Fourier spectrum of credibility distribution for fuzzy variables.

Based on the credibility distributions which are analytic expressions of fuzzy variables, Fourier spectrum of credibility distribution for fuzzy variable, a useful mathematical analytic tool dealing with fuzzy variables, is introduced. Then several elementary properties of Fourier spectrums of credibility distributions for fuzzy variables are studied. Furthermore some relations between credibility distributions and Fourier spectrums such as inversion formula and uniqueness theorem are established. [ABSTRACT FROM AUTHOR]