Title :
Hedge Algebraic Type-2 Fuzzy Sets
Author :
Khang, Tran Dinh ; Phong, Phan Anh ; Dong, Dinh Khac ; Trang, Cao Minh
Author_Institution :
Hanoi Univ. of Technol., Hanoi, Vietnam
Abstract :
In this paper, we propose a new class of type-2 fuzzy sets: Hedge Algebraic Type-2 Fuzzy Sets - HaT2FS. The particular feature of HaT2FS is that the membership grades of each element are linguistic truth values of hedge algebras. We consider some important aspects of this class of type-2 fuzzy sets: operations on linguistic truth values including linguistic aggregation, meet and join; HaT2FSs representation by hedge union of k-level embedded HaT2FSs; and intersection, union and complement operations on HaT2FSs.
Keywords :
fuzzy set theory; complement operation; hedge algebraic type-2 fuzzy sets; hedge algebras; hedge union; intersection operation; linguistic aggregation; linguistic join; linguistic meet; linguistic truth values; union operation; Approximation algorithms; Approximation methods; Fuzzy sets; Generators; Pragmatics; Semantics;
Conference_Titel :
Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
978-1-4244-6919-2
DOI :
10.1109/FUZZY.2010.5584108
