Title :
The Categories of the 3-dimensional Fuzzy Sets
Author :
Ke-Quan, Gao ; Xiao-shen, Li ; Xue-Hai, Yuan
Author_Institution :
Sch. of Math. Stat., Henan Univ. of Sci. & Technol., Luoyang, China
Abstract :
The connection of the 3-dimensional fuzzy sets with topos theory is considered. The category TFuz of the 3-dimensional fuzzy sets is constructed. It is shown that the category TFuz has all topos properties except Sub object Classifiers. It is also proved that the category TFuz has a middle object, and consequently forms a weak topos.
Keywords :
category theory; fuzzy set theory; 3D fuzzy sets; category theory; subobject classifier; topos theory; Barium; Conferences; Electrical engineering; Equalizers; Fuzzy sets; Fuzzy systems;
Conference_Titel :
Artificial Intelligence and Computational Intelligence (AICI), 2010 International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-8432-4
DOI :
10.1109/AICI.2010.235
