Use of non-normalized fuzzy sets membership functions in automated control tasks

Abstract

Proposition to use membership functions of fuzzy sets without limitation between 0 and 1 is presented. It is established that there are real control tasks and data analysis tasks in which it is expedient to use membership function values from 0 to infinity. Example with ship stabilizer fuzzy control system is considered in detail. Article may be useful for engineers who want their fuzzy control systems take into account possible extraordinary values of input variables, but in its everyday work remained within the reasonable ranges of values.