DocumentCode
3633311
Title
Representation by cuts in the framework of relational valued fuzzy sets
Author
Branimir Seselja;Andreja Tepavcevic
Author_Institution
Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovi?a 4, 21000 Novi Sad, Serbia
fYear
2009
Firstpage
1656
Lastpage
1659
Abstract
Generalized or relational valued fuzzy sets are mappings from a set X to a relational system S=(S,p). Representation of collections of subsets by relational valued fuzzy sets in the cutworthy framework is presented. It is proved that for every collection F of subsets of a set X there is a relational system S=(S,p) and a fuzzy set mu:XrarrS, such that the collection of cuts of mu coincides with F.
Keywords
"Fuzzy sets","Lattices","Fuzzy set theory","Filters","Fuzzy systems","Codes","Mathematics","Informatics"
Publisher
ieee
Conference_Titel
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
ISSN
1098-7584
Print_ISBN
978-1-4244-3596-8
Type
conf
DOI
10.1109/FUZZY.2009.5277357
Filename
5277357
Link To Document