|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|
Show full item record
checked on Jan 30, 2023
checked on Jan 31, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.