Abstract: In this paper, the negations of type FI and type Fd on the post are introduced. A negation is directly related to the fuzziness. As applications of this negation, we give the mathematical definition of fuzziness and discuss its properties. Finally, the relative concepts, measure of fuzziness, semi-Morgan algebras, the sets of type FI and type Fd are also introduced.

Key words: negation of type FI, negation of type Fd, fuzziness, measure of fuzziness, semi-Morgan algebras, sets of type FI and type Fd

摘要： 本文提出了F_I型非和F_d型非的概念。讨论了它的性质,并给出了相应的模糊性、模糊度、半De Morgan代数,F_I集合,F_d集合等概念。

关键词: F_I型非, F_d型非, 模糊性, 模糊度, 半De Morgen代数, F_I&F_d集合