Fuzzy similarity based classification in normal Lukasiewicz algebra with geometric and harmonic mean

There have been many similarity measures introduced into literature. The ones introduced and investigated in this article can be categorized as Minkowsky metric based fuzzy logic measures. We are using normal Łukasiewicz algebra as our fuzzy structure for our classifier. The major advantage of this method is that it provides semantical information about the classification task and it allows partial membership of the class. In this paper we will show how to implement different means in the Łukasiewicz algebra. We will do this implementation in normal form of Łukasiewicz. As a result of this implementation we will get multiple similarity measures which can be used in classification. We have studied fuzzy similarity in different mean.