基于三参数区间数型偏好序的群决策方法

J4 ›› 2011, Vol. 46 ›› Issue (7): 65-69.

基于三参数区间数型偏好序的群决策方法

林健,姜永

福建农林大学计算机与信息学院, 福建福州 350002

收稿日期:2010-09-14 出版日期:2011-07-20 发布日期:2011-09-08
作者简介:林健(1983- ),男,讲师,硕士,主要从事模糊优化与决策研究. Email: linjian105@yahoo.com.cn
基金资助:
福建省教育厅基金资助项目(JB09300);福建省自然科学基金资助项目(2008J0183);福建农林大学青年教师基金资助项目(2009019)

A group decision making method based on preference ordinal with three parameters interval numbers

LIN Jian, JIANG Yong

College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou 350002, Fujian, China

Received:2010-09-14 Online:2011-07-20 Published:2011-09-08

摘要/Abstract

摘要：

研究了决策者偏好以三参数区间数型偏好序形式给出的有限方案群决策问题。首先给出了三参数区间数型偏好序的定义,在综合考虑决策者偏好信息的基础上,引入导出的偏好序向量,给出了三参数区间数型偏好序的概率描述。其次介绍了三参数区间数型偏好序一致性的两个定义,利用调整算法对一致性不可接受的偏好序进行修正。通过定义三参数区间数型偏好序之间的偏差函数,给出一种确定决策者权重向量的有效方法,从而建立了一种解决有限方案群决策问题的有效算法。最后通过一个实例说明该方法的可行性和有效性。

关键词: 三参数区间数;偏好序;偏差函数;群决策

Abstract:

The group decision making problem with finite alternatives was investigated, in which the preference ordinals were expressed by three parameters interval numbers. Firstly, the definition of three parameters interval number was given, and the probabilistic description of preference ordinals was presented by considering of preference information. Secondly, two definitions of consistency of preference ordinals were introduced, and an algorithm was proposed to adjust the inconsistency in preference ordinals. A method based on deviation function was presented to determine the weighted vector of decision maker, and then the effective algorithm to solve group decision making problem with finite alternatives was estabished. Finally, a practical example was illustrated to show the feasibility and availability of the developed method.

Key words: three parameters interval number; preference ordinal; deviation function; group decision making

林健,姜永. 基于三参数区间数型偏好序的群决策方法[J]. J4, 2011, 46(7): 65-69.

LIN Jian, JIANG Yong. A group decision making method based on preference ordinal with three parameters interval numbers[J]. J4, 2011, 46(7): 65-69.

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