Some measures of dissimilarity in intuitionistic fuzzy structures

The concept of an intuitionistic fuzzy set introduced by K. Atanassov is a generalization of that of a fuzzy set. Many similarity/dissimilarity measures have been proposed for measuring the degree of similarity/dissimilarity between fuzzy sets. However, it seems that there is little investigation on dissimilarity measures for measuring the degree of dissimilarity between intuitionistic fuzzy sets. In this paper, two dissimilarity measures between intuitionistic fuzzy sets of a finite set are defined, and it is proved that both of the measures are metrical. The measures can also be generalized to intuitionistic fuzzy structures, such as intuitionistic fuzzy subgraphs, defined on a finite set. The generalization of intuitionistic fuzzy subgraph is of important to investigation on graph dissimilarity. (C) 2003 Elsevier Inc. All rights reserved.