摘要
基于直觉模糊集理论的思想与方法,探讨多阶段决策问题.运用分析技巧,构建直觉模糊集比较可能度公式及区间直觉模糊集比较可能度公式.在普通动态规划的基础上,提出区间直觉模糊动态规划及其最优解的概念,建立相应的数学模型及其最优解的算法,并指出直觉模糊动态规划是区间直觉模糊动态规划的特例.通过算例分析,说明了算法的合理性和可行性.为不确定动态规划和直觉模糊集理论的应用研究提供了新的思路.
Based on the intuitionistic fuzzy set theory,a multi-stage decision-making problem is discussed.Both intuitionistic fuzzy set comparison possibility degree formula and interval-valued intuitionistic fuzzy set comparison possibility degree formula are developed.According to the regular dynamic programming theory,the concepts of interval-valued intuitionistic fuzzy dynamic programming and its optimal solution are provided.At the same time,the mathematical model and the optimal algorithm of the interval-valued intuitionistic fuzzy dynamic programming are built.It is pointed out that intuitionistic fuzzy dynamic programming is a special case of interval-valued intuitionistic fuzzy dynamic programming.Numerical analyses shows the reasonableness and feasibility of the algorithm.This paper suggests a new area in the application of uncertain dynamic programming and intuitionistic fuzzy set theory.
出处
《控制与决策》
EI
CSCD
北大核心
2010年第1期8-13,共6页
Control and Decision
基金
国家自然科学基金项目(70701017)
江苏省高等学校优秀创新团队科研基金项目(Y0553-091)
河南省重点科技攻关项目(072102340009)
河南省哲学社会科学规划项目(2007BJJ014)
河南省科技厅软科学研究计划项目(082400440100)
关键词
区间直觉模糊集
可能度
动态规划
最优解
Interval-valued intuitionistic fuzzy set
Possibility degree
Dynamic programming
Optimal solution
