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
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"
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Print_ISBN :
978-1-4244-3596-8
DOI :
10.1109/FUZZY.2009.5277357
