Intuitionistic multiplicative analytic hierarchy process in group decision making
Intuitionistic multiplicative analytic hierarchy process in group decision making
复制标题
群体决策中的直觉乘法层次分析法
DOI：
10.1016/j.cie.2016.09.025
复制
发表时间：
2016-11-01
影响因子：
7.9
通讯作者：
Liao, Huchang
中科院分区：
文献类型：
--
作者：
Ren, Peijia;Xu, Zeshui;Liao, Huchang
层次分析法(AHP)通过将问题组织成多层递阶结构来分析复杂决策，是一种简单而又流行的决策技术，广泛应用于各个决策领域。但它不足以处理不确定的决策问题。利用直觉乘性信息在刻画问题的模糊性方面的优势，将直觉乘性信息扩展到AHP中，以增强AHP处理各种决策问题的能力。我们首先证明了直觉乘法加权几何聚集(IMWGA)算子具有良好的性质，以保证当所有个体IMPR一致时，全局直觉乘法偏好关系(IMR)是一致的。在此基础上，给出了解决群体决策问题的直观乘法层次分析法的全过程，包括调整个体IMPR、集结个体IMPR和从整体IMR中求取优先级。最后，以水电站绩效评价为例，说明了群直观乘性层次分析法的有效性和适用性。(C)2016爱思唯尔有限公司。保留所有权利。
Analytic Hierarchy Process (AHP), which analyzes complex decisions by organizing the problems into a multilayer hierarchic structure, is a simple yet popular decision technique used extensively in every decision field. But it is inadequate to handle the uncertain decision making problems. Taking advantage of intuitionistic multiplicative information in portraying the vagueness of problems with Saaty's 1/9-9 scale, in this paper, we extend the intuitionistic multiplicative information into AHP to enhance the ability of AHP in tackling various decision making problems. We first verify that the intuitionistic multiplicative weighted geometric aggregation (IMWGA) operator has desirable characteristics to guarantee that the overall intuitionistic multiplicative preference relation (IMPR) is consistent when all individual IMPRs are consistent. Then, we provide a whole procedure of intuitionistic multiplicative analytic hierarchy process for solving group decision making problems, including adjusting the individual IMPRs, aggregating the individual IMPRs and deriving the priorities from the overall IMPR. Finally, we present an example concerning the performance assessments of the hydropower stations to illustrate the effectiveness and applicability of the group intuitionistic multiplicative analytic hierarchy process. (C) 2016 Elsevier Ltd. All rights reserved.