Inconsistent property of Lee and Li fuzzy ranking method

This paper analyzes the Lee and Li fuzzy ranking method for the normalized trapezoidal fuzzy numbers (NTFNs). Every NTFN has associated with it another NTFN, which posseses an inconsistent property. An inconsistent property is that the results of comparison of these two NTFNs are conflicting when two different comparison indices are used. Based on this property, Lee and Li fuzzy ranking method suffers from lack of discrimination and occasionally conflicts with intuition.