A constrained representation theorem for well-shaped interval type-2 fuzzy sets, and the corresponding constrained uncertainty measures

D Wu, HT Zhang, J Huang - IEEE Transactions on Fuzzy …, 2018 - ieeexplore.ieee.org
The representation theorem for interval type-2 fuzzy sets (IT2 FSs), proposed by Mendel and
John, states that an IT2 FS is a combination of all its embedded type-1 (T1) FSs, which can …

Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: Part 2, inverse problems

JM Mendel, H Wu - IEEE Transactions on Fuzzy Systems, 2007 - ieeexplore.ieee.org
In Part 1 of this two-part paper, we bounded the centroid of a symmetric interval type-2 fuzzy
set (T2 FS), and consequently its uncertainty, using geometric properties of its footprint of …

Join and meet operations for type-2 fuzzy sets with nonconvex secondary memberships

G Ruiz, H Hagras, H Pomares, I Rojas… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
In this paper, we will present two theorems for the join and meet operations for general type-
2 fuzzy sets with arbitrary secondary memberships, which can be nonconvex and/or …

Interval type-2 neuro-fuzzy system with implication-based inference mechanism

K Siminski - Expert Systems with Applications, 2017 - Elsevier
Neuro-fuzzy systems have been proved to be an efficient tool for modelling real life systems.
They are precise and have ability to generalise knowledge from presented data. Neuro …

Multi-attribute decision making models under interval type-2 fuzzy environment

W Wang, X Liu - 2011 IEEE International Conference on Fuzzy …, 2011 - ieeexplore.ieee.org
Interval type-2 fuzzy sets, each of which is characterized by the footprint of uncertainty, are a
very useful means to depict the decision information in the process of decision making. In …

Embedded interval valued type-2 fuzzy sets

RI John - 2002 IEEE World Congress on Computational …, 2002 - ieeexplore.ieee.org
Type-2 fuzzy sets are growing in popularity as, for certain applications they model
uncertainty and imprecision better than type-1 fuzzy sets. However, type-2 fuzzy sets can be …

[PDF][PDF] A constrained representation theorem for interval type-2 fuzzy sets using convex and normal embedded type-1 fuzzy sets and its application to centroid …

D Wu - Proc. World Conf. Soft Comput., 2011 - researchgate.net
The Representation Theorem for interval type-2 fuzzy sets (IT2 FSs), proposed by Mendel
and John, states that an IT2 FS is a combination of all its embedded type-1 (T1) FSs, which …

Constrained interval type-2 fuzzy sets

P D'Alterio, JM Garibaldi, RI John… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In many contexts, type-2 fuzzy sets (T2 FS) are obtained from a type-1 fuzzy set to which we
wish to add uncertainty. However, in the current type-2 representation, there is no restriction …

An interval type-2 fuzzy logic toolbox for control applications

JR Castro, O Castillo, P Melin - 2007 IEEE international fuzzy …, 2007 - ieeexplore.ieee.org
This paper presents the development and design of a graphical user interface and a
command line programming toolbox for construction, edition and observation of interval type …

Interval type-2 fuzzy logic for intelligent control applications

JR Castro, O Castillo - NAFIPS 2007-2007 Annual Meeting of …, 2007 - ieeexplore.ieee.org
This paper presents the development and design of a graphical user interface and a
command line programming Toolbox for construction, edition and simulation of Interval Type …