To enhance the credibility level/measure of an intuitionistic fuzzy set (IFS), this study proposes the notion of an intuitionistic fuzzy credibility set (IFCS) to express the hybrid information of a pair of a membership degree and a credibility degree and a pair of a nonmembership degree and a credibility degree. Next, we propose generalized distance and similarity measures between IFCSs and then further generalize the weighted generalized distance measure of IFCSs to the trigonometric function-based similarity measures of IFCSs, including the cosine, sine, tangent, and cotangent similarity measures based on the weighted generalized distance measure of IFCSs. Then, a multicriteria decision making (MCDM) method using the proposed similarity measures is developed in the environment of IFCSs. An illustrative example about the performance evaluation of industrial robots and comparative analysis are presented to indicate the applicability and efficiency of the developed method in the setting of IFCSs.

中文翻译：

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直觉模糊可信度集合的相似度量及其工业机器人性能评估的多准则决策方法

为了提高直觉模糊集（IFS）的可信度/度量，本研究提出了一种直觉模糊可信度集（IFCS）的概念，以表达一对隶属度和一个可信度以及一对非会员度和信誉度。接下来，我们提出了IFCS之间的广义距离和相似性度量，然后将IFCS的加权广义距离度量进一步推广到IFCS的基于三角函数的相似性度量，包括基于加权广义的余弦，正弦，正切和余切相似性度量政府间化学品安全论坛的距离量度。然后，在政府间化学品安全论坛的环境中，开发了一种使用所提出的相似性度量的多准则决策方法。