A New Hybrid Intelligent Algorithm for Fuzzy Multiobjective Programming Problem Based on Credibility Theory

Based on the credibility theory, this paper is devoted to the fuzzy multiobjective programming problem. Firstly, the expected-value model of fuzzy multiobjective programming problem is provided based on credibility theory; then two new approaches for obtaining efficient solutions are proposed on the...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical problems in engineering 2014-01, Vol.2014 (2014), p.1-11
Main Authors: Wang, Zu-Tong, Guo, Jian-Sheng, Zheng, Ming-Fa, Wang, Ying
Format: Article
Language:English
Subjects:
Algorithms
Design optimization
Expected values
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Hybrid systems
Hypercubes
Latin hypercube sampling
Mathematical models
Mathematical programming
Multiple objective
Multiple objective analysis
Optimization
Search algorithms
Support vector machines
Swarm intelligence
Systems design
Theory
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Based on the credibility theory, this paper is devoted to the fuzzy multiobjective programming problem. Firstly, the expected-value model of fuzzy multiobjective programming problem is provided based on credibility theory; then two new approaches for obtaining efficient solutions are proposed on the basis of the expected-value model, whose validity has been proven. For solving the fuzzy MOP problem efficiently, Latin hypercube sampling, fuzzy simulation, support vector machine, and artificial bee colony algorithm are integrated to build a hybrid intelligent algorithm. An application case study on availability allocation optimization problem in repairable parallel-series system design is documented. The results suggest that the proposed method has excellent consistency and efficiency in solving fuzzy multiobjective programming problem and is particularly useful for expensive systems.
ISSN:1024-123X
1563-5147
DOI:10.1155/2014/909203