Title :
Geometric Type-1 and Type-2 Fuzzy Logic Systems
Author :
Coupland, Simon ; John, Robert
Author_Institution :
Centre for Computational Intelligence, De Montfort Univ., Leicester
Abstract :
This paper presents a novel approach to the representation of type-1 and type-2 fuzzy sets utilising computational geometry. To achieve this our approach borrows ideas from the field of computational geometry and applies these techniques in the novel setting of fuzzy logic. We provide new algorithms for various operations on type-1 and type-2 fuzzy sets and for defuzzification. Results of experiments indicate that this approach reduces the execution speed of these operations
Keywords :
computational geometry; fuzzy logic; fuzzy set theory; computational geometry; fuzzy sets; geometric type-1 fuzzy logic system; geometric type-2 fuzzy logic systems; Application software; Computational complexity; Computational geometry; Consumer products; Control systems; Councils; Fuzzy logic; Fuzzy sets; Fuzzy systems; Uncertainty; Computational geometry; geometric approach; type-2 fuzzy logic;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2006.889764
