Abosuliman Shougi S, Ur Rahman Ijaz, Abdullah Saleem, Qadir Abbas
Department of Transportation and Port Management, Faculty of Maritime Studies, King Abdulaziz University, Jeddah 21588, Saudi Arabia.
Department of Mathematics, Abdul Wali Khan University, Mardan 23200, KP, Pakistan.
Heliyon. 2024 Aug 22;10(17):e36544. doi: 10.1016/j.heliyon.2024.e36544. eCollection 2024 Sep 15.
Financial institutions attach great importance to the multiple attribute decision-making (MADM) problems of selecting an effective third-party logistics (3PL) service provider in supply chain finance. A suitable 3PL service provider can not only assist financial institutions in carrying out supply chain finance activity but can also replace financial institutions in supervising the operation of a target financing supply chain, therefore minimizing financial institutions' operating risks. However, there is no sufficient study on the selection of a 3PL service provider. Hence, the objective of this paper is to establish an innovative concept of the "probabilistic complex hesitant fuzzy set" (PCHFS), which is a hybrid structure of the complex hesitant fuzzy set and the probabilistic fuzzy set to manage complex information in real-decision theory. This paper examines the periodicity of probabilistic fuzzy information and extends the range from [ ] to the unit disc in the complex plane to provide more ability to describe the full meaning of the information in a mathematical model. Based on the internal structure of the set and to find the degree of discrimination between the pairs of PCHFSs, the generalized distance measures and modified generalized distance measures are defined. Several properties and their relationships between them are derived in detail. Also, several cases of the proposed measures are exposed, which reduces them to the existing studies. Furthermore, based on these proposed measures, a multiple-attribute decision-making (MADM) approach is established in an uncertain environment, and several numerical examples are given to examine the feasibility and validity of the explored measures. Finally, the modified and parameterized distance measures based on PCHFSs are verified by comparing them with some existing measures.
金融机构高度重视供应链金融中选择有效第三方物流（3PL）服务提供商的多属性决策（MADM）问题。合适的第三方物流服务提供商不仅可以协助金融机构开展供应链金融活动，还可以替代金融机构监督目标融资供应链的运营，从而将金融机构的运营风险降至最低。然而，关于第三方物流服务提供商的选择，目前尚无充分的研究。因此，本文的目的是建立一种创新的“概率复犹豫模糊集”（PCHFS）概念，它是复犹豫模糊集和概率模糊集的混合结构，用于处理实际决策理论中的复杂信息。本文研究了概率模糊信息的周期性，并将范围从[ ]扩展到复平面中的单位圆盘，以便在数学模型中更有能力描述信息的完整含义。基于该集合的内部结构，并为了找到概率复犹豫模糊集对之间的区分度，定义了广义距离测度和修正广义距离测度。详细推导了它们的几个性质及其相互关系。此外，还给出了所提测度的几个案例，将其简化为现有研究。此外，基于这些所提测度，在不确定环境中建立了一种多属性决策方法，并给出了几个数值例子来检验所探索测度的可行性和有效性。最后，通过与一些现有测度进行比较，验证了基于概率复犹豫模糊集的修正和参数化距离测度。
