## 1 Introduction
For example, in Reference [30], considering the influence of diverse customers' preferences on attribute weights, a variable-weight SIR method suitable for uncertain environments was introduced. In Reference [31], the POMETHEE method was extended, leading to the proposition of the SIR method, which establishes a superiority-inferiority matrix by directly comparing the magnitudes of scheme evaluation values and determines the partial or full ranking of all schemes through an appropriate multi-attribute information processing method. In Reference [32], the Hesitant Fuzzy Linguistic Term Set [33] was employed to describe customers' linguistic preferences, expanding the application of the SIR method in uncertain language environments. Furthermore, the SIR method has been extensively applied and expanded in areas such as equipment supply [34], financial accounting [35], and enterprise management [36]. Therefore, incorporating the extended SIR method into the decision-making process for electricity sale packages is a prudent choice. Moreover, the application of the Choquet integral is prevalent in MADM problems. Given the uncertainty and complexity of real-world decision-making environments, attributes may exhibit correlations, and the Choquet integral is predominantly used to address these inter-attribute correlations. For instance, in Reference [37], using the Choquet integral, the attribute correlation issue in the evaluation of innovation cooperation was analyzed, and a group decision-making method for ranking the superiority and inferiority of intuitionistic fuzzy sets based on the Choquet integral was proposed for partner selection. In Reference [38], targeting the coexistence of qualitative indicators and indicator interactions in multi-objective decision-making, the Fuzzy Grey Choquet Integral method was introduced, combining fuzzy measures, the Choquet integral, and gray relational degree with solutions derived through an intelligent algorithm. In Reference [39], addressing the hybrid MADM problem involving attribute interactions and exact numbers, interval gray numbers, intuitionistic fuzzy numbers, hesitant fuzzy numbers, and language variables as attribute values, a hybrid information gray relational decision-making method based on the two-additive Choquet integral was proposed. In Reference [40], for intuitionistic language MADM problems with attribute correlations, a multi-attribute group decision-making method of intuitionistic language TODIM based on the Choquet integral was introduced. In Reference [41], by incorporating the Choquet integral aggregation operator, a numerical issue in picture fuzzy MADM was resolved. In Reference [42], recognizing the prevalence of information fuzziness, attribute correlations, and individual preference differences in real-world MADM scenarios, an SIR MGDM method based on the Choquet integral and the Prospect Theory was proposed. Considering the electricity sale package recommendation problem, customers are often unfamiliar with all packages and their attributes. Additionally, customers' psychological behavioral factors and the uncertainty of objective information in the decision-making process are overlooked. By integrating the refined Prospect Theory, the extended SIR method, and the Choquet integral, an electricity sale package recommendation method is constructed. In summary, electricity sale companies urgently need to address the following challenges: improving the accuracy and efficiency of customer clustering, establishing and refining customer profiles, accurately depicting customer decision-making information, equalizing evaluation information across different granularities, enhancing the practicality and accuracy of electricity sale package recommendation algorithms, and precisely recommending electricity sale packages to customers. For this reason, this paper proposes a new electricity sale package recommendation method--a recommendation method for electricity sale packages based on prospect strengths and weaknesses degree and the Choquet integral.