Title
A note on a natural equivalence relation on fuzzy power set
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.
Year
DOI
Venue
2004
10.1016/j.fss.2003.10.025
Fuzzy Sets and Systems
Keywords
Field
DocType
primary 03B52,03E72,secondary 06A15
Discrete mathematics,Equivalence relation,Defuzzification,Binary relation,Fuzzy set operations,Fuzzy set,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
148
2
0165-0114
Citations 
PageRank 
References 
17
1.08
5
Authors
2
Name
Order
Citations
PageRank
Branimir Šešelja117023.33
Andreja Tepavcevic214322.67