In a different sense to Rosenfeld's approach (J. Math. Anal. Appl. 35 (1971
) 512-517), considering the fuzziness on the group operation a new kind of
group structure on a crisp set is introduced and some of its properties are
presented based on the concept of fuzzy function. (C) 2001 Elsevier Scienc
e B.V. All rights reserved.