基于公理模糊集理论的综合决策模型及其应用研究

Research on Comprehensive Decision-Making Model Based on Axiomatic Fuzzy Set Theory and Its Application

摘要: 多属性决策是现代管理科学领域的热点研究课题。现有方法大多存在共同的难题就是决策结果的不可解释性，从而导致决策结果有失科学性。本文在前期研究基础上，将具有独特优势的公理模糊集(AFS)理论与经典决策方法相结合，通过应用AFS模糊概念描述和聚类分析算法、数据包络分析(DEA)和TOPSIS构建一个多阶段的综合决策模型并通过处理企业供应商的选择问题来验证其科学性和实用性。此项研究既能加强公理模糊集理论的应用能力，也能为多属性决策问题的解决提供更有利的方法和工具。

Abstract: Multi-attribute decision-making is a hot research topic in the field of modern management science. Most of the existing methods have a common problem, that is the inexplicability of the deci-sion-making results, leading to the unscientific decision-making results. On the basis of previous research, this paper combines the axiomatic fuzzy set (AFS) theory with classical decision-making methods, builds a multi-stage comprehensive decision-making model by applying AFS clustering analysis algorithm, data envelopment analysis (DEA) and TOPSIS, and verifies its scientificity and practicability by dealing with the selection of enterprise suppliers. This research can not only strengthen the application ability of axiomatic fuzzy set theory, but also provide more favorable methods and tools for solving multi-attribute decision-making problems.