A New Way to Represent the Relative Position between Areal Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Centroid of a type-2 fuzzy set
Information Sciences: an International Journal
An efficient centroid type-reduction strategy for general type-2 fuzzy logic system
Information Sciences: an International Journal
New geometric inference techniques for type-2 fuzzy sets
International Journal of Approximate Reasoning
On Approximate Representation of Type-2 Fuzzy Sets Using Triangulated Irregular Network
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Efficient triangular type-2 fuzzy logic systems
International Journal of Approximate Reasoning
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Refinement geometric algorithms for type-2 fuzzy set operations
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
α-plane representation for type-2 fuzzy sets: theory and applications
IEEE Transactions on Fuzzy Systems
Toward general type-2 fuzzy logic systems based on zSlices
IEEE Transactions on Fuzzy Systems
Uncertainty measures for general Type-2 fuzzy sets
Information Sciences: an International Journal
Type-2 FLCs: A New Generation of Fuzzy Controllers
IEEE Computational Intelligence Magazine
IEEE Transactions on Fuzzy Systems
Interval type-2 fuzzy logic systems: theory and design
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots
IEEE Transactions on Fuzzy Systems
Interval Type-2 Fuzzy Logic Systems Made Simple
IEEE Transactions on Fuzzy Systems
Geometric Type-1 and Type-2 Fuzzy Logic Systems
IEEE Transactions on Fuzzy Systems
A Fast Geometric Method for Defuzzification of Type-2 Fuzzy Sets
IEEE Transactions on Fuzzy Systems
An Enhanced Type-Reduction Algorithm for Type-2 Fuzzy Sets
IEEE Transactions on Fuzzy Systems
Delaunay refinement algorithms for triangular mesh generation
Computational Geometry: Theory and Applications
Computing the Centroid of a General Type-2 Fuzzy Set by Means of the Centroid-Flow Algorithm
IEEE Transactions on Fuzzy Systems
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Triangulated irregular network TIN has used to represent 3-dimensional surfaces by dividing domain into irregular sub-triangles and approximately represent using piecewise linear functions. Hence, TIN are also used to approximately represent membership functions of general type-2 fuzzy sets for reducing computational complexity. To support speed-up in computation of operations of type-2 fuzzy sets, a refinement CTIN is proposed by combining contour model and constraint Delaunay criteria. So a type-2 fuzzy set is also represented by RCTIN in the same way. The paper deals with the use RCTIN to represent general type-2 fuzzy sets. On the basis of RCTIN representation theorem, algorithms for operations and general type-2 fuzzy logic systems GT2FLS are proposed. A T2FLS is designed and implemented in comparing previous approaches under an application of obstacle avoidance of robot navigation.