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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

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2 Author(s)
Christian Wagner ; Computational Intelligence Centre, School of Computer Science and Electronic Engineering, University of Essex, Colchester CO4 3SQ, U.K. ; Hani Hagras

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.

Published in:

Fuzzy Systems (FUZZ), 2010 IEEE International Conference on

Date of Conference:

18-23 July 2010