Abstract: In the process of production, the product-mix strategy problem is one of the most critical aspects for resolving preliminary production plans, and it plays a key role in realizing the optimal objective of production. In order to tackle the problem efficiently, this paper proposed a model using the product-mix strategy of target close degree based on rough set and fuzzy matter-element theory. From the perspective of internal relations of products, fuzzy matter-element is used to calculate the membership degree firstly. Then, a model of product-mix strategy based on rough set and entropy weight was set up. Besides, the analytic hierarchy process is used to correct the target close degree. Finally, the model is used to study the close degree between each multiple product-mix strategy and find out the best way of product-mix strategy. The result shows that the model can find the internal relations of products effectively. Taking 2-products-mix for example, this model enables the enterprise to put forward a more optimal 2-product-mix strategy than other traditional methods, which indicates that the model is a better way to realize the optimal objective of production and decision-making reference.

Key words: rough set theory, fuzzy matter-element, target close degree, product-mix, entropy weight

摘要： 在企业实际生产过程中,产品组合生产配置问题是企业制定生产计划时需要解决的首要问题,为了协助企业处理产品组合生产配置问题,提出了一种基于粗集复合模糊物元的多产品组合生产目标贴近度的方法。该方法以产品与产品之间的内在关系为切入点,运用复合模糊物元确定各指标的从优隶属度,构建粗集理论和熵权法对各产品组合配置的生产目标贴近度研究模型,并运用层次分析法对各产品组合生产目标贴近度进行修正。最后,运用该方法对某企业多产品组合配置方案的生产目标贴近度进行了研究分析。研究结果表明,该模型能够有效挖掘产品与产品与产品间的内在关系,以两产品组合配置问题为例,帮组企业确定了两产品组合最优配置方案,并通过与传统产品组合配置选择方法进行比较,说明该模型能够更加有效地实现企业多产品组合生产管理最优目标并提供决策参考。

关键词: 粗集理论, 复合模糊物元, 目标贴近度, 产品组合, 熵权