An interval programming approach for the bilevel linear programming problem under fuzzy random environments

DOI10.1007/s00500-013-1120-9zbMath1327.90405OpenAlexW2039124236MaRDI QIDQ894670

Xingsi Xue, Yuping Wang, Aihong Ren

Publication date: 2 December 2015

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-013-1120-9

zbMATH Keywords

fuzzy random variableslevel setsinterval programmingbilevel linear programmingexpectation optimization model

Mathematics Subject Classification ID

Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Cites Work

• Unnamed Item
• Stackelberg solutions for fuzzy random bilevel linear programming through level sets and probability maximization
• Interactive fuzzy random two-level linear programming through fractile criterion optimization
• Stackelberg solutions for fuzzy random two-level linear programming through probability maximization with possibility
• Linear bilevel programming with interval coefficients
• Stackelberg solutions for fuzzy random two-level linear programming through level sets and fractile criterion optimization
• Interactive fuzzy random two-level linear programming based on level sets and fractile criterion optimization
• Fuzziness and randomness in an optimization framework
• Bi-level programming model and hybrid genetic algorithm for flow interception problem with customer choice
• Statistics with vague data
• Fuzzy random variables - I. Definitions and theorems
• Practical bilevel optimization. Algorithms and applications
• Bilevel and multilevel programming: A bibliography review
• A class of fuzzy random optimization: Expected value models.
• Foundations of bilevel programming
• Interactive fuzzy stochastic two-level integer programming through fractile criterion optimization
• A new metric for \(L\)-\(R\) fuzzy numbers and its application in fuzzy linear systems
• A general concept for solving linear multicriteria programming problems with crisp, fuzzy or stochastic values
• On solutions of fuzzy random multiobjective quadratic programming with applications in portfolio problem
• An overview of bilevel optimization
• Fuzzy stochastic linear programming: survey and future research directions
• Linear programming with interval coefficients
• Computational Difficulties of Bilevel Linear Programming
• Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
• Two-Level Linear Programming
• Fuzzy random variables
• Fuzzy differential equations

This page was built for publication: An interval programming approach for the bilevel linear programming problem under fuzzy random environments