International Conference on Mathematical Advances and Applications 2025 - ICOMAA 2025, İstanbul, Türkiye, 7 - 09 Mayıs 2025, ss.1-9, (Tam Metin Bildiri)
In this paper, the interval-valued probabilistic hesitant fuzzy set is used to express the uncertainty of information adequately, and the cloud model serves as a tool for dealing with the randomness of information. Therefore, a decision-making method is proposed based on an interval-valued probabilistic hesitant fuzzy set and cloud model. We will start by giving an interval-valued probabilistic hesitant fuzzy cloud that can subjectively resolve decision uncertainty and objectively address the randomness of decision-making. Then, a hybrid correlation coefficient based on an interval-valued probabilistic hesitant fuzzy set will be advanced to reduce the complexity of decision-making through hierarchical clustering. Thirdly, a bi-directional trust model based on an interval-valued probabilistic hesitant fuzzy integrated cloud is put forward to solve information conflict.