A variety of clustering criteria has been applied as an objective function in Evolutionary Multi-Objective Clustering approaches (EMOCs). However, most EMOCs do not provide detailed analysis regarding the choice and usage of the objective functions. Aiming to support a better choice and definition of the objectives in the EMOCs, this paper proposes an analysis of the admissibility of the clustering criteria in evolutionary optimization by examining the search direction and its potential in finding optimal results. As a result, we demonstrate how the admissibility of the objective functions can influence the optimization. Furthermore, we provide insights regarding the combinations and usage of the clustering criteria in the EMOCs.

翻译：在 " 进化多目标集群办法 " 中,应用了各种各样的集群标准,作为客观功能,然而,大多数企业经营中心没有就客观功能的选择和使用提供详细分析。为了支持更好地选择和界定企业经营中心的目标,本文件建议通过审查搜索方向及其在寻找最佳结果方面的潜力,分析集群标准在进化优化中的可接受性。结果,我们表明客观功能的可接受性如何影响优化。此外,我们提供了关于电子经营中心集群标准的组合和使用情况的见解。