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基于前景理论的随机直觉模糊决策方法
引用本文:李 鹏,刘思峰,朱建军.基于前景理论的随机直觉模糊决策方法[J].控制与决策,2012,27(11):1601-1606.
作者姓名:李 鹏  刘思峰  朱建军
作者单位:南京航空航天大学经济与管理学院;江苏科技大学经济管理学院
基金项目:国家自然科学基金重大研究计划培育项目(90924022);国家自然科学基金面上项目(70971064),国家自然科学基金项目(70701017);国家社会科学基金重点项目(08AJY024)
摘    要:针对指标权重未知、方案的指标值为直觉模糊数的随机直觉模糊决策问题,提出一种基于前景理论和新的记分函数的随机决策方法.首先定义了新的记分函数;然后运用灰色系统理论确定指标的权重,并通过前景理论对方案进行对比和排序;最后,通过算例分析说明了所提出方法的合理性和可行性.

关 键 词:记分函数  直觉模糊数  前景理论  灰色系统理论  集对分析
收稿时间:2011/4/21 0:00:00
修稿时间:2011/7/5 0:00:00

Intuitionistic fuzzy stochastic multi-criteria decision-making methods
based on prospect theory
LI Peng,LIU Si-feng,ZHU Jian-jun.Intuitionistic fuzzy stochastic multi-criteria decision-making methods
based on prospect theory[J].Control and Decision,2012,27(11):1601-1606.
Authors:LI Peng  LIU Si-feng  ZHU Jian-jun
Affiliation:1(College of Economics & Management,Nanjing University of Aeronauties & Astronautics,Nanjing 210016,China;2.College of Economics & Management,Jiangsu University of Science and Technology,Zhenjiang 212003,China.)
Abstract:

For the stochastic multi-criteria decision-making problem, in which the information on criteria’s weights is
incomplete and the indices value of alternatives are in the form of intuitionistic fuzzy numbers, an intuitionistic stochastic
decision-making approach based on prospect theory and a new score function is proposed. Firstly, a new score function is
defined. Then the grey system theory is used to determine the weight of the indices, and the alternative is obtained by using
prospect theory. Finally, an example shows the feasibility and reasonableness of this method.

Keywords:
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