Enhancing relative ratio method for MCDM via attitudinal distance measures of interval-valued hesitant fuzzy sets
Enhancing relative ratio method for MCDM via attitudinal distance measures of interval-valued hesitant fuzzy sets
复制标题
基于区间值犹豫模糊集态度距离测度的MCDM增强相对比法
DOI：
10.1007/s13042-016-0510-6
复制
发表时间：
2016-02
影响因子：
5.6
通讯作者：
Hua Wang
中科院分区：
文献类型：
--
作者：
Ding-Hong Peng;Tie-Dan Wang;Chang-Yuan Gao;Hua Wang
针对区间值犹豫模糊环境下的多准则决策问题，提出了一种增强的相对比率（RR）方法。首先，定义了一个犹豫模糊COWA算子，在此基础上构建了两个ivhfe之间的态度距离测度，并在此基础上建立了两个ivhfe（或两个ivhfs）集合之间的加权（包括加权、有序加权和协同加权）态度距离测度。这些措施既能减轻操作负荷，又能有效避免信息丢失和失真，反映决策人员在计算过程中的决策态度。其次，在相对比率法的框架下，利用态度距离测度建立了一种增强的区间值犹豫模糊相对比率法，该方法遵循折衷原则，即所选方案与正理想解的距离最短，与负理想解的距离最大。所建立的方法考虑了决策者的态度特征，为区间犹豫模糊设置下的模糊MCDM问题提供了一种非常灵活实用的方法。此外，在方法中还介绍了确定区间犹豫模糊正/负理想解的几种方法。最后，以流域生态风险评价为例，说明了该方法的实施过程和适用性，并与四种类似方法进行了比较。
This paper is devoted to develop an enhanced relative ratio (RR) method for tackling with multi-criteria decision making (MCDM) problem in interval-valued hesitant fuzzy setting. First, a hesitant fuzzy COWA operator is defined, based on which we construct an attitudinal distance measure between two IVHFEs and develop subsequently (three) some weighted (including weighted, ordered weighted and synergetic weighted) attitudinal distance measures between two collections of (for) IVHFEs (or two IVHFSs). The measures can not only alleviate the operational load, but also efficiently avoid information loss and distortion, as well as reflect the DMs’ decision attitude in the computing process. Next, under the framework of relative ratio method, we use the attitudinal distance measures to establish an enhanced interval-valued hesitant fuzzy relative ratio method, which adheres to the principle of compromise that the chosen alternative should have the shortest distance from the positive ideal solution and the greatest distance from the negative one simultaneously, to range alternatives. The established method provides us a very flexible and useful way to deal with fuzzy MCDM problems under interval-valued hesitant fuzzy setting for it considers the DMs’ attitudinal character. Moreover, in the methodology, several approaches for determining the interval-valued hesitant fuzzy positive/negative ideal solutions are introduced. Finally, the implementation process and the applicability of our method are illustrated by a real example concerning watershed ecological risk evaluation, and comparisons are made with the four similar methods.
登录
查看更多内容
影响因子：
7
作者：
Beg, Ismat;Rashid, Tabasam
通讯作者：
Rashid, Tabasam
多准则决策分析的OWA-TOPSIS方法
影响因子：
8.5
作者：
Chen, Ye;Li, Kevin W.;Liu, Si-feng
通讯作者：
Liu, Si-feng
DOI：
10.1007/978-3-540-88906-9_3
发表时间：
2008-11
期刊：
--
影响因子：
--
作者：
Zeshui Xu
通讯作者：
Zeshui Xu
影响因子：
7
作者：
Rodriguez, R. M.;Martinez, L.;Herrera, F.
通讯作者：
Herrera, F.
影响因子：
11.9
作者：
A. Hadi-Vencheh;M. Mirjaberi
通讯作者：
A. Hadi-Vencheh;M. Mirjaberi