性,且维持合理的新颖性水平。尽管模型不依赖社会信息,其在信任感知新颖性度量下的评估显示,在社交结构化环境中仍具稳定表现。

原文摘要 · Abstract (English)

Group Recommender Systems (GRS) play an essential role in supporting collective decision-making among users with diverse and potentially conflicting preferences. However, achieving stable intra-group consensus becomes particularly challenging when only sparse userID-itemID-rating data are available and no demographic, contextual, or group-level information exists. This paper proposes a consensus-driven hybrid group recommendation framework that integrates neighborhood-based collaborative filtering with fuzzy aggregation to support agreement, fairness, and robustness under sparsity. A composite similarity measure, CBS (Combined Similarity), is derived from two enhanced similarity metrics introduced in prior work: a geometry-based measure that captures rating-pattern structure, and an uncertainty-aware measure that models belief, evidence, and disagreement in sparse co-rating contexts. This combination provides more stable estimation of missing ratings and supports consensus-oriented neighborhood construction. Candidate items are generated by merging per-user top-N predictions and further enriched using the Borda Count mechanism to mitigate skewed rating distributions and reinforce group-level agreement. Final group ratings are computed using the Choquet integral, which flexibly captures heterogeneous user influence while preserving fairness and supporting consensus formation. Experimental results on real-world datasets with different rating distributions show that the proposed method improves group-level consensus, satisfaction, and fairness, while maintaining a balanced level of novelty. Although the model does not rely on social information, its evaluation using trust-aware novelty measures indicates stable behavior in socially structured environments.

群体推荐协同过滤模糊聚合稀疏数据

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