Computing with words and its relationships with fuzzistics
Information Sciences: an International Journal
An efficient centroid type-reduction strategy for general type-2 fuzzy logic system
Information Sciences: an International Journal
Information Sciences: an International Journal
Enhanced Karnik-Mendel algorithms
IEEE Transactions on Fuzzy Systems
α-plane representation for type-2 fuzzy sets: theory and applications
IEEE Transactions on Fuzzy Systems
Perceptual reasoning for perceptual computing: a similarity-based approach
IEEE Transactions on Fuzzy Systems
Uncertainty measures for general type-2 fuzzy sets
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
An evolutive interval type-2 TSK fuzzy logic system for volatile time series identification
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Uncertainty measures for general Type-2 fuzzy sets
Information Sciences: an International Journal
Study on enhanced Karnik-Mendel algorithms: Initialization explanations and computation improvements
Information Sciences: an International Journal
Analytical solution methods for the fuzzy weighted average
Information Sciences: an International Journal
Interval type-2 fuzzy markov chains: type reduction
ICIC'11 Proceedings of the 7th international conference on Advanced Intelligent Computing Theories and Applications: with aspects of artificial intelligence
Multiattribute decision making based on interval-valued intuitionistic fuzzy values
Expert Systems with Applications: An International Journal
Computing optimal solutions of a linear programming problem with interval type-2 fuzzy constraints
HAIS'12 Proceedings of the 7th international conference on Hybrid Artificial Intelligent Systems - Volume Part I
Exact inversion of decomposable interval type-2 fuzzy logic systems
International Journal of Approximate Reasoning
Overview of Type-2 Fuzzy Logic Systems
International Journal of Fuzzy System Applications
Journal of Computer and System Sciences
A closed form type reduction method for piecewise linear interval type-2 fuzzy sets
International Journal of Approximate Reasoning
On type-2 fuzzy sets and their t-norm operations
Information Sciences: an International Journal
On type-2 fuzzy relations and interval-valued type-2 fuzzy sets
Fuzzy Sets and Systems
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Computing the centroid of an interval T2 FS is an important operation in a type-2 fuzzy logic system (where it is called type-reduction), but it is also a potentially time-consuming operation. The Karnik-Mendel (KM) iterative algorithms are widely used for doing this. In this paper, we prove that these algorithms converge monotonically and super-exponentially fast. Both properties are highly desirable for iterative algorithms and explain why in practice the KM algorithms have been observed to converge very fast, thereby making them very practical to use