Fuzzy Relations in a Control Setting

Abstract

This brief paper considers the various possible mathematical operations on fuzzy sets that are required to implement a set of control rules as a fuzzy logic control element. The influence that these operations have on the characteristics of the final control element is a factor that is used to select those operations most suitable in the control context.

Fuzzy-Bayesian-network-based Safety Risk Analysis in Railway Passenger Transport

“…Step 4 Probabilistic defuzzification Several defuzzification methods (Braae and Rutherford, 1978;Mamdani, 2010) have currently been presented for decision analysis in the Bayesian inference. The α-weighted valuation method (Detyniecki and Yager, 2000) is employed in the study to calculate the exact value represented the probability of the root nodes and the related formulations are shown in Eq.…”

Design a Hierarchical System for Monitoring Mobility Changes of the Elderly Using Intelligent Analysis

“…The inference engine works by using Gupta et al's [19] method which involves the decomposition of multivariable fuzzy system into a set of one-dimensional systems. Finally, there are two main methods for defuzzification procedures, mean of maximum (MOM) and centre of area (COA) [20]. The latter procedure has been adopted because it gives smoother signals.…”

Positional control of pneumatic manipulators for construction tasks

“…The most popular defuzzification method is the centroid calculation. This strategy has been shown to yield superior results [15]. Due to this reason, it was used.…”