信息不完全确定的多准则区间直觉模糊决策方法  

Multi-criteria Interval Intuitionistic Fuzzy Decision-making Approach with Incomplete Certain Information

作　　者：王坚强[1] 

机构地区：[1]中南大学商学院,长沙410083

出　　处：《控制与决策》2006年第11期1253-1256,1263,共5页Control and Decision

基　　金：国家自然科学基金项目(70572060);博士点基金项目(2004053357);湖南省社科基金项目(05YB74)

摘　　要：提出了一种权系数信息不完全确定且准则值为区间直觉模糊集的多准则排序方法.该方法利用证据推理算法对准则进行集成,得到各方案的区间直觉模糊集,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权系数信息建立非线性规划模型,利用粒子群算法求解所得优化模型,得出最优准则权系数,通过比较方案的区间直觉模糊集与理想方案和负理想方案的距离,得到方案集的排序.最后的数值算例说明了该方法的有效性和可行性.A multi-criteria ranking method is proposed in which the information on the criteria＇s weights is incomplete certain and criteria＇s values is interval intuitionistic fuzzy set. Using evidential reasoning algorithms, the criteria values are aggregated, and the interval intuitionistic fuzzy sets of alternatives are abtained. The distances between alternatives and idea /anti-idea alternatives are computed. Considering the incomplete certain information on weights, a nonlinear programming model is developed. By using particle swarm optimization algorithms to solve the nonlinear programming models, the optimal criteria weights are gained. And ranking is performed through the comparison of the distances between the alternatives and idea/anti-idea alternative. Finally, an example shows the feasibility and availability of this method.

关 键 词：多准则决策 区间直觉模糊集 证据推理 信息不完全确定 粒子群算法 

分 类 号：C934[经济管理—管理学]