DO FUZZY QUANTUM STRUCTURES EXIST

Recently, some fuzzy quantum structures were introduced. We focus on t he fuzzy quantum logics arising from the isomorphism of some quantum l ogics and some systems of fuzzy subsets of the ordering sets of states . In general, a fuzzy quantum logic is equipped with the pointwise-def ined fuzzy connectives generated by a common generator g. Stressing th e pointwise nature of fuzzy structures and omitting the global propert ies of quantum elements, we find that only crisp values of elements of a fuzzy quantum logic are allowed. Consequently, fuzzy quantum struct ures do not exist! However, there exist quantum structures of fuzzy su bsets.