In this paper (∈ , ∈∨q)-fuzzy equivalence relations are defined and some of their properties are studied. The partition of an (∈ , ∈∨q)-fuzzy equivalence relation is studied. It is shown that under a semibalanced mapping the preimage of an (∈ , ∈∨q)-fuzzy equivalence relation is an (∈ , ∈∨q)-fuzzy equivalence relation, whereas the image of an (∈ , ∈∨q)-fuzzy equivalence relation under a balanced mapping is an (∈, ∈∨q)-fuzzy equivalence relation. To conclude, (∈ , ∈∨q)-fuzzy indistinguishability relations are defined and some of their properties are studied.
Fuzzy set Fuzzy equivalence relation Fuzzy G-equivalence relation Fuzzy partition Fuzzy indistinguishability operator 2000 AMS Classification: 03 B 52
Birincil Dil | İngilizce |
---|---|
Konular | İstatistik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Mart 2011 |
Yayımlandığı Sayı | Yıl 2011 Cilt: 40 Sayı: 3 |