Volume 32 • Number 2 • 2009   • Some Aspects of 2-Fuzzy 2-Normed Linear Spaces R. M. Somasundaram and Thangaraj Beaula Abstract. This paper defines the concept of 2-fuzzy 2-normed linear space. In the 2-fuzzy 2-normed space, α-2-norm is defined corresponding to the fuzzy 2-norm. Standard results in fuzzy 2-normed linear spaces are extended to 2-fuzzy 2-normed linear spaces. The famous closed graph theorem and the Reisz theorem is proved in the realm of 2-fuzzy 2-normed linear spaces. 2000 Mathematics Subject Classification: 46B20, 46B99, 46A19, 46A99, 47H10. Full text: PDF