Defuzzification under Constraints and Forbidden Zones

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Abstract
Examines the problem of fuzzification in situations in which in addition to the usual fuzzy output of the controller there exists some ancillary restriction on the allowable defuzzified values. Provides two basic approaches to address this problem. In the first approach, enforces the restriction by selecting the defuzzified value through a random experiment in which the values which have non‐zero probabilities are in the allowable region; this method is based on the RAGE defuzzification procedure and makes use of a non‐monotonic conjunction operator. The second approach, which, in the spirit of the commonly used methods, is a kind of expected value, converts the problem to a constraint optimization problem.

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