On Segmentation of Interaction Values - Developing Concepts in Applied Intelligence - page 31

4.2 Interaction Values

A part of interaction values obtained from interestingness measures on the rule
set is represented in table 3. We can see that the measures EII and Implication
Index has the highest value of interaction (the interaction value is 1).

Table 3. The capacity value of Sugeno for each interestingness measure.

Interestingness measures 1 Interestingness measures 2 Interaction values
EII

Implication Index 1

Conviction Implication Index 0.892268317

EII 2 Implication Index 0.885549175

Conviction EII 0.763155019

EII EII 2 0.757408143

Implication index Rule Interest 0.721446156

... ... ...

4.3 Interaction Graph

We can observe rank of interaction on an interaction matrix based on the deter-
mination of different values of the threshold -interaction. For instance, to observe
the different levels of strong interaction, we can start from the couple of inter-
estingness measures having the the strongly interaction values and the other
couples of interestingness measures corresponding to the decrease of interaction
values (Fig. 2, ).

Fig. 2. An interaction graph.

On Fig. 2, we can observe the affect the measure Implication Index with regard
to the other interestingness measures in a cluster of 5 interstingness measures
Implication Index, EII, Conviction, EII 2, Rule Interest. The number of inter-
estingness measures in a cluster increases according to the decrease of the value
of τ -interaction.