Sign of the variable

Name of the variable

Meaning of the variable

$\tilde{\psi }\left(\overrightarrow{r},t\right)$

fuzzy wave function

Describing the fuzziness or inaccuracy of the values of the wave function

${\lambda }_{\tilde{\psi }}\left(\psi ,\overrightarrow{r},t\right)$

membership function

Describing the distribution of the credibility or truth value of the fuzzy probability wave taking all the possible values about the event $\left(\overrightarrow{r},t\right)$

${\lambda }_{\tilde{\psi }}\left(\rho ,\phi ,\overrightarrow{r},t\right)$

the equivalent form of membership function

ditto

${\lambda }_{\tilde{\psi }}\left(R,I,\overrightarrow{r},t\right)$

ditto

ditto

$\tilde{\omega }\left(\overrightarrow{r},t\right)$

fuzzy quantum

probability (density)

Describing the fuzziness or inaccuracy of the values of the quantum probability (density)

${\mu }_{\tilde{\psi }}\left(R,I,\overrightarrow{r},t\right)$

the normalized

membership function

Describing the relative distribution of the credibility or truth value of the fuzzy probability wave taking all the possible values about the event $\left(\overrightarrow{r},t\right)$

$g$

fuzzy source

Describing the distribution of the factors which lead to the fuzziness or inaccuracy of quantum probability

${\chi }_{\tilde{\psi }}\left(\psi ,\overrightarrow{r},t\right),{\chi }_{\tilde{\varphi }}\left(R,I,\overrightarrow{r},t\right)$

membership degree amplitude

There is no physical meaning in itself, and the square of its modulus represents the degree of membership. This is similar to probability wave or probability amplitude

$u\left(R,I,\overrightarrow{r},t\right),v\left(R,I,\overrightarrow{r},t\right)$

real and imaginary parts of ${\chi }_{\tilde{\varphi }}\left(R,I,\overrightarrow{r},t\right)$

${\psi }_{\chi }\left(\overrightarrow{r},t\right)$

one possible form with a membership degree amplitude $\chi$ of $\tilde{\psi }\left(\overrightarrow{r},t\right)$

Representing that the credibility or truth value of $\tilde{\psi }\left(\overrightarrow{r},t\right)$ taking such a form ${\psi }_{\chi }\left(\overrightarrow{r},t\right)$ is ${\left|\chi \right|}^2$

$\tilde{\varphi }\left(\overrightarrow{r},t\right)$

the normalized fuzzy wave function

Being similar to the above explanation

${\varphi }_{\chi }\left(\overrightarrow{r},t\right)$

being similar to the name of ${\psi }_{\chi }\left(\overrightarrow{r},t\right)$

Being similar to the above explanation

${\tilde{c}}_n\left(t\right)$

fuzzy probability amplitude

Being similar to the above explanation

$c_{n\chi }\left(t\right)$

being similar to the name of ${\psi }_{\chi }\left(\overrightarrow{r},t\right)$

Being similar to the above explanation

$X_n\left(u,v,t\right),Y_n\left(u,v,t\right)$

real and imaginary parts of $c_{n\chi }\left(t\right)$

the fuzzy probability for

Describing the fuzziness or inaccuracy of the values of the quantum probability for

Real and imaginary parts of

Real and imaginary parts of

real and imaginary parts of