Comparison of clusters from fuzzy numbers

Fuzzy numbers are used for representation of numerical quantities in a vague environment. Their comparison or ranking is important for application purposes. A new index for comparing of fuzzy numbers based on their geometrical properties is suggested in this paper. This geometrical index is tested on a group of selected examples and compared with the other well-known indexes. A method for comparison of m-tuples of fuzzy numbers and an algorithm for comparison of subsets (clusters) of similar, closed m-tuples of trapezoidal fuzzy numbers are presented.