This model enhances scheme optimization by incorporating tolerance intervals and quartile methods for indicators in dam construction.
The optimal selection of high-arch dam construction schemes involves multi-dimensional indicators. In addition to clear one-way optimization indicators such as construction period and cost, there are also indicators with ambiguous optimization directions. Such indicators are influenced by factors like actual engineering conditions and experience from similar projects, and they have an optimal interval for their value range, which is referred to as “moderate indicators”. However, in most comprehensive evaluation models, the standardization of such indicators is plagued by overly simplistic processing methods and excessive subjective factors. To address the interval optimality of moderate indicators, this paper proposes the concepts of “optimal interval” and “tolerance interval”. By analyzing the distribution characteristics of indicators and combining them with the characteristics of construction simulation calculations, the quartile method and comprehensive weighting method are adopted to determine the subjective and objective interval ranges. Based on the concept of relative membership degree, these intervals are processed as standardized results and incorporated into the comprehensive evaluation system. Accordingly, a multi-attribute decision-making model for high arch dams considering moderate indicators is proposed. This method was verified in the decision-making process for the construction scheme of the TR Double Curved Arch Dam project. Compared with the traditional Ranking Alternatives by Distance from Average Solution (RADAR) method that adopts the vector normalization method, this model enhances the anti-interference ability against the volatility of moderate indicators, improves the accuracy of scheme optimization, and obtains the priority ranking of each alternative scheme.
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Zhang et al. (2025) studied this question.
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