“…When we use the single winner method in (15), the estimated class boundary is calculated as by the first definition and by the second definition from the equation (28) The estimated class boundary has a large error in the case of the first definition while it is almost the same as the actual threshold in the second definition. The large error by the first definition is due to the large rule weight of the fuzzy rule .…”
Section: A Simulation Results On Single-dimensional Problemsmentioning
confidence: 99%
“…If multiple fuzzy rules have the same maximum value but different consequent classes for the new pattern in (15), the classification of is rejected. The classification is also rejected if no fuzzy rule is compatible with the new pattern .…”
Section: Fuzzy Reasoning For Pattern Classificationmentioning
confidence: 99%
“…Thus the rule weight can be viewed as adjusting the compatibility grade (i.e., applicability) of each fuzzy rule to the current input vector. When there is exactly one rule per class in neuro-fuzzy naive Bayes classifiers [15], the rule weight and the compatibility grade are explained as being the prior probability of the consequent class and the probability density function, respectively. Under this interpretation, the multiplication of the compatibility grade by the rule weight becomes natural.…”
Section: Fuzzy Reasoning For Pattern Classificationmentioning
Abstract-This paper shows how the rule weight of each fuzzy rule can be specified in fuzzy rule-based classification systems. First, we propose two heuristic methods for rule weight specification. Next, the proposed methods are compared with existing ones through computer simulations on artificial numerical examples and real-world pattern classification problems. Simulation results show that the proposed methods outperform the existing ones in the case of multiclass pattern classification problems with many classes.
“…When we use the single winner method in (15), the estimated class boundary is calculated as by the first definition and by the second definition from the equation (28) The estimated class boundary has a large error in the case of the first definition while it is almost the same as the actual threshold in the second definition. The large error by the first definition is due to the large rule weight of the fuzzy rule .…”
Section: A Simulation Results On Single-dimensional Problemsmentioning
confidence: 99%
“…If multiple fuzzy rules have the same maximum value but different consequent classes for the new pattern in (15), the classification of is rejected. The classification is also rejected if no fuzzy rule is compatible with the new pattern .…”
Section: Fuzzy Reasoning For Pattern Classificationmentioning
confidence: 99%
“…Thus the rule weight can be viewed as adjusting the compatibility grade (i.e., applicability) of each fuzzy rule to the current input vector. When there is exactly one rule per class in neuro-fuzzy naive Bayes classifiers [15], the rule weight and the compatibility grade are explained as being the prior probability of the consequent class and the probability density function, respectively. Under this interpretation, the multiplication of the compatibility grade by the rule weight becomes natural.…”
Section: Fuzzy Reasoning For Pattern Classificationmentioning
Abstract-This paper shows how the rule weight of each fuzzy rule can be specified in fuzzy rule-based classification systems. First, we propose two heuristic methods for rule weight specification. Next, the proposed methods are compared with existing ones through computer simulations on artificial numerical examples and real-world pattern classification problems. Simulation results show that the proposed methods outperform the existing ones in the case of multiclass pattern classification problems with many classes.
“…chapter 8). Furthermore there are some interesting connections to fuzzy clustering [Borgelt et al 1999] and neuro-fuzzy rule induction [Nürnberger et al 1999] through naive Bayes classifiers, which may lead to powerful hybrid systems.…”
“…Furthermore, we give a formula description of the shape of the class borders and we extend our discussion to the influence of rule weights, which are used in a number of fuzzy classification systems. Based on these considerations, we also point out some aspects of the classification behavior of naive Bayes classifiers, since they can be seen as a subset of fuzzy systems, as we have shown in [8].…”
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