运筹与管理2016，Vol.25Issue(6)：105-111,7.DOI:10.12005/orms.2016.0208
含直觉模糊弹性约束的广义模糊变量线性规划
Generalized Fuzzy Variable Linear Progra mming with Intuitive Fuzzy Elastic Constraints
张京亮 1陈之宁2
作者信息
- 1. 陆军军官学院 研究生二队，安徽 合肥 230031
- 2. 陆军军官学院 基础部数学教研室，安徽 合肥 230031
- 折叠
摘要
Abstract
In this paper,a class of new fuzzy variable linear programming problem with intuitionistic fuzzy elastic constraints is constructed and discussed based on the fuzzy structured element method.Firstly,the authors intro-duce the basic principle of structured element and make an analysis of the connection between weight function and risk attitude of decision-makers.Then,by choosing the risk neutral decision attitude to define an order relation and expanding Verdegay’s fuzzy linear programming method,the authors transform the new fuzzy variable linear pro-gramming problem into two general fuzzy variable linear programming with fuzzy elastic constraints .The intuitionis-tic optimal solution of the two general fuzzy variable linear programming with fuzzy elastic constraints is given. Finally,the authors further illustrate the effectiveness of this method by a numerical example.关键词
模糊变量/模糊结构元/风险态度/直觉模糊弹性约束/最优直觉模糊解Key words
fuzzy variables/fuzzy structured element/risk attitude/intuitionistic fuzzy elastic constraints/intuitionistic fuzzy optimal solution分类
数理科学引用本文复制引用
张京亮,陈之宁..含直觉模糊弹性约束的广义模糊变量线性规划[J].运筹与管理,2016,25(6):105-111,7.
