支持多群组协同决策的广义犹豫模糊TOPSIS关键技术与求解途径及其应用

The multi-group collaborative decision-making (MGCDM) problem possesses widely practical applications at the present age and yet its existing theory and methodology are effectively not capable of solving it. Investigating the decision making methods for supporting MGCDM with the generalized hesitant fuzzy (GHF) set, the newest contribution of fuzzy theory, is a novel research direction in the decision science field, and so is prospective and explorative. The main purpose of this project is to investigate MGCDM methodology under the TOPSIS framework. First systematically and completely studies the key techniques of GHF-TOPSIS methodology and then proposes (1) six kinds of pretreatment approaches of GHF decision matrix, (2) a parameterized approach considering the DMs' aspiration intensity for generating the GHF ideal resolutions, (3) three families of distance measures of GHF sets based on respectively the geometric, the set-theoretic and the information-theoretic construction perspectives, and so on. Next, after the decision process of the group TOPSIS is cracked and re-combed, we plan to rebuild and establish respectively the GHF-TOPSIS methodology with multiple solution procedures for four representative organizational structures of multiple groups that are the independent, the dependent, the hierarchical and the linear progressive to realize the support for MGCDM. Finally these researches are used to solve the decision problems related to the development of smart tourist cities. The work can enrich and perfect the theory of the MGCDM, upgrade and enhance the TOPSIS methodology, and extend the application level of the GHF set theory.

多群组协同决策(MGCDM)是一类当今具有广泛实际背景却现有理论和方法未能很好解决的问题。应用模糊集最新成果的广义犹豫模糊(GHF)集理论研究支持MGCDM的群决策方法是当前决策科学领域发展的新动向，具有前瞻性和探索性。本项目以TOPSIS为建构基础对该类问题展开研究，先系统研究GHF-TOPSIS的关键技术并继而提出(1)六种不同准则类型的GHF决策矩阵预处理方法，(2)一类反映决策者愿望强度的含参GHF理想解生成方法，(3) 三族分别基于几何、集论和信论思想的GHF距离等。进而，在对群体TOPSIS破解和重梳后，重塑并建立独立型、关联型、递阶层次型和流线递进型四种典型多群组织结构的、多种求解途径并存的群体GHF-TOPSIS体系，实现对MGCDM的支持。最后将其应用于智慧旅游城市建设中的决策问题。本研究将丰富和发展MGCDM理论，厚植TOPSIS方法体系和提升GHF集理论的应用层次。

多群组协同决策(MGCDM)有着广泛实际背景但现有理论和方法对其支持度不够。本研究在城市系统治理，云计算管理，企业、产品和服务管理三领域中涉及多群组决策的前沿和热点问题为背景，以TOPSIS为建构基础，应用广义犹豫模糊(GHF)集理论系统深入地研究了对其支持MGCDM的决策方法。先系统研究GHF-TOPSIS的关键技术并继而提出了(1)六种不同准则类型的GHF决策矩阵预处理的线性和非线性方法，尤其提出了一些具有奖惩功能的方法。(2)两种含参可调的GHF理想解生成方法，一种多重理想解生成方法，和几种复合理想解生成方法。(3) 分别基于几何、集论和信论思想的15种GHF距离等。进而，在对群体TOPSIS破解和重梳后，重塑后，结合领域具体问题评价目标与特点，采用了IPA，Kano，BSC，PSR等框架模型，以及Taguchi系统，感性(Kansei)工学等理论，建立了多套评价指标体系，进而为之设计了相应的MGCDM求解途径，并展开的大量实证研究和分析讨论。本项目在领域问题中研究形成的以TOPSIS为架构以犹豫模糊集为群组评价信息的MGCDM方法体系，丰富和发展了MGCDM理论，提升了GHF集理论的应用层次和厚植了TOPSIS方法体系。经四年的系统深入研究，取得了丰硕的研究结果，圆满完成了预期研究目标和任务。共形成了54篇学术论文(48篇已公开发表，46篇以本项目(71861018)为第一标注)，出版学术专著1部。在该课题的支撑下课题组成员2人入选了云南省高层次人才计划，3人职称得到晋升，1人取得博士学位。培养了硕博研究生28名，已毕业的研究生中有6名继续攻博。经费使用合理。