Figure 9.2 shows the membership functions for two fuzzy numbers I ∼
and J ∼ . Equation (9.2b) is an extension of the inequality x ≥ y according to the extension principle. It represents the degree of possibility in the sense that if a specific pair (x, y) exists such that x ≥ y and μI ∼ (x) = μJ ∼ (y), thenT( I ∼≥J ∼ ) =1. Since the fuzzy numbers I ∼ and J ∼ are convex, it can be seen from Figure 9.2 that