ZSlices based general type-2 fuzzy sets and systems

This chapter provides a concise introduction to zSlices based general type-2 fuzzy sets and their associated set-theoretic operations. zSlices based general type-2 fuzzy sets allow the representation of and computation with general type-2 fuzzy sets by modeling each fuzzy set as a series of zSlices, i.e., modified interval type-2 fuzzy sets, thus greatly reducing computational as well as design and implementation complexity. The chapter proceeds to illustrate the role and application of zSlices based general type-2 fuzzy sets as part of general type-2 fuzzy systems and reviews their utility as part of both traditional, control style, as well as more recent applications such as fuzzy set based agreement modeling. © 2013 Springer Science+Business Media New York.