Quadripartitioned Neutrosophic Pythagorean fuzzy ideals in near-ring

This paper investigates the structural characteristics of quadri-partitioned neutrosophic Pythagorean fuzzy ideals (QNPFIs) and Bi-Ideals (QNPFBIs) within near-rings. It is established that the intersection of any collection of QNPFIs in a near-ring continues to exhibit the properties of a QNPFI. Similarly, we show that the intersection of QNPFBIs retains its bi-ideal structure. Moreover, an analysis of the power function of a QNPFI confirms that its fundamental properties remain intact under exponentiation. These findings contribute to the broader study of algebraic systems incorporating fuzzy and neutrosophic uncertainty principles.

Abstract licence: CC BY-NC

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