Generalization and ranking of fuzzy numbers by relative preference relation

Abstract

We define 2 n+ 1 and 2n fuzzy numbers, which generalize triangular and trapezoidal fuzzy numbers, respectively. Then, we extend the fuzzy preference relation and relative preference relation to rank 2 n+ 1 and 2n fuzzy numbers. When the data is representable in terms of 2 n+ 1 fuzzy number, we generalize the FMCDM (fuzzy multi-criteria decision making) model constructed with TOPSIS and relative preference relation. Lastly, we give an example from telecommunications to present the proposed FMCDM model and validate the results obtained.