Title :
The interval-valued fuzzy sets based on Flou sets
Author :
Hong-xia Li ; Kun Liu ; Zeng-Tai Gong
Author_Institution :
Coll. of Math. & Stat., Long Dong Univ., Qingyang, China
Abstract :
In this paper, the connection between Flou sets and interval-valued fuzzy sets is established. Firstly, by using the concept of Flou sets, Flou σ-algebras and Flou nested sets are presented. Secondly, it is shown that an interval-valued fuzzy set can be considered as an equivalent class of Flou nested set. Finally, the cut set of an interval-valued fuzzy set is introduced and its properties are discussed.
Keywords :
Boolean algebra; fuzzy set theory; Flou σ-algebras; Flou nested sets; interval-valued fuzzy sets; Abstracts; Cognition; Gold; Iron; Cut set; Flou set; Interval-valued fuzzy set; Nested set;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2013 International Conference on
Conference_Location :
Tianjin
DOI :
10.1109/ICMLC.2013.6890472
