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 Šešelja | 1 | 170 | 23.33 |
Andreja Tepavcevic | 2 | 143 | 22.67 |