Systems of Equations with Fuzzy Coefficients

Abstract

In this work, we consider and solve systems of equations having triangular or trapezoidal fuzzy numbers as coefficients. The central idea applied here for solving a system of such type is the ranking of the fuzzy numbers involved and the solution of the obtained in this way ordinary system with a traditional method. Finally, one may convert the real solution(s) of the ordinary system to fuzzy numbers with the desired degree of fuzziness, which is a new notion introduced here. This is not compulsory, but it is suggested to be applied in typical scenarios where ambiguity or vagueness prevails and therefore a fuzzy expression of the corresponding solution could be preferable than the crisp one. Examples and real life applications are also presented illustrating our method.