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An approximation method for Type reduction of an Interval Type-2 fuzzy set based on α-cuts

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1 Author(s)
Figueroa Garcia, J.C. ; Math. Modeling Appl. to Ind. (MMAI) & Lab. for Autom., Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia

This paper shows a proposal for Type-reduction of an Interval Type-2 fuzzy set composed from α-cuts done over its primary membership functions. The definition of available Type-reduction methods for Interval Type-2 fuzzy sets are based on an homogeneous subdivision of the universe of discourse, so we propose an approximation algorithm for Type-reduction of an Interval type-2 fuzzy set through its primary α-cuts. Some definitions about the α-cut of a Type-2 fuzzy set are provided and used for computing the centroid of an Interval Type-2 fuzzy set through a mapping of its membership function, instead of its universe of discourse.

Published in:

Computer Science and Information Systems (FedCSIS), 2012 Federated Conference on

Date of Conference:

9-12 Sept. 2012

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