A compromise-based particle swarm optimization algorithm for solving Bi-level programming problems with fuzzy parameters

Jialin Han*, Yaoguang Hu, Guangquan Zhang, Jie Lu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Bi-level programming has arisen to handle decentralized decision-making problems that feature interactive decision entities distributed throughout a bi-level hierarchy. Fuzzy parameters often appear in such a problem in applications and this is called a fuzzy bi-level programming problem. Since the existing approaches lack universality in solving such problems, this study aims to develop a particle swarm optimization (PSO) algorithm to solve fuzzy bi-level programming problems in the linear and nonlinear versions. In this paper, we first present a general fuzzy bi-level programming problem and discuss related theoretical properties based on a fuzzy number ranking method commonly used. A PSO algorithm is then developed to solve the fuzzy bi-level programming problem based on different compromised selections by decision entities on the feasible degree for constraint conditions under fuzziness. Lastly, an illustrative numerical example and two benchmark examples are adopted to state the effectiveness of the compromise-based PSO algorithm.

Original languageEnglish
Title of host publicationProceedings - The 2015 10th International Conference on Intelligent Systems and Knowledge Engineering, ISKE 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages214-221
Number of pages8
ISBN (Electronic)9781467393225
DOIs
Publication statusPublished - 13 Jan 2016
Event10th International Conference on Intelligent Systems and Knowledge Engineering, ISKE 2015 - Taipei, Taiwan, Province of China
Duration: 24 Nov 201527 Nov 2015

Publication series

NameProceedings - The 2015 10th International Conference on Intelligent Systems and Knowledge Engineering, ISKE 2015

Conference

Conference10th International Conference on Intelligent Systems and Knowledge Engineering, ISKE 2015
Country/TerritoryTaiwan, Province of China
CityTaipei
Period24/11/1527/11/15

Keywords

  • bi-level programming
  • compromise
  • fuzzy number
  • particle swarm optimization
  • swarm computing

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