Fuzzy random chance-constrained programming

By fuzzy random programming, we mean the optimization theory dealing with fuzzy random decision problems. This paper presents a new concept of chance of fuzzy random events, and constructs a general framework of fuzzy random chance-constrained programming. We also design a spectrum of fuzzy random s...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2001-10, Vol.9 (5), p.713-720
Main Author: Liu, Baoding
Format: Article
Language:English
Subjects:
Computational modeling
Computer simulation
Functional programming
Fuzzy
Fuzzy logic
Fuzzy neural networks
Fuzzy set theory
Fuzzy sets
Fuzzy systems
Genetic algorithms
Intelligent networks
Linear programming
Mathematical analysis
Mathematical models
Neural networks
Programming
Stochastic processes
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Summary:By fuzzy random programming, we mean the optimization theory dealing with fuzzy random decision problems. This paper presents a new concept of chance of fuzzy random events, and constructs a general framework of fuzzy random chance-constrained programming. We also design a spectrum of fuzzy random simulations for computing uncertain functions arising in the area of fuzzy random programming. To speed up the process of handling uncertain functions, we train a neural network to approximate uncertain functions based on the training data generated by fuzzy random simulation. Finally, we integrate the fuzzy random simulation, neural network, and genetic algorithm to produce a more powerful and effective hybrid intelligent algorithm for solving fuzzy random programming models and illustrate its effectiveness by some numerical examples.
ISSN:1063-6706
1941-0034
DOI:10.1109/91.963757