DocumentCode
507266
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
Volume
6
fYear
2009
fDate
14-16 Aug. 2009
Firstpage
494
Lastpage
497
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location
Tianjin
Print_ISBN
978-0-7695-3735-1
Type
conf
DOI
10.1109/FSKD.2009.601
Filename
5359901
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