Abstract
In this paper, we evaluate the fuzzy similarity measures of different country rankings with respect to the most dangerous and safest for women. We find that the fuzzy similarity measures are high. We develop some theoretical results concerning fuzzy similarity measures. The goal of the paper is to examine the similarity of the rankings of countries with respect to the most dangerous countries for women to live and the peace and security of the countries for women. We determine a formula for the difference of rankings of the fuzzy similarity measure of two rankings A and B and the opposite of A and B .