FUZZY BANACH ALGEBRA

In this paper first we show that there is a logical gap on the fuzzy norm which is used in the theorem (1.2) in [2] so that this theorem in [1] and all related theorems assumed in [1] and [2] do not hold true. Then we revise and correct the definition of fuzzy function N(x,T) to get a fuzzy norm in the theorem (1.2) in [2]. By using the revised fuzzy norm in the theorem (2.6) instead, the theorem and all related results will remain true. We also give the definition of fuzzy Banach algebra and get some results.

Keywords:

fuzzy normed spaces , fuzzy bounded operator