A measure of the difference between two fuzzy partitions

Rok, strany: 2001, 133 - 152

The aim of this paper is to study the divergence measures between fuzzy partitions, which deal with measuring the difference of two partitions of a given finite universe. The interest of these measures is concentrated on the local case, in which the difference only depends on the difference of particular fuzzy subsets and on the measure of these subsets. This paper also states a necessary and sufficient condition for a divergence measure to be local. The whole study is based on previous results on fuzzy divergence measures between fuzzy subsets. In fact, the concept of divergence measure between partitions allows to obtain divergence measures between subsets and probabilistic divergence measures, as it is showed in the final sections. This paper is concluded by showing some important examples of families of divergence measures between fuzzy partitions.

ISO 690:

Montes, S., Miranda, P., Gil, P. 2001. A measure of the difference between two fuzzy partitions. In Tatra Mountains Mathematical Publications, vol. 21, no.1, pp. 133-152. 1210-3195.

APA:

Montes, S., Miranda, P., Gil, P. (2001). A measure of the difference between two fuzzy partitions. Tatra Mountains Mathematical Publications, 21(1), 133-152. 1210-3195.