Generalization and ranking of fuzzy numbers by relative preference relation

We define 2n + 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 2n + 1 and 2n fuzzy numbers. When the data is representable in terms of 2n + 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.

Automated summary

In this study, we define 2n+1 and 2n fuzzy numbers, generalizing triangular and trapezoidal fuzzy numbers. We extend fuzzy preference and relative preference relations for ranking these numbers. The proposed FMCDM model utilizing TOPSIS and relative preference relation is applied and validated with a telecommunications example.