Vague软集的新模糊熵及其应用

摘要

依据软集、Vague集、Vague软集现有理论，参考Vague集模糊熵度量方法，对Vague 软集模糊熵的公理化定义进行了补充，修正了原有公理化定义中不完整的地方；提出了一种新的计算Vague 软集模糊熵的公式，并给出了其在决策中的应用实例及分析。实例分析表明该Vague 软集模糊熵公式具有良好的应用效果。%Based on the existing theories of soft sets, Vague sets and Vague soft sets, referencing on measurement methods of Vague entropy, the paper improves the axiomatic definition of entropy of Vague soft sets by adding a new rule that original axiomatic definition is not involved in meantime. Compared with the previous one, a new entropy measurement method of Vague soft sets is presented, and its application into decision-making is given also, which demonstrates good performance of the new entropy of Vague soft sets.