On Approximate Representation of Type-2 Fuzzy Sets Using Triangulated Irregular Network

Authors:
Long Thanh Ngo;Long Pham The;Phuong Hoang Nguyen;Kaoru Hirota
Affiliations:
Center of Simulation Technology, Le Quy Don Technical Universiy, Hanoi, Vietnam;Center of Simulation Technology, Le Quy Don Technical Universiy, Hanoi, Vietnam;Center of Health Information Technology, Hanoi, Vietnam;Department of Computational Intelligence and Systems Science, Graduate School of Science and Engineering, Tokyo Institute of Technology, G3-49, 4259 Nagatsuta, Modori-ku, Yokohama 226-8502, Japan
Venue:
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Year:
2007

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Abstract

The type-2 fuzzy sets was extended of original fuzzy sets and there are many researches related to type-2 fuzzy sets and fuzzy logic systems (FLS), recently. The paper deals with the approximate presentation of type-2 fuzzy sets and operations by using triangulated irregular networks (TIN). TIN usually used to represent approximate 3-D surfaces with applications in computer graphics. By using TINs and half-edge structure, authors proposed representation and operations of type-2 fuzzy sets based on this approach. Some results compared with original approaches are shown to confirm the approach be good and correctly.