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A fuzzy linear regression model for interval type-2 fuzzy sets

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2 Author(s)
Poleshchuk, O. ; Dept. of Electron. & Comput., Moscow State Forest Univ., Moscow, Russia ; Komarov, E.

This paper presents a regression model for interval type-2 fuzzy sets based on the least squares estimation technique. Unknown coefficients are assumed to be triangular fuzzy numbers. The basic idea is to determine aggregation intervals for type-1 fuzzy sets, membership functions of whose are low membership function and upper membership function of interval type-2 fuzzy set. These aggregation intervals were called weighted intervals. Low and upper membership functions of input and output interval type-2 fuzzy sets for developed regression models are considered as piecewise linear functions.

Published in:

Fuzzy Information Processing Society (NAFIPS), 2012 Annual Meeting of the North American

Date of Conference:

6-8 Aug. 2012