Abstract In this study, authors present the results of multi-objective optimization of parameters of osmotic dehydration of plum and its storage conditions. Multi-objective optimization is a method of multiple criteria decision making involving more than one objective function to be optimized simultaneously. The objective functions are conflicting and an infinite number of Pareto optimal solutions are possible. A solution is Pareto optimal if none of the objective functions can be improved in value without degrading some of the other objective values. All Pareto optimal solutions are considered equally good, the choice is subjective. To limit subjectivism the Utopian point method and Multidimensional Euclidean metrics was applied. The idea is to minimize the distance between the non-existing Utopian solution and Pareto-optimal solutions. This approach is offered in relation to the cost of osmotic solution, time of dehydration process, and duration of storage by considering the following factors: content of dry mass, reducing sugars, and extract, as well as the amount leak after thawing. Authors made the choice of minimizing cost with simultaneous maximization of quality of the product. Pareto-optimal solutions were obtained with the use of MATLAB program. Furthermore, the method of multidimensional Euclidean preferences was applied to find the set of best parameters for the production process. Two sets of results were obtained. First is the set of optimal process parameters is in relation to cost minimizing: concentration of an osmotic solution: 0.55%; time of osmotic draining:, 1 h 42 min; time of the cold storage: 6 months; and the method of thawing: microwave. Second set is focused on quality and process parameters are: the concentration of an osmotic solution: 0.65%; time of osmotic draining:3 h; time of the cold storage: 5 months and 21 days; method of thawing: microwave.

中文翻译：

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基于乌托邦点法的多目标优化应用于李子渗透脱水及其贮藏案例研究

摘要 在这项研究中，作者介绍了李子渗透脱水参数及其储存条件的多目标优化结果。多目标优化是一种涉及多个目标函数同时优化的多准则决策方法。目标函数相互冲突，可能有无数个帕累托最优解。如果在不降低其他一些目标值的情况下，没有一个目标函数的值可以提高，则解决方案是帕累托最优的。所有帕累托最优解都被认为是同样好的，选择是主观的。为了限制主观主义，应用了乌托邦点法和多维欧几里德度量。这个想法是最小化不存在的乌托邦解决方案和帕累托最优解决方案之间的距离。这种方法是通过考虑以下因素来考虑渗透溶液的成本、脱水过程的时间和储存时间的：干物质的含量、还原糖和提取物的含量，以及解冻后的泄漏量。作者做出了在最大限度地提高产品质量的同时最大限度地降低成本的选择。使用MATLAB程序获得帕累托最优解。此外，应用多维欧几里得偏好的方法来寻找生产过程的最佳参数集。得到两组结果。首先是一组与成本最小化相关的最佳工艺参数：渗透溶液的浓度：0.55%；渗透引流时间：1小时42分钟；冷藏时间：6个月；解冻方法：微波。第二套重点是质量和工艺参数是：渗透溶液的浓度：0.65%；渗透引流时间：3 h；冷藏时间：5个月零21天；解冻方法：微波炉。