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

Ngo, L.T. (2013) General type-2 fuzzy logic systems based on refinement constraint triangulated irregular network. Journal of Intelligent and Fuzzy Systems, 25 (3). pp. 771-784. ISSN 10641246

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Abstract

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. © 2013 - IOS Press and the authors. All rights reserved.

Item Type: Article
Divisions: Faculties > Faculty of Information Technology
Identification Number: 10.3233/IFS-120683
Uncontrolled Keywords: General type-2 fuzzy; General type-2 fuzzy sets; Piece-wise linear functions; Representation theorem; Robot navigation; Triangulated irregular networks; Type-2 fuzzy logic system; Type-2 fuzzy set; Fuzzy logic; Fuzzy sets; Piecewise linear techniques; Triangulation; Fuzzy inference
Additional Information: Language of original document: English.
URI: http://eprints.lqdtu.edu.vn/id/eprint/10061

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