Uncertainty measures for interval type-2 fuzzy sets

D Wu, JM Mendel - Information sciences, 2007 - Elsevier
Fuzziness (entropy) is a commonly used measure of uncertainty for type-1 fuzzy sets. For
interval type-2 fuzzy sets (IT2 FSs), centroid, cardinality, fuzziness, variance and skewness …

Enhanced interval approach for encoding words into interval type-2 fuzzy sets and its convergence analysis

D Wu, JM Mendel, S Coupland - IEEE transactions on fuzzy …, 2011 - ieeexplore.ieee.org
Construction of interval type-2 fuzzy set models is the first step in the perceptual computer,
which is an implementation of computing with words. The interval approach (IA) has, so far …

Uncertainty measures for general type-2 fuzzy sets

D Zhai, JM Mendel - Information Sciences, 2011 - Elsevier
Five uncertainty measures have previously been defined for interval Type-2 fuzzy sets (IT2
FSs), namely centroid, cardinality, fuzziness, variance and skewness. Based on a recently …

Fuzzy decision making systems based on interval type-2 fuzzy sets

SM Chen, CY Wang - Information sciences, 2013 - Elsevier
In this paper, we present a new method for fuzzy multiple attributes decision making based
on interval type-2 fuzzy sets. First, we present a new fuzzy ranking method based on the α …

Optimal design of type-2 and type-1 fuzzy tracking controllers for autonomous mobile robots under perturbed torques using a new chemical optimization paradigm

P Melin, L Astudillo, O Castillo, F Valdez… - Expert Systems with …, 2013 - Elsevier
This paper addresses the tracking problem for the dynamic model of a unicycle mobile robot.
A novel optimization method inspired on the chemical reactions is applied to solve this …

Design of interval type-2 fuzzy sliding-mode controller

MY Hsiao, THS Li, JZ Lee, CH Chao, SH Tsai - Information Sciences, 2008 - Elsevier
In this paper, an interval type-2 fuzzy sliding-mode controller (IT2FSMC) is proposed for
linear and nonlinear systems. The proposed IT2FSMC is a combination of the interval type-2 …

Linguistic summarization using IF–THEN rules and interval type-2 fuzzy sets

D Wu, JM Mendel - IEEE Transactions on Fuzzy Systems, 2010 - ieeexplore.ieee.org
Linguistic summarization (LS) is a data mining or knowledge discovery approach to extract
patterns from databases. Many authors have used this technique to generate summaries like …

A new fuzzy bee colony optimization with dynamic adaptation of parameters using interval type-2 fuzzy logic for tuning fuzzy controllers

L Amador-Angulo, O Castillo - Soft Computing, 2018 - Springer
This paper presents a new fuzzy bee colony optimization method to find the optimal
distribution of the membership functions in the design of fuzzy controllers for complex …

A fast geometric method for defuzzification of type-2 fuzzy sets

S Coupland, R John - IEEE Transactions on Fuzzy Systems, 2008 - ieeexplore.ieee.org
Generalized type-2 fuzzy logic systems cannot currently be used for practical problems
because the amount of computation required to defuzzify a generalized type-2 fuzzy set is …

New geometric inference techniques for type-2 fuzzy sets

S Coupland, R John - International journal of approximate reasoning, 2008 - Elsevier
This paper presents new techniques for performing logical operations on type-2 fuzzy sets.
These techniques make significant use of geometric methods to give, for the first time, logic …