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基于双论域模糊粗糙集的应急决策模型与方法

孙秉珍 马卫民 赵海燕

运筹与管理Issue(2):41-48,8.
运筹与管理Issue(2):41-48,8.

基于双论域模糊粗糙集的应急决策模型与方法

The Model and Approach of Emergency Decision-making Based on Fuzzy Rough Set over Two Universes

孙秉珍 1马卫民 2赵海燕1

作者信息

  • 1. 同济大学 经济与管理学院,上海 200092
  • 2. 兰州交通大学 交通运输学院,甘肃 兰州 730070
  • 折叠

摘要

Abstract

In this paper , we discuss the theory of fuzzy rough set over two universes with the background of emer -gency decision-making.Then we define a fuzzy rough set model based on fuzzy compatible relation over two uni-verses.By the theory of fuzzy rough set over two universes , the emergency decision-making changes into a rough approximation of a fuzzy decision object on the decision approximation space over two universes .So , we construct the model of emergency decision making based on fuzzy rough set over two universes .We first compute the lower ( upper ) approximation of the fuzzy decision object with respect to the approximation space over two universes , and then present the decision rules by combing the idea of uncertainty decision-making.Moreover, the algorithm of the model is given .This model gives a kind of decision approach to emergency decision-making under the con-dition of incomplete information .Furthermore , it also gives the optimal decision rules with the confidence coeffi-cient by considering the preference of the decision-makers.The proposed method could give a properly descrip-tive of the characters for the emergency decision making with incomplete information , limited recourses of humans and materials and urgently time .Therefore , it can provide a basic theory and a decision approach in practice for emergency decision-making.Finally, the validity of the approach and the applied process is tested by a numeri-cal example .

关键词

应急决策/模糊粗糙集/双论域/非确定型决策

Key words

emergency decision-making/fuzzy rough set/two universes/uncertainty decision-making

分类

数理科学

引用本文复制引用

孙秉珍,马卫民,赵海燕..基于双论域模糊粗糙集的应急决策模型与方法[J].运筹与管理,2014,(2):41-48,8.

基金项目

国家自然科学基金资助项目(71161016,71071113);甘肃省自然科学基金资助项目(1308RJYA020);中央高校基本科研业务费专项资金 ()

运筹与管理

OA北大核心CHSSCDCSCDCSSCICSTPCD

1007-3221

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