Pythagorean Fuzzy Ideals of P-Algebras

Abstract

This paper develops a Pythagorean fuzzy ideal framework for -algebras. The approach combines the algebraic ideal condition with two grades satisfying the Pythagorean restriction. PFSs are used to represent the fuzzy data, while PFIs encode the ideal requirements and PFLSs connect them with ordinary ideals. The behavior of PFIs under homomorphic inverse images and Cartesian products is then examined. A PPFI notion is introduced through a coupled grade condition, which yields a direct characterization by prime level ideals. The resulting framework provides a concise way to organize ideal constructions in the Pythagorean setting of -algebras