信息不完全确定的多准则直觉模糊决策方法.pdfVIP

信息不完全确定的多准则直觉模糊决策方法 王坚强 （中南大学商学院，湖南长沙 410083 ） 摘 要：针对权系数信息不完全确定和准则值为直觉模糊集的多准则决策问题，利用证据推理算法提出了一 种多准则排序方法。该方法利用证据推理算法对准则进行集成，得到各方案的直觉模糊集，计算各方案与理想方 案和负理想方案的距离，并结合不完全确定的准则权系数信息建立非线性规划模型，通过粒子群算法求解所得优 化模型，得出最优准则权系数，通过比较方案的直觉模糊集或方案的直觉模糊集与理想方案和负理想方案的距离， 得到整个方案集的排序。最后实例说明该方法的有效性和可行性。 关键词：多准则决策；直觉模糊集；证据推理；信息不完全确定；粒子群算法 中图分类号：C934 文献标识码：A A Multi-criteria Intuitionistic Fuzzy Decision-making Approach with Incomplete certain Information Wang Jian-qiang （School of Business ， Central South University，Changsha ， 410083 ，China） Abstract: For multi-criteria decision-making problems, in which the information on the criteria’s weights is incomplete certain and criteria’s values is intuitionistic fuzzy set, a multi-criteria ranking method based on evidential reasoning is proposed. Using evidential reasoning algorithms, the criteria values are aggregated, and intuitionistic fuzzy set of alternatives are attained, and the distances between alternatives and idea /anti-idea alternatives are computed. Considering the incomplete certain information on weights, a nonlinear programming model is developed. Then using particle swarm optimization algorithms to solve the nonlinear programming models, the optimal criteria’s weights are gained. And ranking is performed through the comparison of the intuitionistic fuzzy set of alternatives or the distances between the alternatives and idea/anti-idea alternative. Finally, an example is given to explain the feasibility and availability of this method. Keywords: multi-criteria decision-making; intuitionistic fuzzy set; evidential reasoning; incompl