模糊语言信息集成与决策分析

The Aggregation of Fuzzy Linguistic Information and Decision Making

人类语言中存在着大量没有精确边界的模糊表达,建立适当的模型对于研究人类语言内涵和行为特征至关重要.模糊语言学是模糊集合论与现代语言学相结合形成的一门新兴交叉学科,对于自然语言的科学处理乃至信息提取和决策支持都有着重要价值.文章旨在拓展模糊语言和科学决策之间的联接桥梁,具体而言提出了语言概率犹豫模糊集(LPHFS),定义了相关的基本运算法则,给出了语言概率犹豫模糊集上的幂均算子,并从信息聚合的角度提出了一种决策分析模型.最后以艺术品投资价值为例证实了模型的有效性.

In human language,there are plenty of fuzzy conceptions without exact bound,thus it is vital to establish some reasonable models for the investigations about human behaviors.Fuzzy linguistic is an emerging interdisciplinary,with an integration of fuzzy set theory and modern linguistics,and plays an important role in the handling of natural language,information extraction and decision support.The work attempts to bridge the extended fuzzy linguistics and scientific decision making.In this paper,we propose the linguistic probabilistic hesitant fuzzy set(LPHFS),and define some operations for these sets.Then the power average operator for LPHFSs are presented and a model for decision making on the perspective of information aggregation is developed.In the end,an illustrative example about the assessment of the investment on works of art shows the validity of the model.