General type-2 fuzzy logic systems based on refinement constraint triangulated irregular network

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 re...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2013, Vol.25 (3), p.771-784
Main Author: Ngo, Long Thanh
Format: Article
Language:English
Subjects:
Computation
Fuzzy logic
Fuzzy set theory
Mathematical analysis
Mathematical models
Networks
Robots
Tin
Online Access:Get full text
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Summary: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.
ISSN:1064-1246
DOI:10.3233/IFS-120683