Assessing Criteria Weights by the Symmetry Point of Criterion (Novel SPC Method)–Application in the Efficiency Evaluation of the Mineral Deposit Multi-Criteria Partitioning Algorithm

Abstract

Information about the relative importance of each criterion or the weights of criteria can have a significant influence on the ultimate rank of alternatives. Accordingly, assessing the weights of criteria is a very important task in solving multi-criteria decision-making problems. Three methods are commonly used for assessing the weights of criteria: objective, subjective, and integrated methods. In this study, an objective approach is proposed to assess the weights of criteria, called SPC method (Symmetry Point of Criterion). This point enriches the criterion so that it is balanced and easy to implement in the process of the evaluation of its influence on decision-making. The SPC methodology is systematically presented and supported by detailed calculations related to an artificial example. To validate the developed method, we used our numerical example and calculated the weights of criteria by CRITIC, Entropy, Standard Deviation and MEREC methods. Comparative analysis between these methods and the SPC method reveals that the developed method is a very reliable objective way to determine the weights of criteria. Additionally, in this study, we proposed the application of SPC method to evaluate the efficiency of the multi-criteria partitioning algorithm. The main idea of the evaluation is based on the following fact: the greater the uniformity of the weights of criteria, the higher the efficiency of the partitioning algorithm. The research demonstrates that the SPC method can be applied to solving different multi-criteria problems.

The Multi-Criteria Decision-Making Method: Selection of Support Equipment for Classroom Instructors

“…-Even when using the same FUCA method for ranking alternatives, the rankings might differ when using different methods to determine the weights. This also aligns with statements made in various studies [17][18][19].…”

Integration of objective weighting methods for criteria and MCDM methods: application in material selection

“…The five methods used, including Entropy, MEREC, LOPCOW, CRITIC, and MEAN, only calculate the weights of criteria based on dry numerical values without considering the decision-maker's opinions regarding the importance among criteria. When wanting to consider the decision-maker's perspective on the importance of criteria while still ensuring an objective evaluation of the criteria, weights can be calculated using methods that combine subjective and objective aspects, known as combined weight methods such as the PIPRECIA method [35] and the SPC method [36].…”

Evaluation of Smart Sensors for Subway Electric Motor Escalators through AHP-Gaussian Method

“…It is possible to investigate the recent fuzzy approach through PyIFDM [99], Fuzzy TO-PSIS [100], F-SWARA'B, and F-CoCoSo'B, [101] Ct-SFS [102], and SFAHP [103] for similar applications. Other recent methods or frameworks such as SVN-COPRAS, SVN-TOPSIS [104], IVIF MULTIMOORACOPRAS [105], AHP-COPRAS [106], SAPEVO-H 2 [107], ECOPRAS [108], SPC [109], TOPANSIS [110], MPSI-MARA [111], MEREC-MARCOS [112], or PROMETHEE-SAPEVO-M1 [113] are examples of models that could be evaluated for adherence to this application, seeking comparative results and different analyses.…”