Solving bi-level programming problem with fuzzy random variable coefficients

被引：10

作者：

Singh, Vishnu Pratap ^{[1
]}

Chakraborty, Debjani ^{[1
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2017年 / 32卷 / 01期

关键词：

Bi-level programming; fuzzy random variable; two stage stochastic programming; fuzzy goal programming; PROBABILITY MAXIMIZATION; STACKELBERG-SOLUTIONS; OPTIMIZATION; ENVIRONMENT;

D O I：

10.3233/JIFS-152354

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper represents the bi-level linear programming problem in an imprecise and uncertain mixed environment. The aim of this paper is to introduce coefficients of leader and the follower's objective function and the constraints as the fuzzy random variable. To determine the optimal value of the leader and follower's objectives a new methodology is developed for bi-level linear programming model in the presence of fuzzy random variable. A numerical example is solved to demonstrate the methodology.

引用

页码：521 / 528

页数：8

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