| Authors: | Šešelja, Branimir Tepavčević, Andreja |
Title: | A note on a natural equivalence relation on fuzzy power set | Journal: | Fuzzy Sets and Systems | Volume: | 148 | Issue: | 2 | First page: | 201 | Last page: | 210 | Issue Date: | 1-Dec-2004 | Rank: | M22 | ISSN: | 0165-0114 | DOI: | 10.1016/j.fss.2003.10.025 | Abstract: | The necessary and sufficient conditions under which two fuzzy sets with the same domain have equal families of cut sets are given. Consequently, there is a corresponding equivalence relation on the related fuzzy power set. The collection of classes under this relation can be ordered, and we give a necessary and sufficient condition under which it is a lattice. |
Keywords: | Closure | Cut | Equivalent fuzzy sets | Lattice valued fuzzy set | Publisher: | Elsevier | Project: | Serbian Ministry of Science and Technology, Grant No. 1227 |
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