Refinement geometric algorithms for type-2 fuzzy set operations

Authors:
Long Thanh Ngo;Long The Pham;Phuong Hoang Nguyen;Kaoru Hirota
Affiliations:
Center of Simulation Technology, Le Quy Don University of Technology, Hanoi, Vietnam;Center of Simulation Technology, Le Quy Don University of Technology, Hanoi, Vietnam;Center of Health Information Technology, Ministry of Health, Hanoi, Vietnam;Tokyo Institute of Technology, Nagatsuta, Midori-ku, Yokohama, Japan
Venue:
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Year:
2009

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Abstract

The paper deals with an approach to applications of Ɛ-approximate representation of type-2 fuzzy sets using triangulated irregular network (TIN). Geometric algorithms are designed for operations of type-2 fuzzy sets without using manner of upper or lower surfaces. Operations involving meet under minimum, join under minimum, negation, inference process of type-2 fuzzy sets are presented as applications of geometric representation to operations of type-2 fuzzy sets.