Abstract

The aim of this paper is to present the notions of rough Pythagorean fuzzy ideals in semigroups. Then, this idea is extended to the lower and upper approximations of Pythagorean fuzzy left (resp. right) ideals, bi-ideals, interior ideals, $$\left( 1,2\right) $$ -ideals in semigroups and some important properties related to these notions are given.

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