Authors: Šešelja, Branimir
Tepavčević, Andreja 
Title: Representation by cuts in the framework of relational valued fuzzy sets
Journal: IEEE International Conference on Fuzzy Systems
First page: 1656
Last page: 1659
Conference: 2009 IEEE International Conference on Fuzzy Systems; Jeju Island; South Korea; 20 August 2009 through 24 August 2009
Issue Date: 10-Dec-2009
Rank: M33
ISBN: 978-142443597-5
ISSN: 1098-7584
DOI: 10.1109/FUZZY.2009.5277357
Abstract: 
Generalized or relational-valued fuzzy sets are mappings from a set X to a relational system S = (S, ρ). 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, ρ) and a fuzzy set μ : X → S, such that the collection of cuts of μ coincides with F.
Keywords: Relational systems | Fuzzy sets
Publisher: IEEE

Show full item record

Page view(s)

24
checked on Jan 31, 2023

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.