| 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 |
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