Title :
Fast and direct Karnik-Mendel algorithm computation for the centroid of an interval type-2 fuzzy set
Author :
Liu, Xinwang ; Qin, Yong ; Wu, Lingyao
Author_Institution :
Sch. of Econ. & Manage., Southeast Univ., Nanjing, China
Abstract :
Karnik-Mendel (KM) algorithms type reduction are commonly used in the centroid computation of interval type-2 fuzzy logic systems (IT2 FLSs). Some properties and improvements of the KM algorithms have be proposed. This paper proposed a new iteration formula for the centroid computation of interval type-2 fuzzy sets, which is faster than the current computation methods and can be used as a direct method for the centroid computation of interval type-2 fuzzy sets.
Keywords :
fuzzy logic; fuzzy set theory; fuzzy systems; geometry; iterative methods; IT2 FLS; Karnik-Mendel algorithm type reduction; centroid computation; interval type-2 fuzzy logic systems; interval type-2 fuzzy sets; iteration formula; Algorithm design and analysis; Convergence; Educational institutions; Electronic mail; Frequency selective surfaces; Fuzzy logic; Uncertainty;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on
Conference_Location :
Brisbane, QLD
Print_ISBN :
978-1-4673-1507-4
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZ-IEEE.2012.6251211