Abstract
A fuzzy point group has been constructed to describe imperfect molecular symmetry by using fuzzy set theory. Then the fuzzy symmetry of the molecular orbital has also been analyzed, and several concepts, such as fuzzy irreducible representation and fuzzy characters (fuzzy generalized parity) for molecular orbitals have been advanced. The results show that sometimes the symmetry of the molecule as a whole is not obvious, however, that of some molecular orbital may be obvious. Although oscillator strength in the electronic spectrum is not determined solely by fuzzy symmetry, it is obviously related to the fuzzy symmetry, which seems to be a fuzzy rule for the electronic spectrum.
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