Regarding the three dimensional nature of type-2 fuzzy sets their related operations are costly, in terms of time and computation, which is one of the main burdens among the popularity of type-2 fuzzy sets. In this paper we will provide a novel method for performing type- 2 fuzzy set operations. We will prove that the operations would be simply performed based on the hyperplane of the highest degree of intersection of two type-1 fuzzy sets.
A Simple Method for Performing Type-2 Fuzzy Set Operations Based on Highest Degree of Intersection Hyperplane / H. Tahayori, G. Degli Antoni - In: Proceedings of the 2007 Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS 2007) / [a cura di] M. Reformat, M.R. Berthold. - [s.l] : IEEE Press, 2007 Jun 24. - ISBN 1-4244-1213-7. - pp. 404-409 (( convegno Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS tenutosi a San Diego nel 2007.
A Simple Method for Performing Type-2 Fuzzy Set Operations Based on Highest Degree of Intersection Hyperplane
H. TahayoriPrimo
;G. Degli AntoniUltimo
2007
Abstract
Regarding the three dimensional nature of type-2 fuzzy sets their related operations are costly, in terms of time and computation, which is one of the main burdens among the popularity of type-2 fuzzy sets. In this paper we will provide a novel method for performing type- 2 fuzzy set operations. We will prove that the operations would be simply performed based on the hyperplane of the highest degree of intersection of two type-1 fuzzy sets.
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