Some Aspects of 2-Fuzzy 2-Normed Linear Spaces
Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 2
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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.
Classification :
46B20, 46B99, 46A19, 46A99, 47H10.
@article{BMMS_2009_32_2_a8,
author = {R. M. Somasundaram and Thangaraj Beaula},
title = {Some {Aspects} of {2-Fuzzy} {2-Normed} {Linear} {Spaces}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2009},
volume = {32},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2009_32_2_a8/}
}
R. M. Somasundaram; Thangaraj Beaula. Some Aspects of 2-Fuzzy 2-Normed Linear Spaces. Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2009_32_2_a8/