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

D'Alterio, Pasquale ; Garibaldi, Jonathan M.; John, Robert I.; Wagner, Christian

Authors

Pasquale D'Alterio pasquale.d'alterio@nottingham.ac.uk

Robert I. John robert.john@nottingham.ac.uk



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.

Citation

D'Alterio, P., Garibaldi, J. M., John, R. I., & Wagner, C. (2020). Juzzy Constrained: Software for Constrained Interval Type-2 Fuzzy Sets and Systems in Java. In Proceedings of IEEE World Congress on Computational Intelligence (WCCI) 2020

Conference Name IEEE World Congress on Computational Intelligence (WCCI) 2020
Start Date Jul 19, 2020
End Date Jul 24, 2020
Acceptance Date Mar 20, 2020
Online Publication Date Jul 24, 2020
Publication Date Jul 24, 2020
Deposit Date Aug 10, 2020
Publicly Available Date Aug 10, 2020
Book Title Proceedings of IEEE World Congress on Computational Intelligence (WCCI) 2020
Keywords Index Terms-Juzzy; Constrained Interval Type-2; XAI; type-2 fuzzy logic
Public URL https://nottingham-repository.worktribe.com/output/4825217
Related Public URLs https://wcci2020.org/
Additional Information © 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

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