Authors: | Šešelja, Branimir Stojić, Dragan Tepavčević, Andreja |
Title: | On existence of P-valued fuzzy sets with a given collection of cuts | Journal: | Fuzzy Sets and Systems | Volume: | 161 | Issue: | 5 | First page: | 763 | Last page: | 768 | Issue Date: | 1-Mar-2010 | Rank: | M21a | ISSN: | 0165-0114 | DOI: | 10.1016/j.fss.2009.09.020 | Abstract: | A representation theorem of families of subsets by poset-valued fuzzy sets is presented. Namely, necessary and sufficient conditions are given under which for a given family of subsets F of a set X and a fixed poset P there is a fuzzy set μ : X {long rightwards arrow} P, such that the collection of cuts of μ coincides with F. |
Keywords: | Cut-sets | Poset-valued fuzzy sets | Representation by cuts | Publisher: | Elsevier | Project: | Algebarske strukture i metode za procesiranje informacija, 144011 Provincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina, Grant ‘Lattice methods and applications’ |
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