Table 1 Nomenclature of this study.

From: An investigation on Pythagorean fuzzy \(\mathfrak {F_{p}^*}\) fraction dense space using Pythagorean fuzzy frames

Expansion

Abbreviation

Pythagorean fuzzy frame

PFF

Pythagorean fuzzy \(\mathfrak {F}_p^*\) structure space

PF\(\mathfrak {F}_p^*\)SS

Pythagorean fuzzy \(\mathfrak {F}_p^*\) open set

PF\(\mathfrak {F}_p^*\)OS

Pythagorean fuzzy \(\mathfrak {F}_p^*\) closed set

PF\(\mathfrak {F}_p^*\)CS

Pythagorean fuzzy \(\mathcal {G}\) closed set

PF\(\mathcal {G}\)CS

Pythagorean fuzzy \(\mathcal {G}^*\) closed set

PF\(\mathcal {G}^*\)CS

Pythagorean fuzzy \(\mathfrak {F}_p^*\) regular open set

PF\(\mathfrak {F}_p^*\)ROS

Pythagorean fuzzy \(\mathfrak {F}_p^*\) regular closed set

PF\(\mathfrak {F}_p^*\)RCS

Pythagorean fuzzy dense set

PFDS

Pythagorean fuzzy nowhere dense set

PFnWDS

Pythagorean somewhere dense set

PFsWDS

Pythagorean fuzzy cs-dense set

PFcsDS

Pythagorean fuzzy \(\mathfrak {F}_p^*\) continuous function

PF\(\mathfrak {F}_p^*\)CF

Pythagorean fuzzy \(\mathfrak {F}_p^*\) fraction dense space

PF\(\mathfrak {F}_p^*\)FDS

Pythagorean fuzzy \(\mathcal {P^*}\) space

PF\(\mathcal {P^*}\) S