Two-Stage Stochastic Multi-Criteria Group Decision Making for Wind-Photovoltaic-Hydropower Scheduling

Abstract

Scheduling of wind-photovoltaic-hydropower systems is a complex multi-objective collaborative problem which requires multi-criteria decision making (MCDM) to assist in formulating the most-preferred scheduling scheme. There are uncertainties existing in criteria weights (CWs) due to the limitations of the knowledge level of decision makers and the subjectivity of preferences. This paper proposes a two-stage stochastic multi-criteria group decision making model considering the uncertainties in the decision making environment and the progression of the decision making process. For the prophase decision making (the first stage), the stochastic multi-criteria acceptability analysis (SMAA) theory and the MCDM model VIKOR are combined to construct a SMAA-VIKOR model for inverse weight space analysis on the situation that the initial CW information is completely unknown. In the second stage of decision making, the decision makers are allowed to express their fuzzy preferences based on the information provided in the first stage by coupling the intuitionistic fuzzy analytic hierarchy process (IFAHP) into the SMAA-VIKOR model to obtain the final scheme. The case study results show that the model can quantify the impact of preference randomness and fuzziness on decision results and get more explicit ranking results, which effectively enhances the confidence of decision makers and improves decision making efficiency.

Keywords: stochastic multi-criteria decision making, SMAA, uncertainty, wind-photovoltaic-hydropower systems