On Measuring the Solvability of a Fuzzy Relation Equation

Solvability of fuzzy relation equations is a problem that often arises when it comes to modelling databases. When a fuzzy relation equation is unsolvable, it can be due to multiple reasons, as lack or excess of information. In this paper, we present a first approach on measuring the solvability of a fuzzy relation equation. Specifically, based on a recently published method for computing approximated solvable equations, we introduce three ways to measure the solvability of a fuzzy relation equation.