Absolute value of fuzzy real numbers and fuzzy sequence spaces. (English) Zbl 1012.46064

The authors redefine the absolute value of a fuzzy real number and give some examples to show that the earlier definition [see N. R. Das, P. Das and A. Choudhury, J. Fuzzy Math. 46, 421-433 (1996; Zbl 0858.46057)] is incomplete. Then, for a fuzzy normed linear space \((X,\|\cdot\|)\), they discuss the \(X\)-valued sequence space, especially the \(X\)-valued convergent sequence space \(c_F(x)\). Finally, they also point out two errors in earlier papers.


46S40 Fuzzy functional analysis
26E50 Fuzzy real analysis


Zbl 0858.46057