Title
Fast and Effective Learning for Fuzzy Cognitive Maps: A Method Based on Solving Constrained Convex Optimization Problems
Abstract
The learning of fuzzy cognitive maps (FCMs) is a timely issue pursued by numerous researchers. Many learning methods, such as population-based algorithms and some hybrid algorithms, have been developed and applied to many fields resulting in better performance. However, those learning algorithms also exhibit obvious limitations: some of them either are difficult to handle the learning problem of large-scale FCM or extremely time-consuming with high computational overload. Furthermore, the learning problem of FCM with noisy data is rarely considered in existing algorithms. In this article, a fast and efficient method for learning FCM is proposed. It first transforms the learning problem of the FCM into a convex optimization problem with constraints, and then, the classic interior-point methods are invoked to solve the optimization problem to obtain the optimized weight matrix of the FCM. A series of experiments involving synthetic data, noisy synthetic data, real data, and publicly available data with noise are considered to demonstrate that the proposed method can rapidly and efficiently learn small-scale and large-scale FCMs and deal with the problem of learning FCM from noisy historical data.
Year
DOI
Venue
2020
10.1109/TFUZZ.2019.2946119
IEEE Transactions on Fuzzy Systems
Keywords
DocType
Volume
Convex optimization,fuzzy cognitive maps (FCMs),learning algorithm
Journal
28
Issue
ISSN
Citations 
11
1063-6706
1
PageRank 
References 
Authors
0.35
19
6
Name
Order
Citations
PageRank
Wei Lu111614.10
Guoliang Feng232.06
Xiaodong Liu349228.50
W. Pedrycz4139661005.85
Liyong Zhang5122.20
Jianhua Yang610.35