基于优序关系的犹豫模糊语言多准则决策方法

犹豫模糊语言集是语言集和犹豫模糊集的扩展,受传统Electre方法的启发,构建基于优序关系的犹豫模糊语言多准则决策方法. 首先,给出犹豫模糊语言数的Hausdorff距离公式;然后,基于每一准则下方案评价的对比,建立犹豫模糊语言数的优序关系,并在此基础上,提出一种基于优序关系的犹豫模糊语言多准则决策方法;最后,通过算例表明了所提出方法的有效性和可行性.

Method for multi-criteria decision-making with hesitant fuzzy linguistic based on outranking relation

Hesitant fuzzy linguistic sets is an extension of both linguistic term sets and hesitant fuzzy sets. Motivated by the idea of traditional Electre methods, an Electre method for hesitant fuzzy linguistic information is introduced. Firstly, the Hausdorff distance of hesitant fuzzy linguistic numbers are proposed. Then, the outranking relation for hesitant fuzzy linguistic numbers under each criterion is developed, based on which, a method for hesitant fuzzy linguistic multi-criteria decision-making based on the outranking relation is proposed. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the proposed method.