Juzzy Constrained: Software for Constrained Interval Type-2 Fuzzy Sets and Systems in Java

Abstract

Constrained interval type-2 (CIT2) fuzzy sets are a class of type-2 fuzzy sets that has been recently proposed as a way to extend type-1 membership functions to interval type-2 (IT2) while keeping a semantic connection between the IT2 fuzzy set and the concept it models. Recent work has shown how their mathematical properties can be used to design CIT2 fuzzy logic systems that are able to provide explanations for their outputs. Although the CIT2 representation can be a valuable alternative to the IT2 one, no software library for their implementation is available for the research community. The aim of this paper is to introduce a new Java library, Juzzy Constrained, that has been developed as an extension of the popular type-1 and type-2 Java toolkit Juzzy, adding support for CIT2 sets and systems. Throughout the paper, the main classes and the structure of the new library are described, together with a working example that illustrates how to build a CIT2 fuzzy system from scratch and how it can be used to produce explanations for the output.

Implementation of Type-2 Fuzzy Controller in Matlab Software

“…Several toolboxes for working with type-2 controllers are described in the literature, they are built not only in Matlab software [11,12] but also with the usage of different languages e.g. Java [13,14], R language [15] or Python [16]. However, they are characterized by limitations in applications, the vast majority are limited to interval controllers, or without the possibility of any significant changes int the controller's structure.…”