Table 15 Nomenclature.

CFS

Complex fuzzy set

CIFS

Complex intuitionistic fuzzy set

CPyFS

Complex Pythagorean fuzzy set

FRS

Fuzzy rough set

IFRS

Intuitionistic fuzzy rough set

PyFRS

Pythagorean fuzzy rough set

CPyFRS

Complex Pythagorean fuzzy rough set

CPyFRN

Complex Pythagorean fuzzy rough number

CPyFRYWA AOs

Complex Pythagorean fuzzy rough Yager weighted average aggregation operators

CPyFRYWG AOs

Complex Pythagorean fuzzy rough Yager weighted geometric aggregation operators

WASPAS

Weighted Aggregated Sum Product Assessment

\(\:\left(\left({\varvec{\alpha\:}}_{\overline{\mathcal{R}\mathcal{\:}}}+\varvec{\iota\:}{\varvec{\beta\:}}_{\overline{\mathcal{R}\mathcal{\:}}},{\varvec{\delta\:}}_{\overline{\mathcal{R}\mathcal{\:}}}+\varvec{\iota\:}{\varvec{\gamma\:}}_{\overline{\mathcal{R}\mathcal{\:}}}\right),\left({\varvec{\alpha\:}}_{\underline{R}}+\varvec{\iota\:}{\varvec{\beta\:}}_{\underline{R}},{\varvec{\delta\:}}_{\underline{R}}+\varvec{\iota\:}{\varvec{\gamma\:}}_{\underline{R}}\right)\right)\)

\(\:{\alpha\:}_{\overline{\mathcal{R}\mathcal{\:}}}=\)Real part of upper approximation of membership grade

\(\:{\beta\:}_{\overline{\mathcal{R}\mathcal{\:}}}\)= Imaginary part of upper approximation of membership grade

\(\:{\delta\:}_{\overline{\mathcal{R}\mathcal{\:}}}\)= Real part of upper approximation of non-membership grade

\(\:{\gamma\:}_{\overline{\mathcal{R}\mathcal{\:}}}\)= Imaginary part of upper approximation of non-membership grade

\(\:{\alpha\:}_{\underline{R}}\)= Real part of lower approximation of membership grade

\(\:{\beta\:}_{\underline{R}}\)= Imaginary part of lower approximation of membership grade

\(\:{\delta\:}_{\underline{R}}\)= Real part of lower approximation of non-membership grade

\(\:{\gamma\:}_{\underline{R}}\)= Imaginary part of lower approximation of non-membership grade

\(\:{\varvec{A}}_{\varvec{L}}\)

This symbol is used as an alternative.

\(\:{\varvec{A}}_{\varvec{T}}\)

This symbol is used for attributes.