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
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

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