基于时间依赖损失函数的决策粗糙集
Decision-theoretic rough sets based on time-dependent loss function
摘要：
决策论粗糙集的一个基本概念是损失函数的概念，它提供了一个强有力的工具来计算一对阈值，以作出最小成本的决策。本文对实际情况中经常遇到的随时间变化的损失函数进行了研究，根据贝叶斯决策过程，给出了阈值对与满足随时间变化的均匀分布和正态过程的损失函数之间的关系。随后，借助于模糊决策过程，我们给出了这对阈值和损失函数之间的关系，损失函数是时间依赖的区间集和模糊数。最后，通过实例说明了如何利用基于时间依赖损失函数的决策粗糙集理论计算决策阈值。
英文摘要：
A fundamental notion of decision-theoretic rough sets is the concept of loss functions, which provides a powerful tool of calculating a pair of thresholds for making a decision with a minimum cost. In this paper, time-dependent loss functions which are variations of the time are of interest because such functions are frequently encountered in practical situations, we present the relationship between the pair of thresholds and loss functions satisfying time-dependent uniform distributions and normal processes in light of bayesian decision procedure. Subsequently, with the aid of bayesian decision procedure, we provide the relationship between the pair of thresholds and loss functions which are time-dependent interval sets and fuzzy numbers. Finally, we employ several examples to illustrate that how to calculate the thresholds for making a decision by using time-dependent loss functions-based decision-theoretic rough sets.
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