Time-Invariant Fuzzy Max-Plus Linear Systems
Abstract: In time-invariant
max-plus linear systems (IMLS), the activity times are real numbers. In
time-invariant fuzzy max-plus linear systems (IFMLSI), as there is uncertainty
in the activity times, the activity
times are modeled as fuzzy numbers. This article discusses a generalization of
IMLSI to IFMLS, especially IFMLS with single input single out-put (SISO), and
input-output analysis of IFMLS-SISO. We show that input-output analysis
IFMLS-SISO associated with the latest times input problem can be solved by using
a solution of a system of fuzzy number max-plus linear equations.
Keywords: Linear Systems,
Max-Plus, Fuzzy Number, Time-Invariant, Input-Output
Journal Code: jpmatematikagg120003
