## 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.

### MSC:

 46S40 Fuzzy functional analysis 26E50 Fuzzy real analysis

Zbl 0858.46057