Abstract
Table 13.1 lists the proximity-based compatibility measures examined in this study. For each subclass, at least two compatibility measures with different normalization functions are considered. As before, the Description column provides a common name for the compatibility measure or a reference to an application in which it has been used. Several of the proximity-based compatibility measures are equivalent to set-theoretic measures already tested and they are included for completeness. In the tables showing performance results, the G D measures have an added parameter to the subscript, either univ or supp, that indicates the size of the normalizing distance β used in the dissemblance index. The subscript supp indicates that the smallest interval surrounding the support of both fuzzy sets is used for β. For univ, the cardinality of the universe of the fuzzy sets is used. The distinction between univ and supp was described in Section 8.4. We examine the performance of the proximity-based compatibility measures with T 3 and G 1,m aggregation. For each subclass, several of the better performing measures are tested with T 2 as the aggregator.
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