Fast and accurate center of gravity defuzzification of fuzzy system outputs defined on trapezoidal fuzzy partitions

Authors:
Ester Van Broekhoven;Bernard De Baets
Affiliations:
Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B-9000 Gent, Belgium;Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B-9000 Gent, Belgium
Venue:
Fuzzy Sets and Systems
Year:
2006

Citing 12
Cited 9

The effects of membership function on fuzzy reasoning

Fuzzy Sets and Systems
An introduction to fuzzy control

An introduction to fuzzy control
Why triangular membership functions?

Fuzzy Sets and Systems
Cooperative neighbors in defuzzification

Fuzzy Sets and Systems
Adaptive learning defuzzification techniques and applications

Fuzzy Sets and Systems
A fuzziness measure for fuzzy numbers: applications

Fuzzy Sets and Systems
Defuzzification: criteria and classification

Fuzzy Sets and Systems
Some numerical aspects of center of area defuzzification method

Fuzzy Sets and Systems
Simple computation for the defuzzifications of center of sum and center of gravity

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Activation of trapezoidal fuzzy subsets with different inference methods

IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
Generalized defuzzification strategies and their parameter learning procedures

IEEE Transactions on Fuzzy Systems
SLIDE: A simple adaptive defuzzification method

IEEE Transactions on Fuzzy Systems

Only smooth rule bases can generate monotone Mamdani-Assilian models under center-of-gravity defuzzification

IEEE Transactions on Fuzzy Systems
Further exploration of the fuzzy dendritic cell method

ICARIS'11 Proceedings of the 10th international conference on Artificial immune systems
On classification with missing data using rough-neuro-fuzzy systems

International Journal of Applied Mathematics and Computer Science - Computational Intelligence in Modern Control Systems
Parameterized defuzzification with maximum entropy weighting function-Another view of the weighting function expectation method

Mathematical and Computer Modelling: An International Journal
Removal of noise patterns in handwritten images using expectation maximization and fuzzy inference systems

Pattern Recognition
Bayesian Approach with Maximum Entropy Principle for trusted quality of Web service metric in e-commerce applications

Security and Communication Networks
Assessing bone loss in micro-gravity: A fuzzy approach

Computer Methods and Programs in Biomedicine
Defuzzification block: New algorithms, and efficient hardware and software implementation issues

Engineering Applications of Artificial Intelligence
Decentralized fuzzy inference method for estimating thermal boundary condition of a heated cylinder normal to a laminar air stream

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.20

Visualization

Abstract

In this article three methods are presented to perform the center of gravity (COG) defuzzification method in the context of linguistic fuzzy models with t-norm-based inference: one well-known method, the discretisation method, and two new methods, the slope-based method and the modified transformation function method. The methods are worked out for trapezoidal membership functions forming a fuzzy partition in the sense of Ruspini. Experimental results show that the newly introduced methods exhibit excellent accuracy at an extremely low computational cost compared to the widely applied discretisation method.