Abstract
This chapter explains how to work with type-2 fuzzy sets (T2 FSs). Most of its topics are needed in the rest of this book. Coverage includes: set-theoretic operations (union, intersection, and complement) for general type-2 fuzzy sets (GT2 FSs) computed using the Extension Principle, set-theoretic operations for interval type-2 fuzzy sets (IT2 FSs), set-theoretic operations for GT2 FSs computed using horizontal slices, type-2 relations and compositions on the same product space and on different product spaces, compositions of a T2 FS with a type-2 relation, type-2 hedges, Extension Principle for IT2 and GT2 FSs, functions of GT2 FSs computed using \( \alpha \)-planes, Cartesian product of T2 FSs, implications, an appendix about the properties of T2 FSs and an appendix that has detailed proofs of many theorems. 27 examples are used to illustrate the chapter’s important concepts.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
