An approach for the generation and adaptation of zSlices based general type-2 fuzzy sets from interval type-2 fuzzy sets to model agreement with application to Intelligent Environments

In this paper, we present a novel technique to generate zSlices based general type-2 fuzzy sets using a series of interval type-2 fuzzy sets based around the notion of "agreement" of interval type-2 fuzzy sets. We provide details on how this approach can be applied for a series of readily available interval type-2 fuzzy sets as well as how the proposed approach can be employed to generate zSlices based general type-2 fuzzy sets which are continually updated as new interval type-2 fuzzy sets become available over time. We also describe the proposed approach in the context of Ambient Intelligent Environments (AIEs) which illustrate the benefits of a continuously updated general type-2 membership function and its potential advantage over interval type-2 fuzzy logic based approaches. Subsequently, we demonstrate the approach based on triangular interval type-2 fuzzy sets and we highlight the remaining complexities and complications in terms of the implementation of the proposed technique which stem from the potential for the creation of non-convex fuzzy sets and propose solutions for these problems.