The concept of hybrid random type-2 uncertainty is yet to be used in decision-making problems. Here, under this category, random type-2 triangular fuzzy, random type-2 Gaussian fuzzy and random type-2 zigzag uncertain variables are presented. For illustration, a fixed charge four dimension transportation problem (FC4D-TP) for a breakable item is formulated with its selling prices, purchasing costs, transportation costs, fixed charges, availability, demands and conveyances’ capacities as hybrid random type-2 uncertain parameters. The model is de-randomized using probability chance constraint. The reduced type-2 triangular and Gaussian fuzzy models are de-fuzzified by CV based reduction technique and the type-2 zigzag uncertain model is transformed to deterministic one by expected value-based reduction method. In addition to these, the model with type-2 triangular fuzzy parameters is also de-fuzzified by two other methods such as CV-centroid based defuzzification and nearest interval approximation methods. All these reduced deterministic problems along with some particular models are solved by Generalized Reduced Gradient method using LINGO 18.0 and numerically illustrated. Some sensitivity analyses are presented. Expressions of a previous model are deduced. Importance of FC4D-TP formulation is pointed out. Effects of hybrid uncertainties are also discussed. The proposed nature of parameters’ uncertainty is illustrated.

混合随机2型不确定性的概念尚未用于决策问题。在此类别下，给出了随机2型三角模糊，随机2型高斯模糊和随机2型之字形不确定变量。为说明起见，将易碎物品的固定收费四维运输问题（FC4D-TP）公式化为其销售价格，购买成本，运输成本，固定费用，可用性，需求和运输能力，作为混合随机2型不确定参数。使用概率机会约束对模型进行非随机化。通过基于CV的约简技术对经过简化的2型三角和高斯模糊模型进行模糊化处理，并通过基于期望值的约简方法将2型之字形不确定模型转换为确定性模型。除了这些，具有其他类型2三角模糊参数的模型也可以通过其他两种方法（例如基于CV质心的去模糊和最近间隔近似方法）进行去模糊。所有这些归约确定性问题以及某些特定模型都使用LINGO 18.0通过广义归约梯度法进行了求解，并进行了数值说明。提出了一些敏感性分析。推导先前模型的表达式。指出了FC4D-TP配方的重要性。还讨论了混合不确定性的影响。说明了参数不确定性的拟议性质。所有这些归约确定性问题以及某些特定模型均使用LINGO 18.0通过广义归约梯度法进行了求解并进行了数值说明。提出了一些敏感性分析。推导先前模型的表达式。指出了FC4D-TP配方的重要性。还讨论了混合不确定性的影响。说明了参数不确定性的拟议性质。所有这些归约确定性问题以及某些特定模型均使用LINGO 18.0通过广义归约梯度法进行了求解并进行了数值说明。提出了一些敏感性分析。推导先前模型的表达式。指出了FC4D-TP配方的重要性。还讨论了混合不确定性的影响。说明了参数不确定性的拟议性质。