Art objects can evoke certain emotions. Color is a fundamental element of visual art and plays a significant role in how art is perceived. This paper introduces a novel approach to classifying emotions in art using Fuzzy Sets. We employ a fuzzy approach because it aligns well with human judgments' imprecise and subjective nature. Extensive fuzzy colors (n=120) and a broad emotional spectrum (n=10) allow for a more human-consistent and context-aware exploration of emotions inherent in paintings. First, we introduce the fuzzy color representation model. Then, at the fuzzification stage, we process the Wiki Art Dataset of paintings tagged with emotions, extracting fuzzy dominant colors linked to specific emotions. This results in fuzzy color distributions for ten emotions. Finally, we convert them back to a crisp domain, obtaining a knowledge base of color-emotion associations in primary colors. Our findings reveal strong associations between specific emotions and colors; for instance, gratitude strongly correlates with green, brown, and orange. Other noteworthy associations include brown and anger, orange with shame, yellow with happiness, and gray with fear. Using these associations and Jaccard similarity, we can find the emotions in the arbitrary untagged image. We conducted a 2AFC experiment involving human subjects to evaluate the proposed method. The average hit rate of 0.77 indicates a significant correlation between the method's predictions and human perception. The proposed method is simple to adapt to art painting retrieval systems. The study contributes to the theoretical understanding of color-emotion associations in art, offering valuable insights for various practical applications besides art, like marketing, design, and psychology.

翻译：艺术作品能够引发特定的情感。色彩是视觉艺术的基本元素，在艺术感知中扮演着重要角色。本文提出了一种使用模糊集对艺术情感进行分类的新方法。我们采用模糊方法，因为它与人类判断的不精确性和主观性高度契合。广泛的模糊色彩集（n=120）和宽泛的情感谱系（n=10）使得对绘画中固有情感的探索更加符合人类认知且更具语境敏感性。首先，我们引入了模糊色彩表示模型。然后，在模糊化阶段，我们处理了带有情感标签的Wiki Art绘画数据集，提取了与特定情感相关联的模糊主色。这得到了十种情感的模糊色彩分布。最后，我们将这些分布转换回清晰域，获得了原色中色彩-情感关联的知识库。我们的发现揭示了特定情感与色彩之间的强关联；例如，感激与绿色、棕色和橙色高度相关。其他值得注意的关联包括棕色与愤怒、橙色与羞耻、黄色与快乐、灰色与恐惧。利用这些关联和Jaccard相似度，我们可以在任意未标记的图像中找到情感。我们进行了涉及人类受试者的2AFC实验来评估所提出的方法。0.77的平均命中率表明该方法预测与人类感知之间存在显著相关性。所提出的方法易于适配艺术绘画检索系统。该研究有助于理解艺术中色彩-情感关联的理论，为艺术之外如市场营销、设计和心理学等领域的各种实际应用提供了宝贵的见解。