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Defuzzification: criteria and classification

✍ Scribed by Werner Van Leekwijck; Etienne E. Kerre

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
185 KB
Volume
108
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper, we contribute to the theory and development of defuzziÿcation techniques. First we deÿne the core of a fuzzy set. Then we formulate a set of criteria for defuzziÿcation in arbitrary universes, ordered universes, and the set of the real numbers. Finally, we classify the most widely used defuzziÿcation techniques into di erent groups and we examine the prototypes of each group with respect to the defuzziÿcation criteria. We show that the maxima methods behave well with respect to the more basic defuzziÿcation criteria, and hence are good candidates for fuzzy reasoning systems. On the other hand, the distribution methods and the area methods do not fulÿll the basic criteria, but they exhibit the property of continuity that makes them suitable for fuzzy controllers.

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