Under the double pressure of global energy tightening and energy saving, new renewable energy sources, especially offshore wind power, have become considerably popular. To promote the development of offshore wind power projects, there has been an urgent push towards the research on selecting a satisfactory offshore wind power station site. However, existing methods have ignored the consensus problem embedded in the selection process. With the aim of addressing this issue, we devote our effort to developing a consensus decision framework. To this end, we employ the picture fuzzy set (PFS) to collect and describe large amounts of uncertain evaluation information for distinctive sites. Then, some relative projection models for PFSs are developed to support the determination of importance weights of groups of decision makers who are invited to evaluate the performance of alternative sites. Subsequently, a consensus reaching process is presented to guarantee that each group is satisfied with the final selection. Finally, the classical technique for order preference by similarity to an ideal solution method is extended to reasonably select the most suitable site without a subjective supply for criteria weights. A case study on the location selection of offshore wind power station illustrates the validity and applicability of the framework. Through this work, we believe that the models and methods in different phases of our framework can be valuably applicable to similar problems and significantly beneficial to the promotion of PFS theory.

在全球能源紧缩和节能的双重压力下，新的可再生能源，特别是海上风电已变得相当受欢迎。为了促进海上风力发电项目的发展，已经迫切地进行了关于选择令人满意的海上风力发电站的研究。但是，现有方法忽略了选择过程中嵌入的共识问题。为了解决这个问题，我们致力于开发共识决策框架。为此，我们采用图片模糊集（PFS）来收集和描述针对不同站点的大量不确定评估信息。然后，开发了一些PFS的相对投影模型，以支持确定受邀评估替代站点性能的决策者群体的重要性权重。随后，提出了达成共识的过程，以确保每个小组都对最终选择感到满意。最终，通过类似于理想解决方法的顺序偏好的经典技术被扩展为可以合理地选择最合适的站点，而无需主观提供标准权重。以海上风电场选址为例，说明了该框架的有效性和适用性。通过这项工作，