Volume 33, No. 4, pp. 835-848, October 2007
Abstract. In this article we introduce the notion of different types of statistically convergent and statistically null fuzzy real-valued double sequence spaces. We study their different properties like solidness, symmetric, convergence free, sequence algebra etc. The fuzzy real-valued Cesàro summable double sequence space is introduced. A relation between strongly -Cesàro summability and bounded statistically convergent double sequences has been established.
Received September 28, 2006; revised June 7, 2007.
AMS Subject Classification. 40A05, 40A25, 40A30, 40C05.
Key words. fuzzy real-valued double sequence, solid space, symmetric space, convergence free, sequence algebra, density, statistical convergence, Cesàro summable, statistically Cauchy.