基于犹豫模糊语言信息的定性决策理论与方法

As it is based on linguistic expressions, the hesitant fuzzy linguistic term set (HFLTS) can be used to represent decision makers' preference flexibly and comprehensively. It can be applied to supply chain management, shipping logistics management, e-learning, human resource management, project management, fuzzy control, pattern recognition, medical diagnosis, the national strategic decision-making, and many other areas. The aim of this project is to build the theoretical framework of qualitative decision making theory based on hesitant fuzzy linguistic information and implement these theory and methodologies into practical decision making circumstances. The project involves the following parts: (1)study the information fusion methodologies for HFLTSs and propose a family of novel aggregation operators to aid decision making; (2)construct the measurement theory for HFLTSs, including the distance measures, the similarity measures, the correlation measures, the entropy measures, etc., and then implement these measures into decision making models; (3) propose the hesitant fuzzy linguistic preference relation (HFLPR) theory, which includes the consistency checking and inconsistency repairing algorithms, the priority derivation methods, the inducing methods for incompleted hesitant fuzzy linguistic preference relations and the group consensus reaching processes; (4) develop some decision making methods based on HFLTSs, such as the interactive decision making method, the PROMETHEE method, the evidence reasoning method, etc.; (5) implement these research results to practical decision making problems. Our results are predicted to be published in some well-known international journals (twelves international journal papers, and one book).

犹豫模糊语言集以语言表达为基础，能够灵活、全面地反映决策者的真实偏好，其在供应链管理、航运物流管理、电子学习、人力资源管理、工程管理、模糊控制、模式识别、医疗诊断、国家战略决策等多个方面都具有广泛的应用前景。本项目将系统深入地研究基于犹豫模糊语言信息的定性决策理论与方法，具体包括：研究犹豫模糊语言信息的融合方法，提出全新的融合算子来辅助决策；丰富和完善犹豫模糊语言信息的测度理论，并将这些测度应用于决策模型；系统地研究犹豫模糊语言的偏好关系理论，重点研究犹豫模糊偏好关系的一致性检验和非一致性修正算法、优先权生成算法、残缺犹豫模糊语言偏好关系的演化方法、以及群体共识的达成算法等；引入基于犹豫模糊语言信息的新的决策方法，如犹豫模糊语言交互式决策方法、犹豫模糊语言PROMETHEE方法、证据推理算法等；将上述研究成果应用到实际的决策问题中。预期在国际知名期刊发表学术论文12篇，并出版专著1部。

以语言表达式为特征的犹豫模糊语言集为表征不确定问题提供了很好的解决方法。本项目提出了犹豫模糊语言决策信息的一系列新的信息融合算子，并把这些算子应用于实际的定性多属性决策问题和群体决策问题中；系统地构建了犹豫模糊语言信息的测度理论体系，并把测度方法应用于实际的决策问题中；系统地提出了犹豫模糊语言偏好关系的一致性检验方法和非一致性的修正方法；阐述了将残缺犹豫模糊语言偏好关系转换为完全犹豫模糊语言偏好关系的途径；构建了犹豫模糊语言层次分析法和网络分析法的理论框架；提出群体犹豫模糊语言偏好的共识测度和共识达成算法；提出了犹豫模糊语言的PROMETHEE方法；提出了求解含有犹豫模糊语言信息的群体决策问题的决策方法；给出了偏好信息为不同数据形式的多源异质问题的决策方法。并将理论知识应用于医疗管理、水资源管理、商店选址和品牌评估等领域。经过三年的研究，本项目出版专著3部，发表论文65篇，其中SCI/SSCI论文57篇，EI论文8篇。