基于相似度的区间二型模糊多准则群决策方法

Multi-criteria group decision making of interval type-2 fuzzy number based on similarity

针对准则权重信息完全的区间二型模糊多准则群决策问题,提出了相似度测量方法以及基于区间二型模糊数相似度的决策方法。该方法首先通过区间二型模糊数的集结算子计算出方案的综合准则值,根据期望值对综合准则值进行比较后确定出正、负理想方案,然后计算各方案分别和正、负理想方案之间的相似度,进一步求出贴近度系数后从而得到方案的排序。最后,算例分析表明了该方法的有效性和可行性。

A new method is proposed to handle the multi-criteria group decision making with complete infor- mation based on the similarity of interval type-2 fuzzy numbers. First, the overall values of all alternatives are calculated by type-2 aggregation operators. Second, both positive and negative ideal points are determined based on the expected value function. The similarity coefficients are calculated from the alternatives to those ideal points respectively, and the ranking result of all alternatives is obtained. Finally, a numerical example is em- ployed to show the efficiency and feasibility of the developed method.