网络出版地址：http://www.cnki.net/kcms/detail/23.1538.TP.20150302.1105.001.html

一种带有属性偏好的模糊多属性决策方法

吕智颖1,2, 黄天民1,梁学章3

(1.西南交通大学 数学学院，四川 成都 610031； 2. 齐齐哈尔大学 理学院，黑龙江 齐齐哈尔 161006； 3. 吉林大学 数学学院，吉林 长春 130012)

摘要：结合投资决策的特点给出了一种模糊多属性决策方法, 其中属性偏好信息以若干个互补判断矩阵形式给出，属性值为梯形模糊数。该方法能充分挖掘判断矩阵的特征信息，给出了互补判断矩阵相似度和属性优势度的定义，从而确定专家权重和属性权重。基于梯形模糊数外接圆的圆心与原点之间所形成的矩形面积来对模糊数排序的方法对方案进行排序和择优。通过对服务行业的项目评估问题说明该方法是求解模糊多属性决策问题的一种有效的工具,并且操作简便、易于在计算机上实现。

关键词：多属性决策；梯形模糊数；互补判断矩阵；相似接近度；优先度指数; 投资决策

DOI:10.3969/j.issn.1673-4785.201312036

中图分类号：TP18;O159 文献标志码：A

收稿日期：2014-04-01. 网络出版日期：2015-03-02.

基金项目：国家自然科学基金资助项目(11271041); 中央高校科研业务费专项资金资助项目(swjtu11ZT29).

作者简介：

中文引用格式：吕智颖,黄天民,梁学章. 一种带有属性偏好的模糊多属性决策方法[J]. 智能系统学报， 2015, 10(2): 227-233.

英文引用格式：Lyu Zhiying， HUANG Tianmin，LIANG Xuezhang. A method for fuzzy multi-attribute decision-making with preference to attribute[J]. CAAI Transactions on Intelligent Systems, 2015, 10(2): 227-233.

A method for fuzzy multi-attribute decision-making with

preference to attribute

LYU Zhiying1,2， HUANG Tianmin1， LIANG Xuezhang3

(1. College of Mathematics, Southwest Jiaotong University, Chengdu 610031, China; 2. Department of Mathematics, Qiqihar University, Qiqihar 161006, China； 3.College of Mathematics, Jilin University, Changchun 130012, China)

Abstract：In this paper, a method for fuzzy multi-attribute decision-making problem considering the characteristics of investment decisions is investigated. The preference information about attribute weights given by the decision makers is in the form of complementary judgment matrixes and the attribute value in the decision matrix is trapezoidal fuzzy number. The attribute weight and expert vectors are received by exploring the feather information of judgment matrixes given by experts about attribute. A new method for ranking alternatives by using ranking trapezoidal fuzzy number based on the area between circumcenter of centroids of a fuzzy number and origin is proposed. Finally, a project evaluation problem for services showed that the proposed method is an effective tool to solve the fuzzy multi-attribute decision-making problems,featuring by simple operations and easy implementation on a computer.

Keywords：multi-attribute decision making; trapezoidal fuzzy number; complementary judgment matrix; similar approach degree; superiority index; investment decision

通信作者：吕智颖. E-mail: lvzhiying1979@163.com.

在多属性决策中，往往需要对方案或属性进行两两比较，形成判断矩阵。在实际的决策过程中，专家受到知识结构、评判水平和个人偏好等众多因素的影响所给出的判断矩阵是不同的，因此需要集结多个专家给出的判断矩阵进行决策。……