Title :
A Simple Method for Performing Type-2 Fuzzy Set Operations Based on Highest Degree of Intersection Hyperplane
Author :
Tahayori, Hooman ; Antoni, Giovanni Degli
Author_Institution :
Univ. degli Studi di Milano, Milano
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.
Keywords :
fuzzy set theory; degree of intersection hyperplane; type-2 fuzzy set operations; Computational complexity; Decision making; Fuzzy logic; Fuzzy set theory; Fuzzy sets; High performance computing; Humans; Uncertainty;
Conference_Titel :
Fuzzy Information Processing Society, 2007. NAFIPS '07. Annual Meeting of the North American
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-1213-7
Electronic_ISBN :
1-4244-1214-5
DOI :
10.1109/NAFIPS.2007.383873
