Tactile rendering in virtual interactive scenes plays an important role in improving the quality of user experience. The subjective rating is currently the mainstream measurement to assess haptic rendering realism, which ignores various subjective and objective uncertainties in the evaluation process and also neglects the mutual influence among tactile renderings. In this paper, we extend the existing subjective evaluation and systematically propose a fuzzy evaluation method of haptic rendering realism. Hierarchical fuzzy scoring based on confidence interval is introduced to reduce the difficulty of expressing tactile feeling with deterministic rating. After the fuzzy statistics based on the membership function, we further use close-degree and transitive closure to calculate the fuzzy equivalence matrix between different tactile renderings. Fuzzy clustering is carried out to complete the comprehensive evaluation in the case of multiple indicators. Five tactile objects are used to simulate various situations of tactile rendering. The experimental results of haptic perceptual similarity evaluation show the existence of fuzziness in the subjective evaluation and verify the feasibility of the proposed method applied to multi-indicator evaluation. We also conclude that the proposed method outperforms the existing methods in terms of time cost and labor cost.

中文翻译：

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触觉感知相似度的模糊评价方法

虚拟交互场景中的触觉渲染对于提高用户体验质量起着重要作用。主观评分是目前评估触觉渲染真实感的主流衡量标准，它忽略了评估过程中的各种主客观不确定性，也忽略了触觉渲染之间的相互影响。在本文中，我们扩展了现有的主观评价，系统地提出了触觉渲染真实感的模糊评价方法。引入基于置信区间的分层模糊评分，以降低确定性评分表达触觉的难度。在基于隶属函数的模糊统计之后，我们进一步利用接近度和传递闭包来计算不同触觉渲染之间的模糊等价矩阵。进行模糊聚类，完成多指标情况下的综合评价。使用五个触觉物体来模拟触觉渲染的各种情况。触觉感知相似度评价的实验结果表明主观评价存在模糊性，验证了所提方法应用于多指标评价的可行性。我们还得出结论，所提出的方法在时间成本和劳动力成本方面优于现有方法。