Inverse fuzzy eigenproblem in databases

Fuzzy algebra is defined as the real unit interval equipped by two binary operations: maximum and minimum, which are used analogously as addition and multiplication in the classical linear algebra. Fuzzy algebra is used in applications such as fuzzy control systems, or stability of discrete event systems. Eigenvectors of a fuzzy matrix correspond to steady states of a given discrete-events system. The inverse eigenproblem is motivated by the task of finding all possible systems possessing a given steady state. In the contribution, the inverse problem is studied as a system of fuzzy equations, possibly with upper end lower bounds. Application of the inverse approach to efficient search in databases is presented.