# IJPAM: Volume 78, No. 4 (2012)

MULTIPLIER GENERALIZED DOUBLE SEQUENCE SPACES
OF FUZZY NUMBERS DEFINED BY A SEQUENCE
OF ORLICZ FUNCTIONS

Kuldip Raj, Seema Jamwal, Sunil K. Sharma
School of Mathematics
Shri Mata Vaishno Devi University
Katra, 182320, J&K, INDIA

Abstract. In this paper we introduce multiplier generalized double sequence spaces of fuzzy numbers defined by a sequence of Orlicz functions and multiplier function . We also make an effort to prove some topological properties and inclusion relation between these spaces.

AMS Subject Classification: 40A05, 40D25

Key Words and Phrases: fuzzy numbers, Musielak-Orlicz function, de La Vallee Poussin means, statistical convergence, multiplier function