Hedge Algebraic Type-2 Fuzzy Sets

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:...

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Bibliographic Details
Main Authors: Tran Dinh Khang, Phan Anh Phong, Dinh Khac Dong, Cao Minh Trang
Format: Conference Proceeding
Language:English
Subjects:
Approximation algorithms
Approximation methods
Fuzzy sets
Generators
Pragmatics
Semantics
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Summary: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.
ISSN:1098-7584
DOI:10.1109/FUZZY.2010.5584108