Title :
Y-N Sets and the Category of Y-N Sets
Author :
Li Xiao-shen ; Yuan Xue-hai
Author_Institution :
Sch. of Math. Sci., Dalian Univ. of Technol., Dalian, China
Abstract :
In order to describe complicated concepts, the concept of Y-N set is introduced. Firstly, the operations on Y-N sets such as union, intersection, difference and complement of Y-N sets are presented. Secondly, the definitions of image and preimage of a Y-N set under a mapping are given and the properties of the image and preimage are discussed. Finally, a category YNSet of Y-N sets is established and it is proved that the category YNSet is a weak topos.
Keywords :
fuzzy set theory; Y-N set complement; Y-N set difference; Y-N set intersection; Y-N set union; image; preimage; Equalizers; Fuzzy sets; Fuzzy systems; Knowledge engineering;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.601
